American Mathematical Society 2026 New and Recent Publications

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Prices and publication dates valid as of October 2025.

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Each month features a stunning math image and every day poses a new problem. The date is the solution! The challenge lies in figuring out how to arrive at the answer and in possibly discovering more than one method of getting there.

2025; 14 pages | List Price: US $20.00

Order Code: MBK/153

AMS and MAA member discounts apply.

AMS Textbooks

The Calderón Problem

An Introduction

Joel Feldman, University of British Columbia, Vancouver, BC, Canada, Mikko Salo, University of Jyvaskyla, Finland, and Gunther Uhlmann, University of Washington, Seattle, WA

This textbook is an introduction to the mathematical theory of the Calderón problem.

• Classical Example — The Calderón problem forms the basis of Electrical Impedance Tomography (EIT), which attempts to determine electrical conductivity from boundary measurements.

• Applications — EIT arises in geophysical prospection and medical imaging.

• Graduate Level — Intended for graduate students familiar with basics of real, complex, and functional analysis.

Graduate Studies in Mathematics, Volume 253

Order Code: GSM/253.S; 2025; approximately 466 pp.; Softcover; ISBN: 978-1-4704-8197-1; List: US$89. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Mathematical Foundations of Deep Learning Models and Algorithms

Konstantinos Spiliopoulos, Boston University, MA, Richard B. Sowers, University of Illinois at Urbana Champaign, Illinois, and Justin Sirignano, University of Oxford, United Kingdom

This book provides an introduction to the mathematical theory underpinning the recent advances in deep learning.

• Models and Methods — Presents detailed derivations and mathematical proofs for models and optimization methods commonly used in machine learning and deep learning.

• Structured Approach — Part 1 covers foundations for a general audience; Part 2 explores advanced theory requiring familiarity with analysis, probability, and stochastic processes.

• Audience — Designed for advanced undergraduates, graduate students, practitioners, and researchers.

Graduate Studies in Mathematics, Volume 252

Order Code: GSM/252.S; 2025; approximately 550 pp.; Softcover; ISBN: 978-1-4704-8399-9; List: US$89. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Inequalities in Matrix Algebras

Eric Carlen, Rutgers University, New Brunswick, NJ

The theory of positive or completely positive maps from one matrix algebra to another is the mathematical theory underlying the quantum mechanics of finite systems, as well as much of quantum information and computing. This book covers:

• Core Concepts — Covers inequalities, strong subadditivity of quantum entropy, and entanglement in tensor products of Hilbert spaces.

• Mathematical Progress — Explores the evolution of entanglement theory and its role in recent advancements.

• Prerequisites — Requires a good knowledge of linear algebra and the basics of analysis and probability.

Graduate Studies in Mathematics, Volume 251

Order Code: GSM/251.S; 2025; 451 pp.; Softcover; ISBN: 978-1-4704-8026-4; List: US$89. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

The Practice of Algebraic Curves

A Second Course in Algebraic Geometry

David Eisenbud, University of California, Berkeley, CA, and Joe Harris, Harvard University, Cambridge, MA

This textbook provides readers with a working knowledge of the modern theory of complex projective algebraic curves. Also known as compact Riemann surfaces, such curves shaped the development of algebraic geometry itself, making this theory essential background for anyone working in or using this discipline. Examples underpin the presentation throughout, illustrating techniques that range across classical geometric theory, modern commutative algebra, and moduli theory.

Graduate Studies in Mathematics, Volume 250

Order Code: GSM/250.S; 2024; 413 pp.; Softcover; ISBN: 978-1-4704-7943-5; List: US$89. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

One-Dimensional Ergodic Schrödinger Operators

II. Specific Classes

David Damanik, Rice University, Houston, TX, and Jake Fillman, Texas A&M University, College Station, TX

This volume presents the theory of specific classes of ergodic operators, including the important examples of random and almost-periodic operators. The text serves as a self-contained introduction to the field for researchers new to the topic and graduate students, as well as a reference text for people already working in this area, including physicists.

Note: To view Part I, please refer to Order Code GSM/221, published in 2022.

Graduate Studies in Mathematics, Volume 249

Order Code: GSM/249.S; 2024; approximately 626 pp.; Softcover; ISBN: 978-1-4704-7924-4; List: US$89. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Introduction to Lie Algebras

Finite and Infinite Dimension

J. I. Hall, Michigan State University, East Lansing, MI

This modern introduction to Lie algebras will be of value to beginning students and also to those wanting to refresh their knowledge and be introduced to newer material. Infinite dimensional Lie algebras are treated extensively along with the finite dimensional.

Graduate Studies in Mathematics, Volume 248

Order Code: GSM/248.S; 2024; 514 pp.; Softcover; ISBN: 978-1-4704-7915-2; List: US$89. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

An Invitation to Fractal Geometry

Fractal Dimensions, Self-Similarity, and Fractal Curves

Michel L. Lapidus, University of California, Riverside, CA, and Goran Radunovic´, University of Zagreb, Croatia

This book offers a comprehensive exploration of fractal dimensions, self-similarity, and fractal curves. While fractal geometry may seem esoteric, this book demystifies it by providing a thorough introduction to its mathematical underpinnings and applications. Complete proofs are provided for most of the key results, and exercises of different levels of difficulty are proposed throughout the book.

Graduate Studies in Mathematics, Volume 247

Order Code: GSM/247.S; 2024; 600 pp.; Softcover; ISBN: 978-1-4704-7895-7; List: US$89. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Bifurcation Theory

Ale Jan Homburg, University of Amsterdam, The Netherlands, and Leiden University, The Netherlands, and Jürgen Knobloch, TU Ilmenau, Germany

This book develops a broad range of complementary techniques, both geometric and analytic, for studying bifurcations. Techniques include normal form methods, center manifold reductions, the Lyapunov-Schmidt construction, cross-coordinate constructions, Melnikov’s method, and Lin’s method. Full proofs of the results are provided.

Graduate Studies in Mathematics, Volume 246

Order Code: GSM/246.S; 2024; 521 pp.; Softcover; ISBN: 978-1-4704-7880-3; List: US$89. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Lectures on Differential Geometry

Bennett Chow, University of California, San Diego, La Jolla, CA, and Yutze Chow, University of WisconsinMilwaukee, WI

The authors of this book provide a vertically integrated introduction to differential geometry and geometric analysis. The material is presented in three distinct parts:

• an introduction to geometry via submanifolds of Euclidean space

• a first course in Riemannian geometry

• a graduate special topics course in geometric analysis

The book is primarily aimed at graduate students in geometric analysis, but it will also be of interest to postdoctoral researchers and established mathematicians looking for a refresher or deeper exploration of the topic.

Graduate Studies in Mathematics, Volume 245

Order Code: GSM/245.S; 2024; 750 pp.; Softcover; ISBN: 978-1-4704-7804-9; List: US$89. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Introduction to Complex Manifolds

John M. Lee, University of Washington, Seattle, WA

This book is an introduction to the concepts, techniques, and main results about complex manifolds, and it tells a story. Starting from familiarity with smooth manifolds and Riemannian geometry, it gradually explains what is different about complex manifolds and develops most of the main tools for working with them, using the Kodaira embedding theorem as a motivating project throughout.

Graduate Studies in Mathematics, Volume 244

Order Code: GSM/244.S; 2024; 361 pp.; Softcover; ISBN: 978-1-4704-7782-0; List: US$89. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Quantum Computation and Quantum Information

A Mathematical Perspective

J. M. Landsberg, Texas A&M University, College Station, TX

This book presents the basics of quantum computing and quantum information theory. It emphasizes the mathematical aspects and the historical continuity of both algorithms and information theory when passing from classical to quantum settings. With many exercises in each chapter, the book is designed to be used as a textbook for a course in quantum computing and quantum information theory.

Graduate Studies in Mathematics, Volume 243

Order Code: GSM/243.S; 2024; 204 pp.; Softcover; ISBN: 978-1-4704-7777-6; List: US$89. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Translation Surfaces

Jayadev S. Athreya, University of Washington, Seattle, WA, and Howard Masur, University of Chicago, IL

This textbook offers an accessible introduction to translation surfaces. Building on modest prerequisites, the authors focus on the fundamentals behind big ideas in the field: ergodic properties of translation flows, counting problems for saddle connections, and associated renormalization techniques. Translation Surfaces invites readers into this exciting area, providing an accessible entry point from the perspectives of dynamics, ergodicity, and measure theory. Suitable for a oneor two-semester graduate course, it assumes a background in complex analysis, measure theory, and manifolds, while some familiarity with Riemann surfaces and ergodic theory would be beneficial.

Graduate Studies in Mathematics, Volume 242

Order Code: GSM/242.S; 2024; 179 pp.; Softcover; ISBN: 978-1-4704-7677-9; List: US$89. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Real Algebraic Geometry and Optimization

Thorsten Theobald, Goethe University Frankfurt, Frankfurt am Main, Germany

This book provides a comprehensive and user-friendly exploration of important recent developments that reveal the connections between real algebraic geometry and optimization, enabling the joint teaching of these two subjects. Intended as an introduction for students of mathematics or related fields at an advanced undergraduate or graduate level, this book serves as a valuable resource for researchers and practitioners.

Graduate Studies in Mathematics, Volume 241

Order Code: GSM/241.S; 2024; 293 pp.; Softcover; ISBN: 978-1-4704-7636-6; List: US$89. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Analysis of Monge–Ampère Equations

Nam Q. Le, Indiana University, Bloomington, IN

This book presents a systematic analysis of the Monge–Ampère equation, the linearized Monge–Ampère equation, and their applications, with emphasis on both interior and boundary theories. Starting from scratch, it gives an extensive survey of fundamental results, essential techniques, and intriguing phenomena in the solvability, geometry, and regularity of Monge–Ampère equations. It describes in depth diverse applications arising in geometry, fluid mechanics, meteorology, economics, and the calculus of variations.

The modern treatment of boundary behaviors of solutions to Monge–Ampère equations, a very important topic of the theory, is thoroughly discussed. The book synthesizes many important recent advances, including Savin’s boundary local-

ization theorem, spectral theory, and interior and boundary regularity in Sobolev and Hölder spaces with optimal assumptions. It highlights geometric aspects of the theory and connections with adjacent research areas.

Graduate Studies in Mathematics, Volume 240

Order Code: GSM/240.S; 2024; 576 pp.; Softcover; ISBN: 978-1-4704-7625-0; List: US$89. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Introduction to the ℎ-Principle Second Edition

K. Cieliebak, University of Augsburg, Germany, Y. Eliashberg, Stanford University, CA, and N. Mishachev, Lipetsk Technical University, Russia

This expanded, revised, and, in some cases, completely rewritten second edition is nearly doubled in size from the first. The most significant addition to the original book is the new part devoted to the method of wrinkling and its applications. The authors cover two main methods for proving the ℎ-principle: holonomic approximation and convex integration. A special emphasis is made on applications to symplectic and contact geometry. This is the first broadly accessible exposition of the theory and its applications, making it an excellent text for a graduate course on geometric methods for solving partial differential equations and inequalities. Geometers, topologists, and analysts will also find much value in this very readable exposition of an important and remarkable topic.

Graduate Studies in Mathematics, Volume 239

Order Code: GSM/239.S; 2024; 363 pp.; Softcover; ISBN: 978-1-4704-7617-5; List: US$89. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Alexandrov Geometry

Foundations

Stephanie Alexander, University of Illinois, UrbanaChampaign, IL, Vitali Kapovitch, University of Toronto, ON, Canada, and Anton Petrunin, Pennsylvania State University, College State, PA

This introductory book focuses on Ricci solitons, shedding light on their role in understanding singularity formation in Ricci flow and formulating surgery-based Ricci flow, which holds potential applications in topology. Geared towards graduate students who have completed a one-semester course on Riemannian geometry, this book serves as an ideal resource for related courses or seminars centered on Ricci solitons.

Graduate Studies in Mathematics, Volume 236

Order Code: GSM/236.S; 2024; 282 pp.; Softcover; ISBN: 978-1-4704-7536-9; List: US$89. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Linear Algebra

A Problem-Centered Approach

Róbert Freud, University Eötvös Loránd, Budapest, Hungary

This textbook invites readers to dive into the mathematical ideas of linear algebra. Offering a gradual yet rigorous introduction, the author illuminates the structure, order, symmetry, and beauty of the topic. Opportunities to explore, master, and extend the theory abound, with generous exercise sets embodying the Hungarian tradition of active problem-solving.

Pure and Applied Undergraduate Texts, Volume 66

Order Code: AMSTEXT/66; 2024; 307 pp.; Softcover; ISBN: 978-1-4704-7736-3; List: US$89. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

An Introduction to Real Analysis

Yitzhak Katznelson, Stanford University, CA, and Yonatan Katznelson, University of California, Santa Cruz, CA

An Introduction to Real Analysis gives students of mathematics and related sciences an introduction to the foundations of calculus, and more generally, to the analytic way of thinking. The authors’ style is a mix of formal and informal, with the intent of illustrating the practice of analysis and emphasizing the process as much as the outcome.

The book is intended for use in a one- or two-term course for advanced undergraduates in mathematics and related fields who have completed two or three terms of a standard university calculus sequence.

Pure and Applied Undergraduate Texts, Volume 65

Order Code: AMSTEXT/65; 2024; 264 pp.; Softcover; ISBN: 978-1-4704-7421-8; List: US$89. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Introduction to Quantum Algorithms

Johannes A. Buchmann, Technical University of Darmstadt, Germany

Introduction to Quantum Algorithms offers a mathematically precise exploration of the topic, accessible to those with a basic mathematical university education, while also catering to more experienced readers. This comprehensive book is suitable for self-study or as a textbook for introductory courses on quantum computing algorithms.

Pure and Applied Undergraduate Texts, Volume 64

Order Code: AMSTEXT/64; 2024; 371 pp.; Softcover; ISBN: 978-1-4704-7398-3; List: US$89. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Analytic Number Theory Revealed

A First Guide to Prime Numbers

Andrew Granville, Université de Montréal, Canada

This is an introduction to analytic number theory developed through the study of the distribution of prime numbers, highlighting how analytic number theorists think.

• Further Directions — Topics include sieve methods, the anatomy of integers, primes in arithmetic progressions, prime gaps, smooth numbers, and probabilistic heuristics.

• Course Flexibility — Suitable for various course designs, with optional sections on combinatorics, arithmetic progressions, and open research problems.

• Student Support — Boxed equations highlight memorable formulas; exercises, some embedded in proofs, deepen understanding.

By blending classical results with current perspectives, this book prepares advanced undergraduates and beginning graduate students to not just learn analytic number theory, but to acquire contemporary ways of thinking about the subject.

Order Code: MBK/154; 2025; approximately 286 pp.; Hardcover; ISBN: 978-1-4704-8152-0; List: US$79. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

AMS | MAA Press Textbooks

Optimal Control

A Differential Equations Approach

Stewart Johnson, Williams College, Williamstown, Massachusetts

Optimal Control Theory introduces the study of dynamical systems where control variables are adjusted to achieve the best possible outcome.

• Introduces optimization techniques from calculus and develops Pontryagin’s method for one-dimensional systems, leading to linear-quadratic problems.

• Extends optimal control theory to higher-dimensional systems and goes over advanced topics, including bangbang controls, differential games, and the calculus of variations.

AMS/MAA Textbooks, Volume 75

Order Code: TEXT/75; 2025; 225 pp.; Softcover; ISBN: 978-1-4704-7783-7; List: US$75. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Experimental Mathematics

A Computational Perspective

Matthew P. Richey, St. Olaf College, Northfield, MN, and Matthew L. Wright, St. Olaf College, Northfield, MN

This textbook is designed for an undergraduate course in computational or experimental mathematics.

• Motivated Explorations — Driven by rich and interesting mathematical examples drawn from number theory, complex analysis, and probability.

• Foundational Programming Concepts — Covers algorithms, recursion, and probabilistic sampling.

• Over 450 practice problems, exercises, and explorations are distributed regularly throughout the text, reinforcing the material and encouraging further investigations.

Only minimal prior experience with computer programming is necessary, provided the reader has a computing environment, access to online documentation, and a willingness to experiment. Notably, the volume has been carefully prepared so that it may be used with almost any programming language.

AMS/MAA Textbooks, Volume 74

Order Code: TEXT/74; 2025; 355 pp.; Softcover; ISBN: 978-1-4704-7397-6; List: US$85. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

AMS | MAA Press Series

Ergodic Theory

Simon Rubinstein-Salzedo, Euler Circle, Mountain View, CA

This book provides a conversational introduction to ergodic theory, exploring the measure-theoretic properties of dynamical systems from foundational concepts to modern results.

• Fundamental Concepts – Covers measure theory, Lebesgue integration, ergodicity, and invariant measures.

• Advanced Topics – Discusses mixing, entropy, and weak* topology.

• Applications – Explores connections to number theory and combinatorics.

An excellent resource for those with proof-based math experience – real analysis is helpful but not required.

The Carus Mathematical Monographs, Volume 38

Order Code: CAR/38; 2025; 209 pp.; Softcover; ISBN: 978-1-4704-7920-6; List: US$79. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

PRACTIS

Precalculus

Review and Calculus Topics in Sync

Diana McGinnis, Georgia State University, Atlanta, Georgia, and Marilyn Reba, Georgia State University, Atlanta, Georgia

The ebook contains worksheets which may be assigned to students for targeted remediation of the necessary material to be successful in Calculus I.

• Twenty-eight worksheets covering: (1) limits, (2) differentiation, (3) applications of derivatives, and (4) integration.

• Each worksheet includes an answer key, guidelines and suggestions for use, and a table summarizing worksheet topics.

• Slides for each worksheet topic are available for classroom use or sharing via a learning management system.

A practical resource for strengthening foundational skills and supporting student success in Calculus I.

Classroom Resource Materials, Volume 76

Order Code: CLRM/76.E; 2025; 128 pp.; Electronic ISBN: 978-1-4704-7406-5; List: US$59. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Exploring Math

Nine Hands-on, Eye-opening

Lab Projects

Marco Abrate, Politecnico di Torino, Turin, Italy, Francesca Ceragioli, Politecnico di Torino, Turin, Italy, Marco Morandotti, Politecnico di Torino, Turin, Italy, and Maria Luisa Spreafico, University of Milan, Italy, Editors

This book provides an engaging collection of classroom lab projects to promote active learning and facilitate group work for high school and university students. The topics covered vary from origami and geographic maps to the shape of bridges and algorithms used on internet searches. The experimental, hands-on nature of the activities makes them suitable, not only for mathematics students, but also those majoring in subjects, such as physics and engineering.

Classroom Resource Materials, Volume 75

Order Code: CLRM/75; 2025; 144 pp.; Softcover; ISBN: 978-1-4704-7703-5; List: US$59. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Hands-On Combinatorics

Building Colorful Trains to Manifest Pascal’s Triangle, Fibonacci Numbers, and Much More

Brian Hopkins, Saint Peter’s University, Jersey City, NJ

Hands-On Combinatorics introduces combinatorial reasoning and proof through engaging activities, vivid illustrations, and a unique narrative style. Readers can explore concepts like integer compositions, graph theory, and recreational mathematics with hands-on methods, making it ideal for classrooms or self-study at any level.

Classroom Resource Materials, Volume 74

Order Code: CLRM/74; 2025; 191 pp.; Softcover; ISBN: 978-1-4704-7757-8; List: US$59. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Navigating the Math Major

Charting Your Course

Carrie Diaz Eaton, Bates College, Lewiston, ME, Allison Henrich, Seattle University, WA, Steven Klee, Amazon Web Services, Seattle, WA, and Jennifer Townsend, Microsoft, Redmond, WA

Packed with a wealth of information, Navigating the Math Major is your comprehensive resource to the undergraduate mathematics degree program to include:

• interactive exercises to help you chart your personalized course,

• a primer on study skills, including particular advice like how to effectively read mathematical literature and learn mathematically focused programming, and

• advice for seeking jobs outside academia and guidance for applying to graduate programs.

Classroom Resource Materials, Volume 73

Order Code: CLRM/73; 2024; 172 pp.; Softcover; ISBN: 978-1-4704-7583-3; List: US$65. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Teaching Mathematics Through CrossCurricular Projects

Elizabeth A. Donovan, Murray State University, KY, Lucas A. Hoots, Morehead State University, KY, and Lesley W. Wiglesworth, Centre College, Danville, KY, Editors

This book offers engaging cross-curricular modules to supplement a variety of pure mathematics courses. Every chapter was carefully designed to promote active learning strategies. Teaching Mathematics Through Cross-Curricular Projects is aimed at anyone wishing to demonstrate the utility of pure mathematics across a wide selection of real-world scenarios and academic disciplines. Even the most experienced instructor will find something new and surprising to enhance their pure mathematics courses.

Classroom Resource Materials, Volume 72

Order Code: CLRM/72; 2024; 351 pp.; Softcover; ISBN: 978-1-4704-7466-9; List: US$65. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

A Mathematical Exploration of Map Projections

C. M. Linton, Loughborough University, UK

A Mathematical Exploration of Map Projections explains the mathematics behind how Earth’s surface is transformed into flat maps and the distortions that will occur.

• Introduces the mathematical background of map projections, focusing on distortion, and the classification of different projection methods.

• Discusses different important projection types including: cylindrical, azimuthal, and conical, using tools from multivariable calculus to derive their equations.

• Brings historical context with technical explanations, supported by over sixty diagrams and maps that bring mathematics to life.

Dolciani Mathematical Expositions, Volume 59

Order Code: DOL/59; 2025; approximately 187 pp.; Softcover; ISBN: 978-1-4704-8202-2; List: US$69. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Exploring Discrete Geometry

Thomas Q. Sibley, St. John’s University, Collegeville, MN

Together with its clear mathematical exposition, the problems in this book take the reader from an introduction to discrete geometry all the way to its frontiers, following the main theme: “When you have answered the question, it is time to question the answer.” Numerous drawings, informal explanations, and careful reasoning build on high school algebra and geometry.

Anneli Lax New Mathematical Library, Volume 56

Order Code: NML/56; 2024; 156 pp.; Softcover; ISBN: 978-1-4704-7807-0; List: US$69. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

The Mathematical Playground People and Problems from 31 Years of Math Horizons

Alissa S. Crans, Loyola Marymount University, Los Angeles, CA, and Glen T. Whitney, Prison Math Project, Phoenix, AZ, Editors

Welcome to The Mathematical Playground, a book celebrating more than thirty years of the problems column in the MAA undergraduate magazine, Math Horizons. Anecdotes, interviews, and historical sketches accompany the puzzles, conveying the vibrancy of the “Playground” community.

The Mathematical Playground has plenty to offer both novice and experienced solvers. Just remember the most important rule...Have fun!

Problem Books, Volume 38

Order Code: PRB/38; 2024; 370 pp.; Softcover; ISBN: 978-1-4704-7752-3; List: US$39. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Milestones in Graph Theory

A Century of Progress

Lowell W. Beineke, Purdue University Fort Wayne, IN, Bjarne Toft, University of Southern Denmark, Odense, Denmark, and Robin J. Wilson, The Open University, Milton Keynes, England

This book gives an engaging overview of the advances in graph theory during the 20th century.

• Seven chapters explore specific areas of graph theory, including map colorings, planarity, Hamiltonian graphs, matchings, extremal graph theory, and complexity.

• Each chapter includes extensive notes with additional context, commentary, and bibliographic references.

This book is suitable not only for graph theorists, but also for anyone interested in learning about the history of this fascinating subject. Some basic knowledge of linear algebra and group theory would be helpful but is certainly not essential.

Spectrum, Volume 108

Order Code: SPEC/108; 2025; 124 pp.; Softcover; ISBN: 978-1-4704-6431-8; List: US$69. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

A Mathematician’s Angle on School Math

Essays from the First 25 Years of the MAA Online

Column, Devlin’s Angle, 1996–2020

Keith Devlin, Stanford University, CA

In this book, Keith Devlin has celebrated the first quarter century of the MAA’s Devlin’s Angle by curating a collection of 46 of the 288 posts from that period, chosen for their relevance to K–12 mathematics teaching.

• Arranged into nine chapters, each introduced with context on the history and nature of the posts.

• Includes teaching multiplication, fostering conceptual understanding, and exploring mathematical creativity, with a final chapter on college-level instruction.

This book will appeal to mathematics teachers at all levels, as well as anyone interested in mathematics education at the K–12 level.

Spectrum, Volume 107

Order Code: SPEC/107; 2025; 260 pp.; Softcover; ISBN: 978-1-4704-7933-6; List: US$39. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

The Genius of Gaudí

Geometry and Architecture

Claudi Alsina, Universitat Politècnica de Catalunya, Barcelona, Spain, and Roger B. Nelsen, Lewis & Clark College, Portland, Oregon

This book explores the mathematics underlying the works of Antoni Gaudí, illustrating the geometric applications found in his buildings.

• Geometry in Gaudí’s Work – Covers plane curves, ruled surfaces, ellipsoids, paraboloids, polygons, and polyhedra.

• Rich Visuals – Includes over 300 graphics and photographs.

• Mathematical Connections – Features “Math Moments” linking Gaudí’s designs to mathematical concepts and mathematicians.

• Additional Resources – Includes a biography, technical notes, and supplemental proofs.

Suitable for lovers of geometry or architecture, the modest prerequisites mean The Genius of Gaudí can also be used as a supplemental text for a geometry course at the high-school level and above.

Spectrum, Volume 106

Order Code: SPEC/106; 2025; 171 pp.; Softcover; ISBN: 978-1-4704-7922-0; List: US$69. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Tasty Japanese Morsels in Recreational Mathematics

Toshihiro Kawamata, Pamfor Paper and Pulp, Inc., Toronto, ON, Canada, Andy Liu, Edmonton, AB, Canada, and George Sicherman, Red Bank, NJ, Editors Yoshiyuki Kotani, Tokyo University of Agriculture and Technology, Japan

Translated by Shinto Kai and Toshihiro Kawamata.This book is a charming collection of puzzles created by Yoshiyuki Kotani, one of the founding members of the Academy of Recreational Mathematics, Japan. Kotani has selected some of his favorite puzzles from over 40 years of puzzle setting, most of which have never appeared in western literature. Beginning with a sampler of problems to whet the appetite, the reader is led through a three-course menu of combinatorial, arithmetic, and geometrical problems. Suitable for anyone with an interest in recreational mathematics, the puzzles in this book require no formal mathematical training.

Spectrum, Volume 105

Order Code: SPEC/105; 2024; 261 pp.; Softcover; ISBN: 978-1-4704-7678-6; List: US$39. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

AMS Series

Billiards, Surfaces, and Geometry

A Problem-Centered Approach

Diana Davis, Phillips Exeter Academy, New Hampshire

Billiards, Surfaces, and Geometry guides readers to discover the beautiful structure of mathematical billiards. Centered around expertly designed problem sets, the book incrementally builds up ideas through threads of related problems, fostering curiosity, exploration, and conversation.

• Explores periodic billiard paths, including connections to continued fractions and symbolic dynamics

• Billiards in triangles and other polygons, flows on translation surfaces and interval exchange transformations

• Outer billiards, tiling billiards, and other topics

• Portraits of contemporary mathematicians and achievements of the billiards community

Student Mathematical Library, Volume 109

Order Code: STML/109; 2025; approximately 241 pp.; Softcover; ISBN: 978-1-4704-8379-1; List: US$59. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

The Mathematics of Cellular Automata

Jane Hawkins, University of North Carolina at Chapel Hill, North Carolina

This book offers a rigorous mathematical introduction to cellular automata (CA). Numerous colorful graphics illustrate the many intriguing phenomena, inviting undergraduates to step into the rich field of symbolic dynamics. Designed for undergraduates studying mathematics and related areas, the text provides ample opportunities for projects or further study. Computer use for the labs is largely optional, providing flexibility for different preferences and resources. Knowledge of advanced calculus and linear algebra is essential, while a course in real analysis would be ideal.

Student Mathematical Library, Volume 108

Order Code: STML/108; 2024; 228 pp.; Softcover; ISBN: 978-1-4704-7537-6; List: US$59. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Fourier Analysis on Polytopes and the Geometry of Numbers

Part I: A Friendly Introduction

Sinai Robins, University of São Paulo, Brazil

This book offers a gentle introduction to the geometry of numbers from a modern Fourier-analytic point of view. One of the main themes is the transfer of geometric knowledge of a polytope to analytic knowledge of its Fourier transform. The approach is unique and streamlines this emerging field by presenting new simple proofs of some basic results of the field. Includes: (1) Exercises in each chapter and (2) Appendix with selected solutions and hints.

Student Mathematical Library, Volume 107

Order Code: STML/107; 2024; 325 pp.; Softcover; ISBN: 978-1-4704-7033-3; List: US$59. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Matrix Models for Population, Disease, and Evolutionary Dynamics

J. M. Cushing, University of Arizona, Tucson, AZ

This book offers an introduction to the use of matrix theory and linear algebra in modeling the dynamics of biological populations and covers: (1) the basics of modeling methodology; (2) the fundamentals of the analysis of discrete time dynamical systems; (3) numerous examples illustrating these fundamentals; and (4) applications at the end of each chapter.

With a focus on matrix models, the book requires only first courses in multivariable calculus and matrix theory or linear algebra as prerequisites.

Student Mathematical Library, Volume 106

Order Code: STML/106; 2024; 274 pp.; Softcover; ISBN: 978-1-4704-7334-1; List: US$59. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Applied Stochastic Analysis

Miranda Holmes-Cerfon, University of British Columbia, Vancouver, BC, Canada

This textbook introduces the major ideas of stochastic analysis with a view to modeling or simulating systems involving randomness. Suitable for students and researchers in applied mathematics and related disciplines, this book prepares readers to solve concrete problems arising in physically motivated models.

Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.

Courant Lecture Notes, Volume 33

Order Code: CLN/33; 2024; 235 pp.; Softcover; ISBN: 978-1-4704-7839-1; List: US$59. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Lattice Models and Conformal Field Theory

Franck Gabriel, Université Lyon 1, France, Clément Hongler, EPFL, Lausanne, Switzerland, and Francesco Spadaro, Zürich, Switzerland

This book introduces the mathematical ideas connecting Statistical Mechanics and Conformal Field Theory (CFT). Building advanced structures on top of more elementary ones, the authors map out the road from simple lattice models to CFTs. Suitable for graduate students and researchers in mathematics and physics, Lattice Models and Conformal Field Theory introduces the ideas at the core of Statistical Field Theory.

Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.

Courant Lecture Notes, Volume 32

Order Code: CLN/32; 2024; approximately 205 pp.; Softcover; ISBN: 978-1-4704-5618-4; List: US$55. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Integer-Valued Polynomials

From Combinatorics to Number Theory, �� -adic Analysis, Commutative and Non-Commutative Algebra

Jean-Luc Chabert, University of Picardie, France

This book presents the theory of integer-valued polynomials, as transformed by the work of Manjul Bhargava in the late 1990s. Building from the core ideas in commutative algebra and number theory, the author encompasses results in combinatorics, ultrametric analysis, probability, dynamical systems, and non-commutative algebra. A thoroughly modern sequel to the author’s 1997 Integer-Valued Polynomials with Paul-Jean Cahen, this book welcomes readers with a grounding in commutative algebra and number theory at the level of Dedekind domains.

Whether already established in the area or just starting out, readers will find this deep and approachable treatment to be an essential companion to research.

Colloquium Publications, Volume 69

Order Code: COLL/69; 2025; approximately 314 pp.; Hardcover; ISBN: 978-1-4704-8206-0; List: US$99. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

The Heisenberg Group

A Survey

Gerald B. Folland, University of Washington, Seattle, WA

This book presents a concise and readable introduction to the Heisenberg group, highlighting its importance across various mathematical topics, along with brief descriptions of further research in the area over the past few decades.

• Broad Applications — Covers group representation theory, mathematical physics, complex analysis, PDEs, and differential geometry.

• Research Overview — Summarizes developments in the field over the past decades.

• Extensive References — Provides copious resources for further study.

• Prerequisites — Assumes a graduate-level course in modern real analysis, plus the rudiments of functional analysis, Fourier analysis, differential geometry, and Lie groups.

An accessible resource for those looking to explore the many facets of the Heisenberg group.

Colloquium Publications, Volume 68

Order Code: COLL/68; 2025; 233 pp.; Hardcover; ISBN: 978-1-4704-7989-3; List: US$65. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Sturm–Liouville Operators, Their Spectral Theory, and Some Applications

Fritz Gesztesy, Baylor University, Waco, TX, Roger Nichols, The University of Tennessee at Chattanooga, TN, and Maxim Zinchenko, University of New Mexico, Albuquerque, NM

This book provides a detailed treatment of the various facets of modern Sturm–Liouville theory, including such topics as Weyl–Titchmarsh theory, classical, renormalized, and perturbative oscillation theory, boundary data maps, traces and determinants for Sturm–Liouville operators, strongly singular Sturm–Liouville differential operators, generalized boundary values, and Sturm–Liouville operators with distributional coefficients.

Through various examples and detailed appendices, this book delves into applications ranging from Floquet theory to Bessel functions, making it a valuable resource for understanding the depth and breadth of this mathematical framework.

Colloquium Publications, Volume 67

Order Code: COLL/67; 2024; 927 pp.; Hardcover; ISBN: 978-1-4704-7666-3; List: US$135. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Nigel Kalton’s Lectures in Nonlinear Functional Analysis

Adam Bowers, University of California, San Diego, CA

This book presents an annotated reproduction of the graduate-level mathematics course notes in nonlinear functional analysis by the late Nigel Kalton. It is an introduction to the active field of research of the nonlinear geometry of Banach spaces and considers significant problems in the field.

University Lecture Series, Volume 79

Order Code: ULECT/79; 2024; 255 pp.; Softcover; ISBN: 978-1-4704-7347-1; List: US$69. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

What’s Happening in the Mathematical Sciences, Volume 13

Dana Mackenzie and Leila Sloman

The 13th volume of What’s Happening in the Mathematical Sciences is an exquisitely crafted and skillfully authored examination of cutting-edge advancements in mathematics. Dana Mackenzie and Leila Sloman explore topics ranging from artificial intelligence to non-Euclidean geometry. This volume includes articles on:

• The math behind ChatGPT and GPT-4 in “Deep Learning: Part Math, Part Alchemy”

• Recent advances in tiling, higher-dimensional spherepacking, and 3D scene reconstruction in “One Stone to Rule Them All,” “A Fascination of Spheres,” and “Multi-View Geometry: E Pluribus Unum”

• Exploring non-Euclidean geometry in “How to Draw an Alternate Universe”

• Breakthroughs in algebraic geometry with “How Mathematicians Unearthed the Stubborn Secrets of Fano Varieties”

• A challenging number theory problem in “Missing One Digit”

• Fluid singularities and machine learning insights in “Fluid Flow: Two Paths to a Singularity”

What’s Happening in the Mathematical Sciences, Volume 13

Order Code: HAPPENING/13; 2024; 126 pp.; Softcover; ISBN: 978-1-4704-7490-4; List: US$29. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Selected Chapters in Number Theory

Hermann Minkowski

The present book is an English translation of notes (never published) from the course on number theory taught by Hermann Minkowski in Winter 1907/08. The main topic of the course was the Fermat theorem and various methods used to prove it at that time. The book can be helpful and

interesting to students in number theory and to anyone interested in mathematics and its history.

History of Mathematics, Volume 50

Order Code: HMATH/50; 2025; approximately 154 pp.; Softcover; ISBN: 978-1-4704-8201-5; List: US$85 For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Between Two Disciplines

B. L. van der Waerden and the Development of Quantum Mechanics

Martina R. Schneider, Wiesbaden, Germany

This book offers a historical analysis of Bartel Leendert van der Waerden’s early contributions to quantum mechanics; in particular, focusing on his role in the development and application of group-theoretic methods around 1930. The reader is expected to have beginning, graduate-level knowledge of mathematics — mainly algebra and, in particular, representation theory — as well as some background in quantum physics.

History of Mathematics, Volume 49

Order Code: HMATH/49; 2025; approximately 372 pp.; Softcover; ISBN: 978-1-4704-5079-3; List: US$129. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Instructing the Mathematical Imagination

Charlotte Angas Scott and Bryn Mawr College, 1880s to 1920s

Jemma Lorenat, Pitzer College, Claremont, CA

This book examines the creation and character of mathematical training at Bryn Mawr College between 1885 and 1926 under the leadership of Charlotte Angas Scott.

• The study situates Scott and her students within broader shifts in the American mathematical community,

including changing access to education, publication, and professional networks.

• The book rewards those interested in the disciplinary, epistemological, and material conditions of mathematical research. The technical content is within the reach of advanced undergraduate students.

History of Mathematics, Volume 48

Order Code: HMATH/48; 2025; 259 pp.; Softcover; ISBN: 978-1-4704-7493-5; List: US$75. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Common Inessential Discriminant Divisors

Scenes from the Early History of Algebraic Number

Theory

Fernando Q. Gouvêa, Colby College, Waterville, ME, and Jonathan Webster, Butler University, Indianapolis, IN

Common Inessential Discriminant Divisors explores a foundational nineteenth-century problem in algebraic number theory, which then shaped the early development of the field. This problem influenced the work of Dedekind, Kronecker, and Hensel.

• Demonstrates how the development of “common inessential discriminant divisors” drove new concepts into algebraic number theory and shows the lasting influence it has.

• Provides annotated translations of original work from Dedekind, Kornecker, and Hensel. Offering direct insight into each of their approaches firsthand.

• Looks at how the discovery of “common inessential discriminant divisors” created unexpected obstacles in the generalization of Kummer’s theory.

History of Mathematics, Volume 47

Order Code: HMATH/47; 2025; 141 pp.; Softcover; ISBN: 978-1-4704-7524-6; List: US$95. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Max Dehn

Polyphonic Portrait

Jemma Lorenat, Pitzer College, Claremont, CA, John McCleary, Vassar College, Poughkeepsie, NY, Volker R. Remmert, Bergische Universität Wuppertal, Germany, David E. Rowe, Johannes Gutenberg University, Mainz, Germany, and Marjorie Senechal, Smith College, Northhampton, MA, Editors

This book offers a fascinating glimpse into the life and legacy of Max Dehn, a mathematician renowned for his contributions to geometry and topology, as well as his broader impact on the intellectual community. Through a collection of essays by mathematicians and historians, the book explores Dehn’s mathematical achievements, his rich involvement with historical and artistic pursuits, and his remarkable journey from Hilbert’s gifted student to a refugee at Black Mountain College.

History of Mathematics, Volume 46

Order Code: HMATH/46; 2024; 274 pp.; Softcover; ISBN: 978-1-4704-6106-5; List: US$125. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Playing with Shape and Form

A Glimpse of Topology

Richard Evan Schwartz, Brown University, Providence, RI

This book offers a playful, illustration-driven introduction to topology, presenting classic results from undergraduate courses in a way that’s accessible to all, even those with no math background. Perfect for anyone curious to explore the basics of topology.

Order Code: MBK/152; 2024; 154 pp.; Softcover; ISBN: 978-1-4704-7959-6; List: US$25. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Univalent Functions in Quantum Probability Theory

Sebastian Schlessinger, University of Wuerzburg, Germany

Univalent Functions in Quantum Probability Theory reveals how univalent functions appear in quantum probability theory.

• Introduces quantum probability spaces and five notions of independence, including monotone independence and its relations to classical, free, and Boolean independence.

• Covers convolutions and central limit theorems, univalent functions, Loewner chains, slit mappings, and connections with free hemigroups and nonlinear resolvents.

• Exercises with solutions support active learning.

Mathematical Surveys and Monographs, Volume 294

Order Code: SURV/294; 2025; 268 pp.; Softcover; ISBN: 978-1-4704-8180-3; List: US$135. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Ricci Solitons in Dimensions 4 and Higher

Bennett Chow, University of California, San Diego, La Jolla, CA, Brett Kotschwar, Arizona State University, Tempe, AZ, and Ovidiu Munteanu, University of Connecticut, Storrs, CT

Ricci Solitons in Dimensions 4 and Higher offers a detailed account of recent developments of Ricci solitons — selfsimilar solutions to the Ricci flow equation — which play a central role in modeling the formation of singularities of the flow.

• Covers complete noncompact solitons, curvature growth and decay, bounds on topological ends, asymptotic behavior, and volume growth.

• Presents key results, open problems, and new perspectives, including applications of Bamler’s theory.

Written for graduate students and researchers in differential geometry, geometric analysis, and mathematical physics, the book is accessible to readers with a solid background in Riemannian geometry and partial differential equations.

Mathematical Surveys and Monographs, Volume 293

Order Code: SURV/293; 2025; 398 pp.; Softcover; ISBN: 978-1-4704-7964-0; List: US$135. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Morse Index of Minimal Submanifolds

Francisco Urbano, Universidad de Granada, Spain

This book provides a systematic treatment of the main results on the Morse index of minimal submanifolds of Riemannian manifolds.

• Introductory Chapter – Reviews the necessary material for understanding the subject.

• Basic Properties and Examples – Surveys the Morse index and includes a large number of examples with corresponding calculations.

• For Graduate Students and Researchers – A resource for those working in geometric analysis.

Mathematical Surveys and Monographs, Volume 292 Order Code: SURV/292; 2025; 293 pp.; Softcover; ISBN: 978-1-4704-8021-9; List: US$135. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Iwasawa Theory and Its Perspective: Volumes 1, 2, and 3

Tadashi Ochai, Tokyo Institute of Technology, Japan

Iwasawa theory began in the late 1950s with Kenkichi Iwasawa’s work on ideal class groups in the cyclotomic tower of number fields and their relation to �� -adic ��-functions.

• Volume 1 – Explains the theory of ideal class groups, including its algebraic aspect (the Iwasawa class number formula), its analytic aspect (Leopoldt–Kubota ��-functions), and the Iwasawa main conjecture.

• Volume 2 – explains various aspects of the cyclotomic Iwasawa theory of �� -adic Galois representations.

• Volume 3 – presents additional aspects of the Iwasawa theory of �� -adic Galois deformations.

To order individual parts/volumes or the complete set, please specify the relevant order code.

Mathematical Surveys and Monographs

Volume 1 : 2023; 154 pp.; Softcover; ISBN: 978-1-4704-5672-6; Order code: SURV/272

Volume 2 : 2024; 211 pp.; Softcover; ISBN: 978-1-4704-5673-3; Order code: SURV/280

Volume 3: 2025; 124 pp.; Softcover; ISBN: 978-1-4704-7732-5; Order code: SURV/291

Set: Order Code: SURV-OCHIAI-SET; 2025; 489 pp.; Softcover; ISBN: 978-1-4704-8177-3; List: US$350. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Stability of Nonlinear Waves in Hamiltonian Dynamical Systems

Anna Geyer, Delft University of Technology, The Netherlands, and Dmitry E. Pelinovsky, McMaster University, Hamilton, ON, Canada

This monograph offers a comprehensive and accessible treatment of both classical and modern approaches to the stability analysis of nonlinear waves in Hamiltonian systems.

• Foundational Concepts — Covers stability of equilibrium points and periodic orbits in finite-dimensional systems.

• Infinite-Dimensional Systems — Explores orbital stability and linearization techniques for nonlinear dispersive wave equations, including the nonlinear Schrödinger, Korteweg–de Vries, and Camassa–Holm equations.

• For Graduate Students & Researchers — Consolidates decades of research alongside recent advancements in the field.

An essential resource for those studying the stability of nonlinear waves in Hamiltonian systems.

Mathematical Surveys and Monographs, Volume 288

Order Code: SURV/288; 2025; 372 pp.; Softcover; ISBN: 978-1-4704-7552-9; List: US$135. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Basic Modern Theory of Linear Complex Analytic �� -Difference Equations

Jacques Sauloy

This book presents, in detail, the fundamental techniques of linear complex analytic �� -difference equations. There are 535 exercises of various styles and levels of difficulty. This book will be of interest to expert and non-expert researchers as well as graduate students in mathematics and physics.

Mathematical Surveys and Monographs, Volume 287

Order Code: SURV/287; 2024; 664 pp.; Softcover; ISBN: 978-1-4704-7840-7; List: US$135. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Bimonoidal Categories, ���� -Monoidal Categories, and Algebraic �� -Theory (The Set)

Volumes I, II, and III

Donald Yau, The Ohio State University at Newark, OH, and Niles Johnson, The Ohio State University at Newark, OH

This three-volume set published by the AMS offers a comprehensive exploration of bimonoidal categories, their applications to quantum groups, topological quantum computation, and algebraic �� -theory. With a focus on both established results and new discoveries, this work is an essential resource for graduate students and researchers in these fields.

To order individual parts/volumes or the complete set, please specify the relevant order code.

Mathematical Surveys and Monographs

Volume I: 2024; 520 pp.; Softcover; ISBN: 978-1-4704-7809-4; Order code: SURV/283

Volume II: 2024; 404 pp.; Softcover; ISBN: 978-1-4704-7810-0; Order code: SURV/284

Volum III: 2024; 598 pp.; Softcover; ISBN: 978-1-4704-7811-7; Order code: SURV/285

Set: Order Code: SURV-YAU-SET; 2024; approximately 1516 pp.; Softcover; ISBN: 978-1-4704-7941-1; List: US$325. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Trees of Hyperbolic Spaces

Michael Kapovich, University of California, Davis, CA, and Pranab Sardar, Indian Institute of Science Education and Research, Mohali, India

This book offers an alternative proof of the Bestvina–Feighn combination theorem for trees of hyperbolic spaces and describes uniform quasigeodesics in such spaces. Topics covered include:

• Describes uniform quasigeodesics in these spaces.

• Examines the structure of Cannon–Thurston laminations in the context of trees of hyperbolic spaces.

• Includes background material on coarse geometry and geometric group theory.

Mathematical Surveys and Monographs, Volume 282

Order Code: SURV/282; 2024; 278 pp.; Softcover; ISBN: 978-1-4704-7425-6; List: US$135. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Discrete-Time Dynamics of Structured Populations and Homogeneous OrderPreserving Operators

Horst R. Thieme, Arizona State University, Tempe, AZ

This book combines the theory of discrete-time dynamical systems with applications to population dynamics with an emphasis on spatial structure. While this book offers an intro-

duction to ordered normed vector spaces, some background in real and functional analysis (including some measure theory for a few chapters) will be helpful. The appendix and selected exercises provide a primer about basic concepts and relevant topics one may not find in every analysis textbook.

Mathematical Surveys and Monographs, Volume 281

Order Code: SURV/281; 2024; 342 pp.; Softcover; ISBN: 978-1-4704-7465-2; List: US$135. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Automorphic Forms Beyond GL2

Lectures from the 2022 Arizona Winter School

Hang Xue, University of Arizona, Tuscon, AZ, Editor

Ellen Elizabeth Eischen, University of Oregon, Eugene, OR, Wee Teck Gan, National University of Singapore, Republic of Singapore, Aaron Pollack, University of California San Diego, La Jolla, CA, and Zhiwei Yun, Massachusetts Institute of Technology, Cambridge, MA

This book features expository accounts of several topics on automorphic forms on higher rank groups, including: (1) rationality questions on unitary group, (2) theta lifts and their applications to Arthur’s conjectures, (3) quaternionic modular forms, and (4) automorphic forms over functions fields and their applications to inverse Galois problems. This book provides a valuable resource for those looking to explore the Langlands program beyond the well-studied GL(2) case, offering both a foundational introduction and deeper insights into cutting-edge research topics in automorphic forms on higher rank groups.

Mathematical Surveys and Monographs, Volume 279

Order Code: SURV/279; 2024; 187 pp.; Softcover; ISBN: 978-1-4704-7492-8; List: US$135. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Applications of Group Theory in Cryptography

Post-quantum Group-based Cryptography

Delaram Kahrobaei, Queens College, The City University of New York, Flushing, NY, and University of York, United Kingdom, Ramón Flores, University of Seville, Spain, Marialaura Noce, University of Salerno, Italy, Maggie E. Habeeb, Pennsylvania Western University, California, PA, and Christopher Battarbee, University of York, United Kingdom

This book is intended as a comprehensive treatment of group-based cryptography accessible to both mathematicians and computer scientists, with emphasis on the most recent developments in the area.

Mathematical Surveys and Monographs, Volume 278

Order Code: SURV/278; 2024; 141 pp.; Softcover; ISBN: 978-1-4704-7469-0; List: US$135. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Proceedings of Symposia

Mathematical and Computational Methods for Complex Social Systems

Heather Z. Brooks, Harvey Mudd College, Claremont, CA, Michelle Feng, California Institute of Technology, Pasadena, CA, Mason A. Porter, University of California, Los Angeles, CA, and Alexandria Volkening, Purdue University, West Lafayette, IN, Editors

This volume examines the mathematical and computational study of complex social systems, exploring how individuals interact and form collective dynamics.

• Mathematical & Computational Methods – Explores mathematical modeling, data analysis, network science, topology, and geometry.

• Comprehensive Coverage – Includes both introductory surveys/tutorials and original research articles.

• Audience – Ideal for those interested in applied mathematics.

Proceedings of Symposia in Applied Mathematics, Volume 80 Order Code: PSAPM/80; 2025; 163 pp.; Softcover; ISBN: 978-1-4704-6459-2; List: US$135. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

The Langlands Program

Pierre-Henri Chaudouard, Institut Universitaire de France, Paris, France, Wee Teck Gan, National University of Singapore, Singapore, Tasho Kaletha, University of Bonn, Germany, and Yiannis Sakellaridis, Johns Hopkins University, Baltimore, Maryland, Editors

These three volumes comprise the proceedings of a summer school on the Langlands Program held at the Institut des Hautes Études Scientifiques during the three weeks of July 11 – 29, 2022.

To order individual parts/volumes or the complete set, please specify the relevant order code.

Proceedings of Symposia in Pure Mathematics, Volume 112

Volume I: 2025; approximately 510 pp.; Softcover; ISBN: 978-1-47047437-9; Order code: PSPUM/112.1

Volume II: 2025; 551 pp.; Softcover; ISBN: 978-1-4704-7438-6; Order code: PSPUM/112.2

Volume III: 2025; 425 pp.; Softcover; ISBN: 978-1-4704-7439-3; Order code: PSPUM/112.3

Set: Order Code: PSPUM/112; 2025; Softcover; ISBN: 978-1-4704-8467-5; List: US$350. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Combinatorial, Computational, and Applied Algebraic Geometry

A Tribute to Bernd Sturmfels

Serkan Hos¸ten, San Francisco State University, CA, Diane Maclagan, University of Warwick, Coventry, United Kingdom, and Frank Sottile, Texas A&M University, College Station, TX, Editors

This volume presents many surveys with a wide range of topics formed by the contributions of Bernd Sturmfels. Topics range from Gröbner bases and toric varieties to tropical geometry, algebraic statistics, and beyond. Provides introductions alongside surveys that summarize the state of each topic. This book will be useful for graduate students and/or researchers interested in algebraic geometry, combinatorics, and any other related field.

Proceedings of Symposia in Pure Mathematics, Volume 111

Order Code: PSPUM/111; 2025; 364 pp.; Softcover; ISBN: 978-1-4704-7360-0; List: US$139. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Open Problems in Algebraic Combinatorics

Christine Berkesch, University of Minnesota, Twin Cities, Minneapolis, MN, Benjamin Brubaker, University of Minnesota, Twin Cities, Minneapolis, MN, Gregg Musiker, University of Minnesota, Twin Cities, Minneapolis, MN, Pavlo Pylyavskyy, University of Minnesota, Twin Cities, Minneapolis, MN, and Victor Reiner, University of Minnesota, Twin Cities, Minneapolis, MN, Editors

This volume captures the vibrant field of algebraic combinatorics, featuring contributions from the 2022 conference on Open Problems in Algebraic Combinatorics. The editors aim to inspire further research and collaboration by presenting significant findings alongside open problems and conjectures.

Proceedings of Symposia in Pure Mathematics, Volume 110

Order Code: PSPUM/110; 2024; 371 pp.; Softcover; ISBN: 978-1-4704-7333-4; List: US$139. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Frontiers in Geometry and Topology

Paul M. N. Feehan, Rutgers, The State University of New Jersey, Piscataway, NJ, Lenhard L. Ng, Duke University, Durham, NC, and Peter S. Ozsváth, Princeton University, NJ, Editors

Frontiers in Geometry and Topology celebrates the sixtieth birthday of Tomasz Mrowka, which was held from August 1–12, 2022, at the Abdus Salam International Centre for Theoretical Physics (ICTP). Articles in this volume cover topics including:

• Knot theory

• The topology of three and four-dimensional manifolds

• Instanton

• Monopole

• Heegaard Floer homologies

• Khovanov homology

• Pseudoholomorphic curve theory

Proceedings of Symposia in Pure Mathematics, Volume 109 Order Code: PSPUM/109; 2024; 284 pp.; Softcover; ISBN: 978-1-4704-7087-6; List: US$139. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Categorical, Combinatorial and Geometric Representation Theory and Related Topics

Pramod N. Achar, Louisiana State University, Baton Rouge, LA, Kailash C. Misra, North Carolina State University, Raleigh, NC, and Daniel K. Nakano, University of Georgia, Athens, GA, Editors

This book is the third Proceedings of the Southeastern Lie Theory Workshop Series covering years 2015–21. Some of the articles by experts in the field describe recent developments while others include new results in categorical, combinatorial, and geometric representation theory of algebraic groups, Lie (super) algebras, and quantum groups, as well as on some related topics. This book will be useful to any researcher working in Lie theory and related areas.

Proceedings of Symposia in Pure Mathematics, Volume 108 Order Code: PSPUM/108; 2024; 523 pp.; Softcover; ISBN: 978-1-4704-7117-0; List: US$139. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

String-Math 2022

Ron Donagi, University of Pennsylvania, Philadelphia, PA, Adrian Langer, University of Warsaw, Poland, Piotr Sułkowski, University of Warsaw, Poland, and Katrin Wendland, Trinity College, Dublin, Ireland, Editors

This 12th String-Math conference focused on several actively developing research areas. The proceedings of the conference contain articles summarizing 14 lectures, providing valuable insights for graduate students and researchers interested in the mathematical aspects of quantum field theory and string theory. This compilation serves as a comprehensive resource for those seeking to explore and contribute to these dynamic and rapidly evolving fields.

Proceedings of Symposia in Pure Mathematics, Volume 107 Order Code: PSPUM/107; 2024; 296 pp.; Softcover; ISBN: 978-1-4704-7240-5; List: US$139. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Geometry of Banach Spaces and Related Fields

Gilles Godefroy, Institute de Mathématiques de Jussieu, Paris, France, Mohammad Sal Moslehian, Ferdowsi University of Mashhad, Iran, and Juan Benigno SeoaneSepúlveda, Universidad Complutense de Madrid, Spain, Editors

This book provides a comprehensive presentation of recent approaches to and results about properties of various classes of functional spaces, such as Banach spaces, uniformly convex spaces, function spaces, and Banach algebras. Suitable

for graduate students and researchers interested in functional analysis and operator theory.

Proceedings of Symposia in Pure Mathematics, Volume 106

Order Code: PSPUM/106; 2024; 346 pp.; Softcover; ISBN: 978-1-4704-7570-3; List: US$139. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Distributed Series

MathSci.ai

Unlocking LaTeX Graphics

A Concise Guide to TikZ/PGF and PGFPLOTS

Tamara G. Kolda, MathSci.ai

A publication of MathSci.ai. Distributed in print by the American Mathematical Society.

Order Code: LTEXGRPH; 2024; 126 pp.; Softcover; ISBN: 979-8-99-122950-0; List: US$29.95. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Lie Groups and Lie Algebras

M. S. Raghunathan, UM-DAE Centre for Excellence in Basic Sciences, Mumbai, India

A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels.

Hindustan Book Agency

Order Code: HIN/85; 2024; 160 pp.; Hardcover; ISBN: 978-81-957829-5-6; List: US$56. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Natural Math

Farzanah and the 17 Camels

Sue Looney, Looney Math Consulting

A publication of Natural Math; distributed by the American Mathematical Society.

Natural Math, Volume 11

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Theta Foundation

Postpandemic Operator Theory

Conference Proceedings, Timis¸oara, June 27–July 1, 2022

Dumitru Gaspar, West University of Timis¸oara, Romania, Dan Timotin, Institute of Mathematics, Bucharest, Romania, William T. Ross, University of Richmond, VA, and FlorianHoria Vasilescu, University of Lille, France, Editors

A publication of the Theta Foundation. Distributed worldwide, except in Romania, by the AMS.

Theta Foundation International Book Series of Mathematical Texts

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Tata Institute of Fundamental Research

Arithmetic Geometry

N. Fakhruddin, Tata Institute of Fundamental Research, Mumbai, India, E. Ghate, Tata Institute of Fundamental Research, Mumbai, India, A. Nair, Tata Institute of Fundamental Research, Mumbai, India, C. S. Rajan, Tata Institute of Fundamental Research, Mumbai, India, and S. Varma, Tata Institute of Fundamental Research, Mumbai, India, Editors

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Tata Institute of Fundamental Research Publications

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123 Problems for Mathematics Competitions

Titu Andreescu, University of Texas at Dallas, Richardson, TX

XYZ Series, Volume 60

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Regular Polygons

Djura Paunic´, University of Novi Sad, Serbia

XYZ Series, Volume 59

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CleverMath Combinatorics

Titu Andreescu, University of Texas at Dallas, Richardson, TX

XYZ Series, Volume 58

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Calculus CD: Book I

Titu Andreescu, University of Texas at Dallas, Richardson, Texas, and Alessandro Ventullo, University of Milan, Italy

XYZ Series, Volume 57

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Mathematical Reflections: Two Meaningful Years (2022–2023)

Titu Andreescu, University of Texas at Dallas, Richardson, Texas, and Maxim Igantiuc, University of Texas at Dallas, Richardson, Texas

XYZ Series, Volume 56

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122 Challenging Inequalities

Titu Andreescu, University of Texas at Dallas, Richardson, Texas and Marius Stanean

XYZ Series, Volume 55

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Problems from the Book Third Edition

Titu Andreescu, University of Texas at Dallas, TX, and Gabriel Dospinescu, Ecole Normale Supérieure de Lyon, France

XYZ Series, Volume 54

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Introduction to Number Theory in Mathematics Contests

Book 2

Titu Andreescu, University of Texas at Dallas, Richardson, Texas and Marian Tetiva

XYZ Series, Volume 53

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121 Number Theory Problems for Mathematics Competitions

Titu Andreescu, University of Texas at Dallas, Richardson, Texas, and Alessandro Ventullo, University of Milan, Italy

XYZ Series, Volume 52

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Friends in Partial Differential Equations

The Nina N. Uraltseva 90th Anniversary Volume

Darya Apushkinskaya, RUDN University, Moscow, Russia, Ari Laptev, Imperial College, London, UK, and Sirius University of Science and Technology, Russia, Alexander I. Nazarov, Russian Academy of Sciences, Moscow, Russia, and St. Petersburg State University, Russsia, and Henrik Shahgholian, KTH Royal Institute of Technology, Stockholm, Sweden, Editors

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Topology and AI

Topological Aspects of Algorithms for Autonomous Motion

Michael Farber, Queen Mary University of London, London, UK, and Jesús González, Center for Research and Advanced Studies of the National Polytechnic Institute, Mexico City, Mexico, Editors

EMS Industrial and Applied Mathematics, Volume 4

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Vector-Valued Orthogonal Modular Forms

Shouhei Ma, Tokyo Institute of Technology, Japan

Memoirs of the European Mathematical Society, Volume 21

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La Formule des Traces Tordue pour un Corps Global de Caractéristique

Jean-Pierre Labesse, Aix-Marseille Université, France, and Bertrand Lemaire, Aix-Marseille Université, France

Memoirs of the European Mathematical Society, Volume 20

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Almost Coherent Modules and Almost Coherent Sheaves

Bogdan Zavyalov, Princeton University and Institute for Advanced Study, NJ

Memoirs of the European Mathematical Society, Volume 19 Order Code: EMSMEM/19; 2025; 314 pp.; Softcover; ISBN: 978-3-98547-088-4; List: US$75. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

The Quantum Metric Structure of Quantum SU(2)

Jens Kaad, University of Southern Denmark, Denmark, and David Kyed, University of Southern Denmark, Denmark

Memoirs of the European Mathematical Society, Volume 18 Order Code: EMSMEM/18; 2025; 127 pp.; Softcover; ISBN: 978-3-98547-091-4; List: US$75. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Seiberg-Witten Floer Spectra for b1 > 0

Hirofumi Sasahira, Kyushu Univiversity, Japan, and Matthew Stoffregen, Michigan State University, East Lansing, MI

Memoirs of the European Mathematical Society, Volume 17 Order Code: EMSMEM/17; 2025; 164 pp.; Softcover; ISBN: 978-3-98547-087-7; List: US$75. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Stochastic Quantization of the Φ3 3 -Model

Tadahiro Oh, University of Edinburgh, UK, Mamoru Okamoto, Osaka University, Japan, and Leonardo Tolomeo, Universität Bonn, Germany

Memoirs of the European Mathematical Society, Volume 16 Order Code: EMSMEM/16; 2025; 164 pp.; Softcover; ISBN: 978-3-98547-085-3; List: US$75. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Punctured Logarithmic Maps

Dan Abramovich, Brown University, Providence, RI, Qile Chen, Boston College, Chestnut Hill, MA, Mark Gross, University of Cambridge, UK, and Bernd Siebert, University of Texas at Austin, TX

Memoirs of the European Mathematical Society, Volume 15 Order Code: EMSMEM/15; 2025; 164 pp.; Softcover; ISBN: 978-3-98547-086-0; List: US$75. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Carathéodory Sets in the Plane

Joan Josep Carmona, Universitat Autònoma de Barcelona, Spain, and Konstantin Fedorovskiy, Lomonosov Moscow State University, Russia, and Saint Petersburg State University, Russia

Memoirs of the European Mathematical Society, Volume 14

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On Efficient Algorithms for Computing Near-Best

Polynomial Approximations to High-Dimensional, Hilbert-Valued Functions from

Limited Samples

Ben Adcock, Simon Fraser University, Burnaby, BC, Canada, Simone Brugiapaglia, Concordia University, Montreal, QC, Canada, Nick Dexter, Simon Fraser University, Burnaby, BC, Canada, and Sebastian Moraga, Simon Fraser University, Burnaby, BC, Canada

Memoirs of the European Mathematical Society, Volume 13 Order Code: EMSMEM/13; 2024; 112 pp.; Softcover; ISBN: 978-3-98547-070-9; List: US$75. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Integrating the Wigner Distribution on Subsets of the Phase Space, a Survey

Nicolas Lerner, Sorbonne Université, Paris, France

Memoirs of the European Mathematical Society, Volume 12

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Extension,

Separation and Isomorphic Reverse Isoperimetry

Assaf Naor, Princeton University, NJ

Memoirs of the European Mathematical Society, Volume 11

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The Lévy Flight Foraging Hypothesis in Bounded Regions

Subordinate Brownian Motions and High-risk/Highgain Strategies

Serena Dipierro, The University of Western Australia, Australia, Giovanni Giacomin, The University of Western Australia, Australia, and Enrico Valdinoci, The University of Western Australia, Australia

Memoirs of the European Mathematical Society, Volume 10 Order Code: EMSMEM/10; 2024; 99 pp.; Softcover; ISBN: 978-3-98547-068-6; List: US$75. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Positive Energy Representations of Gauge Groups I Localization

Bas Janssens, Delft University of Technology, The Netherlands, and Karl-Hermann Neeb, Friedrich-Alexander University, Erlangen-Nuremberg, Germany

Memoirs of the European Mathematical Society, Volume 9 Order Code: EMSMEM/9; 2024; 156 pp.; Softcover; ISBN: 978-3-98547-067-9; List: US$75. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

*

The Universal

CoeffIcient

Theorem for C

-Algebras with Finite Complexity

Rufus Willett, University of Hawaii at Manoa, HI, and Guoliang Yu, Texas A & M University, College Station, TX

Memoirs of the European Mathematical Society, Volume 8 Order Code: EMSMEM/8; 2024; 108 pp.; Softcover; ISBN: 978-3-98547-066-2; List: US$75. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Non-Archimedean Geometry and Eigenvarieties

Eugen Hellmann, Universität Münster, Germany, Judith Ludwig, Universität Heidelberg, Germany, and Otmar Venjakob, Universität Heidelberg, Germany, Editors

EMS Münster Lectures in Mathematics, Volume 4

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Polar Spaces

Hendrik Van Maldeghem, Ghent University, Belgium

EMS Münster Lectures in Mathematics, Volume 3

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Tropical Fukaya Algebras

Sushmita Venugopalan, Institute of Mathematical Sciences, Chennai, India, and Chris T. Woodward, Rutgers University, New Brunswick, New Jersey

EMS Monographs in Mathematics, Volume 14

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The Regularity Theory for the Mumford–Shah Functional on the Plane

Camillo De Lellis, Institute for Advanced Study, Princeton, NJ, and Matteo Focardi, Università degli Studi di Firenze, Italy

EMS Monographs in Mathematics, Volume 13

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Invariants of Links and 3-Manifolds from Graph Configurations

Christine Lescop, CNRS and Université Grenoble Alpes, France

EMS Monographs in Mathematics, Volume 12

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Arithmetic of ��-Functions

Proceedings of an International Conference held at ICMAT, Madrid, May 2023

Dominik Bullach, University College London, UK, and Daniel Macias Castillo, Instituto de Ciencias Matématicas (ICMAT), Spain, Editors

EMS Series of Congress Reports, Volume 20

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Lecture Notes on Diophantine Analysis

Second Edition

Umberto Zannier, Scuola Normale Superiore, Pisa, Italy With an Appendix by Francesco Amoroso.

EMS Series of Lectures in Mathematics, Volume 36 Order Code: EMSSERLEC/36; 2024; 411 pp.; Softcover; ISBN: 978-3-98547-077-8; List: US$55. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Lectures on Random Matrices

Roland Speicher, Saarland University, Germany

EMS Series of Lectures in Mathematics, Volume 35

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Profinite Groups and Residual Finiteness

Gareth Wilkes, Jesus College, University of Cambridge, UK

EMS Textbooks in Mathematics, Volume 29

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Differential-Algebraic Equations

Analysis and Numerical Solution, Second Edition

Peter Kunkel, Universität Leipzig, Germany, and Volker Mehrmann, Technische Universität Berlin, Germany

EMS Textbooks in Mathematics, Volume 28

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Stochastic Areas, Horizontal Brownian Motions, and Hypoelliptic Heat Kernels

Fabrice Baudoin, Aarhus University, Denmark, Nizar Demni, New York University Abu Dhabi, United Arab Emirates, and Jing Wang, Purdue University, West Lafayette, IN

EMS Tracts in Mathematics, Volume 37

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90 Years of zbMATH

Klaus Hulek, Leibniz Universität Hannover, Germany, Octavio Paniagua Taboada, FIZ Karlsruhe, Germany, and Olaf Teschke, FIZ Karlsruhe, Germany, Editors

Order Code: EMSZBMATH; 2024; 110 pp.; Softcover; ISBN: 978-3-98547-073-0; List: US$35. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Statistical Mechanics of Mean-Field Disordered Systems

A Hamilton–Jacobi Approach

Tomas Dominguez, University of Toronto, ON, Canada, and Jean-Christophe Mourrat, École Normale Supérieure de Lyon, France

EMS Zurich Lectures in Advanced Mathematics, Volume 32

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FBI Transform in Gevrey Classes and Anosov Flows

Yannick Guedes Bonthonneau, LAGA, CNRS, Université Sorbonne Paris Nord, France, and Malo Jézéquel, CNRS, Université Brest Bretagne Occidentale, France

Astérisque, Number 456

Order Code: AST/456; 2025; 233 pp.; Softcover; ISBN: 978-2-37905-209-5; List: US$89. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Decomposition of the Diagonal, Intermediate Jacobians, and Universal Codimension-2 Cycles in Positive Characteristic

A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

Finitude of Physical Measures for Random Maps

Pablo G. Barrientos, Instituto de Matemá e Estatíca, Universidade Federal Fluminense, Niterói, Brazil, Fumihiko Nakamura, Kitami Institute of Technology, Hokkaido, Japan, Yushi Nakano, Hokkaido University, Japan, and Hisayoshi Tokoyawa, Kitami Institute of Technology, Hokkaido, Japan

Astérisque, Number 459

Order Code: AST/459; 2025; 103 pp.; Softcover; ISBN: 978-2-37905-214-9; List: US$69. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Regularized Unbalanced Optimal Transport as Entropy Minimization with Respect to Branching Brownian Motion

Aymeric Baradat, Université Claude Bernard Lyon 1, Camille Jordan Institute - ICJ, Villeurbanne, France, and Hugo Lavenant, Bocconi University, Milan, Italy

Astérisque, Number 458

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Structure of Conjugacy Classes in Coxeter Groups

Timothée Marquis, Catholic University of Louvain, IRMPMATH, Louvain-la-Neuve, Belgium

Astérisque, Number 457

Order Code: AST/457; 2025; 135 pp.; Softcover; ISBN: 978-2-37905-201-9; List: US$69. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

J. D. Achter, Colorado State University, Fort Collins, CO, S. Casalaina-Martin, University of Colorado, Boulder, CO, and C. Vial, Universität Bielefeld, Germany

Astérisque, Number 455

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Séminaire Bourbaki

Volume 2023/2024, Exposés 1211–1226

Astérisque, Number 454

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The Stabilization of the Frobenius-Hecke Traces on the Intersection Cohomology of Orthogonal Shimura Varieties

Yihang Zhu, Yau Mathematical Sciences Center, Tsinghua University, Beijing, China

Astérisque, Number 453

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Evolution of Networks with Multiple Junctions

Carlo Mantegazza, Università di Napoli Federico II, Italy, Matteo Novaga, Università di Pisa, Italy, Alessandra Pluda, Università di Pisa, Italy, and Felix Schulze, University of Warwick, Coventry, United Kingdom

Astérisque, Number 452

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Dynamical Complexity and Controlled Operator �� -Theory

Erik Guentner, University of Hawaii at Manoa, Honolulu, HI, Rufus Willett, University of Hawaii at Manoa, Honolulu, HI, and Guoliang Yu, Texas A&M University, College Station, TX

Astérisque, Number 451

Order Code: AST/451; 2024; 102 pp.; Softcover; ISBN: 978-2-37905-202-6; List: US$63. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Bar Codes of Persistent Cohomology and Arrhenius Law for �� -Forms

D. Le Peutrec, Laboratoire de mathématiques Jean Leray, Nantes Université, France, F. Nier, Université Paris XIII, LAGA, Villetaneuse, France, and C. Viterbo, Laboratoire de mathématiques d’ Orsay, Université Paris-Saclay, France

Astérisque, Number 450

Order Code: AST/450; 2024; 482 pp.; Softcover; ISBN: 978-2-85629-993-7; List: US$81. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Configuration Spaces of Manifolds with Boundary

Ricardo Campos, Institut de Mathématiques de Toulouse, Universiteé de Toulouse, CNRS, France, Najib Idrissi, Université de Paris, France, Pascal Lambrechts, Université catholique de Louvain, Louvain-la- Neuve, Belgium, and Thomas Willwacher, ETH Zúrich, Ramistrasse, Switzerland

Astérisque, Number 449

Order Code:

AST/449; 2024; 482 pp.; Softcover; ISBN: 978-2-85629-990-6; List: US$63. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Les Suites Spectrales de Hodge-Tate

Ahmed Abbes, Laboratoire Alexander Grothendieck, CNRS, IHES, Université Paris-Saclay, Bures-sur-Yevette, France, and Michel Gros, Université de Rennes, CNRS, France

Astérisque, Number 448

Order Code: AST/448; 2024; 482 pp.; Softcover; ISBN: 978-2-85629-988-3; List: US$116. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Massless Phases for the Villain Model in d ≥ 3

Paul Dario, Université Paris-Est Créteil, France, and Wei Wu, NYU Shanghai, China

Astérisque, Number 447

Order Code: AST/447; 2024; 221 pp.; Softcover; ISBN: 978-2-85629-985-2; List: US$81. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Séminaire Bourbaki

Volume 2022/2023, Exposés 1197–1210

Astérisque, Number 446

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Groups Acting on Fractals, Hyperbolicity and Self-Similarity

François Dahmani, Institut Fournier, Université Grenoble Alpes, Grenoble, France, Anna Erschler, Sorbonne Université, Paris, France, Camille Horbez, Laboratoire de Mathématiques d’Orsay, Université Paris-Saclay, France, and Daniel Wise, McGill University, Montreal, Quebec, Canada, Editors

Panoramas et Synthèses, Number 63

Order Code: PASY/63; 2025; 192 pp.; Softcover; ISBN: 978-2-37905-215-6; List: US$89. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Diophantine Problems: Determinism, Randomness and Applications

Dijana Kreso, Graz University of Technology, Institute of Analysis and Number Theory, Austria, Joël Rivat, AixMarseille University, Institute of Mathematics of Marseille (I2M), France, and Robert F. Tichy, Graz University of Technology, Institute of Analysis and Number Theory, Austria, Editors

Panoramas et Synthèses, Number 62

Order Code: PASY/62; 2024; 216 pp.; Softcover; ISBN: 978-2-37905-205-7; List: US$81. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Mathematical Methods and Modeling for Mixtures of Fluids and Interface Evolution

Frédéric Charve, Université de Paris XII (Paris-Val-deMarne), Créteil, France, Raphaël Danchin, Université Paris Est-Créteil, France, and Sylvie Monniaux, Center de Saint Jerome, Marseille, France, Editors

Panoramas et Synthèses, Number 61

Order Code: PASY/61; 2024; 106 pp.; Softcover; ISBN: 978-2-85629-987-6; List: US$63. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Geometric Methods in Group Theory

Papers Dedicated to Ruth Charney

Rachel Skipper, University of Utah, Salt Lake City, UT, and Indira Chatterji, Laboratoire Dieudonné, Université Cote d’Azur, Nice, France, Editors

Séminaires et Congrès, Number 34

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Selecta Yves Meyer

Volume 1

Aline Bonami, Institut Denis Poisson, Université d’Orléans, Orléans, France, Stéphane Jaffard, Université Paris-Est Créteil, France, and Stéphane Seuret, Université Paris-Est Créteil, France, Editors

Documents Mathématiques, Number 22

Order Code: SMFDM/22; 2025; 353 pp.; Softcover; ISBN: 978-2-85629-992-0; List: US$119. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Résidus et Dualité: Prénotes pour un “Séminaire Hartshorne”

Robin Hartshorne, Editor

Alexandre Grothendieck

Documents Mathématiques, Number 21

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�� -Integral Quadratic Forms and Homogeneous Dynamics

Irving Calderëron, Facultad de Ciencias, Universidad Nacional Autonoma de Mexico, Mexico

Mémoires de la Société Mathématique de France, Number 186

Order Code: SMFMEM/186; 2025; 118 pp.; Softcover; ISBN: 978-2-37905-210-1; List: US$69. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Iwasawa Theory of Twists of Elliptic Modular Forms Over Imaginary Quadratic Fields at Inert Primes

Kazim Büyükboduk, University College Dublin, Ireland, and Antonio Lei, University of Ottawa, Ontario, Canada

Mémoires de la Société Mathématique de France, Number 185

Order Code: SMFMEM/185; 2025; 119 pp.; Softcover; ISBN: 978-2-37905-208-8; List: US$69. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Global Nonlinear Stability of Minkowski Space for Spacelike-Characteristic Initial Data

O. Graf, Université Grenoble Alpes, France

Mémoires de la Société Mathématique de France, Number 184 Order Code: SMFMEM/184; 2025; 212 pp.; Softcover; ISBN: 978-2-37905-207-1; List: US$108. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

On the �� -Adic Uniformization of Unitary Shimura Curves

S. Kudla, University of Toronto, Canada, M. Rapoport, Mathematisches Institut der Universität Bonn, Germany, and University of Maryland, College Park, MD, and T. Zink, Fakultät für Mathematik, Universität Bielefeld, Germany

Mémoires de la Société Mathématique de France, Number 183 Order Code: SMFMEM/183; 2024; 212 pp.; Softcover; ISBN: 978-2-37905-204-0; List: US$81. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

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in Time Strichartz Inequalities on Asymptotically Flat Manifolds with Temperate Trapping

J.-M. Bouclet, Université Paul Sabatier, Toulouse, France, and H. Mizutani, Osaka University, Toyonaka, Japan

Mémoires de la Société Mathématique de France, Number 182

Order Code: SMFMEM/182; 2024; 107 pp.; Softcover; ISBN: 978-2-85629-996-8; List: US$63. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Complexes de Modules Équivariants sur L’Algèbre de Steenrod Associés à Un (ℤ/2)n-CW-Complexe Fini

D. Bourguiba, Université Tunis El Manar, Tunisie, J. Lannes, Centre de Mathématiques Laurent-Schwartz (CMLS), Palaiseau, France, L. Schwartz, LAGA, CNRS, Institut Galileé, Université Sorbonne Paris Nord, Villetaneuse, France, and S. Zarati, Université Tunis El Manar, Tunisie

Mémoires de la Société Mathématique de France, Number 181

Order Code: SMFMEM/181; 2024; 139 pp.; Softcover; ISBN: 978-2-85629-991-3; List: US$63. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

Conformally Invariant Differential Operators on Heisenberg Groups and Minimal Representations

J. Frahm, Aarhus University, Denmark

Mémoires de la Société Mathématique de France, Number 180

Order Code: SMFMEM/180; 2024; 148 pp.; Softcover; ISBN: 978-2-85629-986-9; List: US$71. For member pricing, discounts, and alternate formats, visit the AMS Bookstore.

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