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Founded in 1888 to further mathematical research and scholarship, the American Mathematical Society fulfils its mission through programmes and services that promote mathematical research and its uses, strengthen mathematical education, and foster awareness and appreciation of mathematics and its connections to other disciplines and to everyday life.
PLAYING WITH SHAPE AND FORM
A Glimpse of Topology AM
Richard Evan Schwartz
Topology is the field of mathematics that studies those properties of a shape which persist when the shape gently evolves and changes its specific form. This book gives a playful and intuitive introduction to topology, favouring simple and crisp illustrations over long explanations and formal definitions. The material includes some of the classic results one would see in undergraduate courses on topology and graph theory, but presents these results in a way that readers without any knowledge of mathematics will be able to understand.
Jan 2025 154pp
9781470479596 Paperback £21.99 / US$25.00
MAX DEHN
Polyphonic Portrait
Edited by Jemma Lorenat et al
History of Mathematics, Vol. 46
Max Dehn (1878-1952) is known to mathematicians today for his seminal contributions to geometry and topology - Dehn surgery, Dehn twists, the Dehn invariant, etc. He is also remembered as the first mathematician to solve one of Hilbert’s famous problems. However, Dehn’s influence as a scholar and teacher extended far beyond his mathematics. This book is a collection of essays written by mathematicians and historians of art and science. It treats Dehn’s mathematics and its influence, his journeys, and his remarkable engagement in history and the arts. A great deal of the information found in this book has never before been published.
Oct 2024 290pp
9781470461065 Paperback £111.00 / US$125.00
INTRODUCTION TO LIE ALGEBRAS
Finite and Infinite Dimension
J. I. Hall
Graduate Studies in Mathematics, Vol. 248
Being both a beautiful theory and a valuable tool, Lie algebras form a very important area of mathematics. This modern introduction targets entry-level graduate students. It might also be of interest to those wanting to refresh their knowledge of the area and be introduced to newer material. Infinite-dimensional algebras are treated extensively along with the finitedimensional ones. After some motivation, the text gives a detailed and concise treatment of the Killing-Cartan classification of finite-dimensional semisimple algebras over algebraically closed fields of characteristic 0. Important constructions such as Chevalley bases follow. The second half of the book serves as a broad introduction to algebras of arbitrary dimension, including Kac-Moody (KM), loop, and affine KM algebras.
Feb 2025 514pp
9781470479152
AN INVITATION TO FRACTAL GEOMETRY
Fractal Dimensions, Self-Similarity, and Fractal Curves
Michel L. Lapidus & Goran RadunoviĆ
Graduate Studies in Mathematics, Vol. 247
A comprehensive exploration of fractal dimensions, self-similarity, and fractal curves. Targeting undergraduate and graduate students, postdocs, mathematicians, and scientists across disciplines, this text requires minimal prerequisites beyond a solid foundation in undergraduate mathematics. 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.
Jan 2025 611pp
9781470478957 Paperback £79.00 / US$89.00
9781470476236 Hardback £120.00 / US$135.00
LECTURES ON DIFFERENTIAL GEOMETRY
Bennett Chow & Yutze Chow
Graduate Studies in Mathematics, Vol. 245
Differential geometry is a subject related to many fields in mathematics and the sciences. 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, and a graduate special topics course in geometric analysis, and it contains more than enough content to serve as a good textbook for a course in any of these three topics. The reader will learn about the classical theory of submanifolds, smooth manifolds, Riemannian comparison geometry, bundles, connections, and curvature, the Chern–Gauss–Bonnet formula, harmonic functions, eigenfunctions, and eigenvalues on Riemannian manifolds, minimal surfaces, the curve shortening flow, and the Ricci flow on surfaces.
Nov 2024 750pp
9781470478049 Paperback £79.00 / US$89.00
9781470477677 Hardback £120.00 / US$135.00
THE PRACTICE OF ALGEBRAIC CURVES
A Second Course in Algebraic Geometry
David Eisenbud & Joe Harris
Graduate Studies in Mathematics, Vol. 250
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. The book begins with two chapters covering basic ideas, including maps to projective space, invertible sheaves, and the Riemann-Roch theorem. Subsequent chapters alternate between a detailed study of curves up to genus six and more advanced topics such as Jacobians, Hilbert schemes, moduli spaces of curves, Severi varieties, dualizing sheaves, and linkage of curves in 3-space.
Feb 2025 413pp
9781470479435 Paperback £79.00 / US$89.00
9781470476373 Hardback £120.00 / US$135.00
A Mathematical Perspective
J. M. Landsberg
Graduate Studies in Mathematics, Vol. 243
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. Prerequisites are elementary undergraduate probability and undergraduate algebra, both linear and abstract. No prior knowledge of quantum mechanics or information theory is required.
Sep 2024 204pp
9781470477776 Paperback £79.00 / US$89.00
LINEAR ALGEBRA
A Problem-Centered Approach
RÓbert Freud
Pure and Applied Undergraduate Texts, Vol. 66
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. Determinants, matrices, and systems of linear equations begin the book. This unique ordering offers insights from determinants early on, while also admitting re-ordering if desired. Chapters on vector spaces, linear maps, and eigenvalues and eigenvectors follow. Bilinear functions and Euclidean spaces build on the foundations laid in the first half of the book to round out the core material. Applications in combinatorics include Hilbert’s third problem, Oddtown and Eventown problems, and Sidon sets, a favourite of Paul Erdős. Coding theory applications include error-correction, linear, Hamming, and BCH codes.
Dec 2024 305pp
9781470477363 Paperback £79.00 / US$89.00
STURM-LIOUVILLE OPERATORS, THEIR SPECTRAL THEORY, AND SOME APPLICATIONS
Fritz Gesztesy, Roger Nichols & Maxim Zinchenko Colloquium Publications, Vol. 67
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. To illustrate the theory, the book develops an array of examples from Floquet theory to short-range scattering theory, higherorder KdV trace relations, elliptic and algebro-geometric finite gap potentials, reflectionless potentials and the Sodin-Yuditskii class, as well as a detailed collection of singular examples, such as the Bessel, generalized Bessel, and Jacobi operators.
Oct 2024 927pp
9781470476663 Hardback £120.00 / US$135.00
LATTICE MODELS AND CONFORMAL FIELD THEORY
Franck Gabriel, Clément Hongler & Francesco Spadaro Courant Lecture Notes, Vol. 32
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 a well-posed road from simple lattice models to CFTs.
Structured in two parts, the book begins by exploring several two-dimensional lattice models, their phase transitions, and their conjectural connection with CFT. Through these lattice models and their local fields, the fundamental ideas and results of two-dimensional CFTs emerge, with a special emphasis on the Unitary Minimal Models of CFT. Delving into the delicate ideas that lead to the classification of these CFTs, the authors discuss the assumptions on the lattice models whose scaling limits are described by CFTs. This produces a probabilistic rather than an axiomatic or algebraic definition of CFTs.
Sep 2024 205pp
9781470456184 Paperback £49.00 / US$55.00
A co-publication of the AMS and Courant Institute of Mathematical Sciences at New York University
ALGEBRA AND ALGEBRAIC GEOMETRY
BASIC MODERN THEORY OF LINEAR COMPLEX ANALYTIC q-DIFFERENCE EQUATIONS
Jacques Sauloy
Mathematical Surveys and Monographs, Vol. 287
Focusing on techniques inspired by differential equations, this book explores q-difference equations, following the approach of the Ramis school, mixing algebraic and analytic methods. Beginning with a gentle historical introduction, the text provides a detailed algebraic study of scalar equations, with final chapters discussing Fuschian and irregular equations and systems. Nine appendices are included for further learning.
Dec 2024 680pp
9781470478407 Paperback
£120.00 / US$135.00
BIMONOIDAL CATEGORIES, En-MONOIDAL CATEGORIES, AND ALGEBRAIC K-THEORY
Donald Yau & Niles Johnson
Offers a comprehensive exploration of bimonoidal categories, their applications to quantum groups, topological quantum computation, and algebraic K-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.
Volume I: Symmetric Bimonoidal Categories and Monoidal Bicategories
Mathematical Surveys and Monographs, Vol. 283
Dec 2024 520pp
9781470478094 Paperback £120.00 / US$135.00
Volume II: Braided Bimonoidal Categories with Applications
Mathematical Surveys and Monographs, Vol. 284
Nov 2024 404pp
9781470478100 Paperback £120.00 / US$135.00
Volume III: From Categories to Structured Ring Spectra
Mathematical Surveys and Monographs, Vol. 285
Nov 2024 598pp
9781470478117 Paperback £120.00 / US$135.00
Volumes I, II, and III
Mathematical Surveys and Monographs
Nov 2024 1,516pp
9781470479411 Set £288.00 / US$325.00
CATEGORICAL, COMBINATORIAL AND GEOMETRIC REPRESENTATION THEORY AND RELATED TOPICS
Edited by Pramod N. Achar et al
Proceedings of Symposia in Pure Mathematics, Vol. 108
The third Proceedings of the Southeastern Lie Theory Workshop Series covering years 2015-21. Some articles describe recent developments while others include new results in categorical, combinatorial, and geometric representation theory of algebraic groups, Lie (super) algebras, and quantum groups.
Aug 2024 517pp
9781470471170 Paperback £123.00 / US$135.00
INTRODUCTION TO LIE ALGEBRAS
Finite and Infinite Dimension
J. I. Hall
See page 2 for details of this title.
LINEAR ALGEBRA
A Problem-Centered Approach
Robert Freud
See page 4 for details of this title.
THE PRACTICE OF ALGEBRAIC CURVES
A Second Course in Algebraic Geometry
David Eisenbud & Joe Harris
See page 3 for details of this title.
REAL ALGEBRAIC GEOMETRY AM AND OPTIMIZATION
Thorsten Theobald
Graduate Studies in Mathematics, Vol. 241
A comprehensive and user-friendly exploration of the tremendous recent developments that reveal the connections between real algebraic geometry and optimization, two subjects that were usually taught separately until the beginning of the 21st century. Each chapter contains a collection of exercises, notes on references, and further reading.
Jun 2024 271pp
9781470476366 Paperback £79.00 / US$89.00
9781470474317 Hardback £120.00 / US$135.00
BESTSELLERS
ALGEBRA: CHAPTER 0
Paolo Aluffi
Graduate Studies in Mathematics, Vol. 104
Offers an introduction to the main topics of algebra. This book also offers introduction of categories used as a unifying theme in the presentation of the main topics.
2009 713pp
9781470465711 Paperback £79.00 / US$89.00
ALGEBRAIC CURVES AND RIEMANN SURFACES
Rick Miranda
Graduate Studies in Mathematics, Vol. 5
Takes the approach that algebraic curves are best encountered for the first time over the complex numbers, where the reader’s classical intuition about surfaces, integration, and other concepts can be brought into play. This book covers Riemann surfaces, with complex charts and meromorphic functions taking center stage.
1995 390pp
9780821802687 Hardback £88.00 / US$99.00
THE CLASSIFICATION OF THE FINITE SIMPLE GROUPS, NUMBER 10
Part V, Chapters 9-17: Theorem C6 and Theorem C4*, Case A
Inna Capdeboscq et al
Mathematical Surveys and Monographs, Vol. 40.10
The tenth in a series of volumes whose aim is to provide a complete proof of the classification theorem for the finite simple groups based on a fairly short and clearly enumerated set of background results. This book completes our identification of the simple groups of bicharacteristic type begun in the ninth volume of the series.
2023 570pp
9781470475536 Paperback £115.00 / US$129.00
LINEAR ALGEBRA: GATEWAY TO MATHEMATICS
Second Edition
Robert Messer
AMS/MAA Textbooks, Vol. 66
Uses linear algebra as a vehicle to introduce students to the inner workings of mathematics. The structures and techniques of mathematics in turn provide an accessible framework to illustrate the powerful and beautiful results about vector spaces and linear transformations.
2021 434pp
9781470462956 Paperback £79.00 / US$89.00
MAA Press
VISUAL GROUP THEORY
Nathan Carter
Classroom Resource Materials, Vol. 32
The more than 300 illustrations in Visual Group Theory bring groups, subgroups, homomorphisms, products, and quotients into clear view. Every topic and theorem is accompanied with a visual demonstration of its meaning and import, from the basics of groups and subgroups to advanced structural concepts.
2009 295pp
9781470464332 Paperback £70.00 / US$79.00
MAA Press
DEGREE THEORY AND SYMMETRIC EQUATIONS
ASSISTED BY GAP SYSTEM
With a Special Focus on Systems with Hysteresis
Zalman Balanov et al
Mathematical Surveys and Monographs, Vol. 286
Provides a complete theoretical and practical manual for studying a large class of dynamical problems with symmetries using degree theory methods. This book is intended for readers with a basic knowledge of analysis and algebra, including researchers in pure and applied mathematical analysis, graduate students, and scientists interested in areas involving mathematical modeling of symmetric phenomena.
Feb 2025 660pp
9781470477134 Paperback £120.00 / US$135.00
DISCRETE-TIME DYNAMICS OF STRUCTURED POPULATIONS AND HOMOGENEOUS ORDER-PRESERVING OPERATORS AM
Horst R. Thieme
Mathematical Surveys and Monographs, Vol. 281
Combines the theory of discrete-time dynamical systems with applications to population dynamics with an emphasis on spatial structure. The inclusion of two sexes that must mate to produce offspring leads to the study of operators that are (positively) homogeneous (of degree one) and order-preserving rather than linear and positive.
Jun 2024 335pp
9781470474652 Paperback £120.00 / US$135.00
AN INTRODUCTION TO REAL ANALYSIS
Yitzhak Katznelson & Yonatan Katznelson
Pure and Applied Undergraduate Texts, Vol. 65
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.
Jul 2024 264pp
9781470474218 Paperback £79.00 / US$89.00
AN INVITATION TO FRACTAL GEOMETRY
Fractal Dimensions, Self-Similarity, and Fractal Curves
Michel L. Lapidus & Goran Radunovic
See page 2 for details of this title.
NIGEL KALTON’S LECTURES IN NONLINEAR FUNCTIONAL ANALYSIS
Adam Bowers
University Lecture Series, Vol. 79
Considers the nonlinear geometry of Banach spaces, and the various significant problems in the field. The author explores topics that Nigel Kalton felt were significant for those first dipping a toe into the subject of nonlinear functional analysis and presents these topics in an accessible and concise manner, considering both well-known topics and more recent discoveries.
Nov 2024 268pp
9781470473471 Paperback £62.00 / US$69.00
ONE-DIMENSIONAL ERGODIC
SCHRODINGER
OPERATORS
AM II. Specific Classes
David Damanik & Jake Fillman
Graduate Studies in Mathematics, Vol. 249
An exploration of the theory of one-dimensional ergodic operators. Addressing specific classes of operators, including the important examples of random and almost-periodic operators, this text serves as a self-contained introduction to the field for junior researchers and beginning graduate students, as well as a reference text for people already working in this area.
Feb 2025 627pp
9781470479244 Paperback £79.00 / US$89.00
9781470465032 Hardback £120.00 / US$135.00
TRANSLATION SURFACES
Jayadev S. Athreya & Howard Masur
Graduate Studies in Mathematics, Vol. 242
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. Proofs that go beyond the book’s introductory nature are omitted.
Jul 2024 179pp
9781470476779 Paperback £79.00 / US$89.00
9781470476557 Hardback £120.00 / US$135.00
BESTSELLERS
ANALYSIS
Second Edition
Elliott H. Lieb & Michael Loss
Graduate Studies in Mathematics, Vol. 14
Presents the concepts and tools to solve problems of analysis, and shows how to apply these concepts to research in a variety of areas. This work covers the min-max principle, semi-classical approximation, coherent states and Lieb-Thirring inequalities.
2001 348pp
9780821827833 Hardback £88.00 / US$99.00
COMPLEX ANALYSIS
An Introduction to the Theory of Analytic Functions of One Complex Variable, Third Edition
Lars Ahlfors
AMS Chelsea Publishing, Vol. 385
Offers a rigorous introduction on an elementary level to the theory of analytic functions of one complex variable. The book covers standard topics in an introductory complex analysis course. The presentation is slanted toward the geometric approach to complex analysis.
2022 331pp
9781470467678 Paperback £54.00 / US$60.00
AMS Chelsea Publishing
GEOMETRY OF BANACH SPACES AND RELATED FIELDS
Edited by Gilles Godefroy, Mohammad Sal Moslehian & Juan Benigno Seoane-SepÚlveda
Proceedings of Symposia in Pure Mathematics, Vol. 106
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.
2024 346pp
9781470475703 Paperback £123.00 / US$135.00
AN INTRODUCTION TO MEASURE THEORY
Terence Tao
Graduate Studies in Mathematics, Vol. 126
Introduces the fundamentals of measure theory and integration theory. This book focuses first on the concrete setting of Lebesgue measure and the Lebesgue integral, before moving on to abstract measure and integration theory, including the standard convergence theorems, Fubini’s theorem, and the Caratheodory extension theorem. Classical differentiation theorems are also covered, as are connections with probability theory.
2011 206pp
9781470466404 Paperback £79.00 / US$89.00
SELF-SIMILAR AND SELF-AFFINE SETS AND MEASURES
Balázs Bárány, Károly Simon & Boris Solomyak
Mathematical Surveys and Monographs, Vol. 276
While there is no precise definition of a fractal, it is usually understood as a set whose smaller parts when magnified resemble the whole. Suitable for a wide audience of mathematicians, this book is devoted to self-similar and selfaffine sets, for which this resemblance is precise and given by a contracting similitude or affine transformation.
2023 455pp
9781470470463 Paperback £115.00 / US$129.00
APPLIED MATHEMATICS
QUANTUM COMPUTATION AND QUANTUM INFORMATION
A Mathematical Perspective
J. M. Landsberg
See page 4 for details of this title.
BESTSELLERS
3D
PRINTING IN MATHEMATICS
Edited by Maria Trnkova & Andrew Yarmola
Proceedings of Symposia in Applied Mathematics, Vol. 79
Focuses on the process and applications of 3D printing for mathematical education, research, and visualization, and discusses the challenges and open mathematical problems that arise in the design and algorithmic aspects of 3D printing.
2024 226pp
9781470469160 Paperback £115.00 / US$129.00
BIOLOGY IN TIME AND SPACE
A Partial Differential Equation Modeling Approach
James P. Keener
Pure and Applied Undergraduate Texts, Vol. 50
How do biological objects communicate, make structures, make measurements and decisions, search for food, i.e., do all the things necessary for survival? Designed for an advanced undergraduate audience, this book uses mathematics to begin to tell that story.
2021 314pp
9781470454289 Paperback £88.00 / US$99.00
AN INTRODUCTORY COURSE ON MATHEMATICAL GAME THEORY AND APPLICATIONS
Second Edition
Julio González-Diaz, Ignacio Garcia-Jurado & M. Gloria Fiestras-Janeiro
Graduate Studies in Mathematics, Vol. 238
Presents an introductory and up-to-date course on game theory addressed to mathematicians and economists, and to other scientists having a basic mathematical background. The book is self-contained, providing a formal description of the classic game-theoretic concepts together with rigorous proofs of the main results in the field.
2023 415pp
9781470475635 Paperback £79.00 / US$89.00
MATRIX MODELS FOR POPULATION, DISEASE, AND EVOLUTIONARY DYNAMICS
J. M. Cushing
Student Mathematical Library, Vol. 106
An introduction to the use of matrix theory and linear algebra in modeling the dynamics of biological populations. Learn the basics of modeling methodology (i.e., how to set up a matrix model from biological underpinnings) and the fundamentals of the analysis of discrete time dynamical systems (equilibria, stability, bifurcations, etc.).
2024 305pp
9781470473341 Paperback £53.00 / US$59.00
BESTSELLERS
φ,��,e & i
David Perkins
Spectrum, Vol. 96
Certain constants occupy precise balancing points in the cosmos of number. This book introduces and connects four of these constants (φ,��,e & i). The authors discuss their properties, as a group, at a level appropriate for an audience armed only with the tools of elementary calculus.
2020 176pp
9781470447991 Paperback £58.00 / US$65.00
MAA Press
APPROXIMATELY CALCULUS
Shahriar Shahriari
Calculus is a powerful tool because it allows us to approximate complicated functions with simpler ones. Indeed, replacing a function locally with a linear - or higher order - approximation is at the heart of calculus. Emphasizing the role of approximations in calculus, this book addresses topics such as derivatives, integrals, and sequences.
2006 292pp
9780821837504 Hardback £67.00 / US$75.00
CALCULUS IN 3D
Geometry, Vectors, and Multivariate Calculus
Zbigniew Nitecki
AMS/MAA Textbooks, Vol. 40
An accessible, well-written textbook for an honors course in multivariable calculus for mathematically strong first- or second-year university students. The treatment carefully balances theoretical rigour, the development of student facility in the procedures and algorithms, and inculcating intuition into underlying geometric principles.
2018 405pp
9781470443603 Hardback £70.00 / US$79.00
MAA Press
GLOBAL CALCULUS
Sundararaman Ramanan
Graduate Studies in Mathematics, Vol. 65
Suitable for a first year graduate course on global analysis, this title proves the basics of Fourier transforms, Sobolev theory and interior regularity at the same time as symbol calculus, culminating in beautiful results in global analysis, real and complex.
2004 316pp
9780821837023 Hardback £88.00 / US$99.00
THE SIX PILLARS OF CALCULUS
Lorenzo Sadun
Offers a conceptual and practical introduction to differential and integral calculus for use in a one- or two-semester course. By boiling calculus down to six common-sense ideas, the text invites students to make calculus an integral part of how they view the world. Each pillar is introduced by tackling and solving a challenging, realistic problem.
Biology Edition
Pure and Applied
Undergraduate Texts, Vol. 60
2023 383pp
9781470469962 Paperback
£88.00 / US$99.00
Business Edition
Pure and Applied
Undergraduate Texts, Vol. 56
2023 381pp
9781470469955 Paperback
£88.00 / US$99.00
DIFFERENTIAL EQUATIONS
BIFURCATION
THEORY
Ale Jan Homburg & JÜrgen Knobloch
Graduate Studies in Mathematics, Vol. 246
Provides a thorough overview of bifurcation theory. Combining a solid theoretical basis with a detailed description of classical bifurcations, the textbook is organised into chapters on local, nonlocal, and global bifurcations, with appendices provided to aid learning.
Jan 2025 646pp
9781470478803 Paperback £79.00 / US$89.00
9781470477943 Hardback £120.00 / US$135.00
STURM-LIOUVILLE OPERATORS, THEIR SPECTRAL THEORY, AND SOME APPLICATIONS
Fritz Gesztesy, Roger Nichols & Maxim Zinchenko
Colloquium Publications, Vol. 67
See page 5 for details of this title.
BESTSELLERS
ANALYSIS OF MONGE-AMPÈRE EQUATIONS
Nam Q. Le
Graduate Studies in Mathematics, Vol. 240
Presents a systematic analysis of the Monge-Ampère equation, the linearized Monge-Ampère equation, and their applications, with emphasis on interior and boundary theories. The book gives an extensive survey of fundamental results, essential techniques, and intriguing phenomena in the solvability, geometry, and regularity of Monge-Ampère equations.
2024 589pp
9781470474201 Hardback £120.00 / US$135.00
ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS
Second Edition
Qing Han & Fanghua Lin
Courant Lecture Notes, Vol. 1
Based on PDE courses given by the authors at the Courant Institute and at the University of Notre Dame, Indiana. Presented are basic methods for obtaining various a priori estimates for second-order equations of elliptic type with particular emphasis on maximal principles, Harnack inequalities, and their applications. The equations considered in the book are linear; however, the presented methods also apply to nonlinear problems.
2011 147pp
9780821853139 Paperback £31.00 / US$35.00
A co-publication of the AMS and Courant Institute of Mathematical Sciences at New York University
GLIMPSES OF SOLITON THEORY
The Algebra and Geometry of Nonlinear PDEs, Second Edition
Alex Kasman
Student Mathematical Library, Vol. 100
Reveals the hidden connections discovered over the last half-century that explain the existence of these mysterious mathematical objects. The book aims to convince the reader that the underlying algebro-geometric structure of soliton equations provides an elegant explanation of something seemingly miraculous.
2023 347pp
9781470472627 Paperback £53.00 / US$59.00
AN INTRODUCTION TO DYNAMICAL SYSTEMS
Continuous and Discrete, Second Edition
R. Clark Robinson
Pure and Applied Undergraduate Texts, Vol. 19
Provides a mathematical treatment of the introduction to qualitative differential equations and discrete dynamical systems. The treatment includes theoretical proofs, methods of calculation, and applications. The two parts of the book can be covered independently in one semester each or combined together into a year long course.
2016 733pp
9780821891353 Hardback £88.00 / US$99.00
THE MATHEMATICAL ANALYSIS OF THE INCOMPRESSIBLE EULER
AND NAVIER-STOKES EQUATIONS
An Introduction
Jacob Bedrossian & Vlad Vicol
Graduate Studies in Mathematics, Vol. 225
A concise introduction to the fundamental results in the well-posedness theory of these PDEs, leaving aside some of the technical challenges presented by bounded domains or by intricate functional spaces.
2022 218pp
9781470471781 Paperback £76.00 / US$85.00
KEY BESTSELLER
PARTIAL DIFFERENTIAL EQUATIONS
Second Edition
Lawrence C. Evans
Graduate Studies in Mathematics, Vol.19
The definitive text on partial differential equations (PDEs). It offers a comprehensive survey of modern techniques in the theoretical study of PDEs with particular emphasis on nonlinear equations. Its wide scope and clear exposition make it a great text for a graduate course in PDEs. This revised edition incorporates numerous changes, including a new chapter on nonlinear wave equations, more than 80 new exercises, several new sections, and a significantly expanded bibliography.
2010 662pp
9781470469429 Paperback £88.00 / US$99.00
DISCRETE MATHEMATICS & COMBINATIONS
EXPLORING DISCRETE GEOMETRY
Thomas Q. Sibley
Anneli Lax New Mathematical Library, Vol. 56
A mathematical exposition, taking the reader from an introduction to discrete geometry all the way to its frontiers. Aiding students to build intuition and understanding, illustrating the theme of this book: “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.
Aug 2024 156pp
9781470478070 Paperback £62.00 / US$69.00
MAA Press
HANDS-ON COMBINATORICS
Building Colorful Trains to Manifest Pascal’s Triangle, Fibonacci Numbers, and Much More
Brian Hopkins
Classroom Resource Materials, Vol. 74
Considers an active-learning approach to combinatorial reasoning and proof through a thoughtful sequence of low threshold, high ceiling activities. The main focus of the book is the study of integer compositions with forays into graph theory and recreational mathematics.
Mar 2025 196pp
9781470477578 Paperback £53.00 / US$59.00
MAA Press
OPEN PROBLEMS IN ALGEBRAIC COMBINATORICS
Edited by Christine Berkesch et al
Proceedings of Symposia in Pure Mathematics, Vol. 110
Explores algebraic combinatorics as the area of combinatorics concerned with exact, as opposed to approximate, results and which puts emphasis on interaction with other areas of mathematics, such as algebra, topology, geometry, and physics. A text to be used to facilitate the exchange of ideas in algebraic combinatorics.
Oct 2024 371pp
9781470473334 Paperback £123.00 / US$135.00
COMBINATORIAL PROBLEMS AND EXERCISES
Second Edition
László Lovász
AMS Chelsea Publishing, Vol. 361
The main purpose of this book is to provide help in learning existing techniques in combinatorics. The most effective way of learning such techniques is to solve exercises and problems. This book presents all the material in the form of problems and series of problems (apart from some general comments at the beginning of each chapter).
2007 639pp
9780821842621 Hardback £62.00 / US$69.00
A DISCRETE TRANSITION TO ADVANCED MATHEMATICS
Second Edition
Bettina Richmond & Thomas Richmond
Pure and Applied Undergraduate Texts, Vol. 63
Introduces techniques for writing proofs in the context of discrete mathematics. By illuminating the concepts behind techniques, the authors create opportunities for readers to sharpen critical thinking skills and develop mathematical maturity.
2023 503pp
9781470472047 Paperback £79.00 / US$89.00
EXPERIMENTAL MATHEMATICS
V.I. Arnold AM
MSRI Mathematical Circles Library, Vol. 16
Presents several new directions of mathematical research. All of these directions are based on numerical experiments conducted by the author, which led to new hypotheses that currently remain open. The hypotheses range from geometry and topology to combinatorics to algebra and number theory.
2015 158pp
9780821894163 Paperback £49.00 / US$55.00
A co-publication of the AMS and Mathematical Sciences Research Institute
GAME THEORY
A Playful Introduction AM
Matt DeVos & Deborah A. Kent
Student Mathematical Library, Vol. 80
Offers a gentle introduction to the mathematics of both sides of game theory: combinatorial and classical. The combination allows for a dynamic and rich tour of the subject united by a common theme of strategic reasoning. With ample material and limited dependencies between the chapters, the book is adaptable to a variety of situations and a range of audiences.
2017 343pp
9781470422103 Paperback £53.00 / US$59.00
INTRODUCTION TO QUANTUM ALGORITHMS
Johannes A. Buchmann AM
Pure and Applied Undergraduate Texts, Vol. 64
The theory of quantum algorithms is based on advanced concepts from computer science, mathematics, and physics. This book offers a mathematically precise exploration of these concepts, accessible to those with a basic mathematical university education, while also catering to more experienced readers.
2024 371pp
9781470473983 Paperback £79.00 / US$89.00
POLYNOMIAL METHODS IN COMBINATORICS
Larry Guth
University Lecture Series, Vol. 64
Explains some recent applications of the theory of polynomials and algebraic geometry to combinatorics and other areas of mathematics. One of the first results in this story is a short elegant solution of the Kakeya problem for finite fields. The author also discusses in detail various problems in incidence geometry associated to Paul Erdős’s distinct distances problem in the plane from the 1940s.
2016 273pp
9781470428907 Paperback £62.00 / US$69.00
THE MATHEMATICAL PLAYGROUND
People and Problems from 31 Years of Math Horizons
Edited by Alissa S. Crans & Glen T. Whitney
Problem Books, Vol. 38
Celebrates 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 lively prose and humour used throughout the book reveal the enthusiasm and playfulness that have become the column’s hallmark.
Aug 2024 458pp
9781470477523 Paperback £35.00 / US$39.00
MAA Press
MAX DEHN
Polyphonic Portrait
See page 1 for details of this title.
TASTY
JAPANESE MORSELS IN RECREATIONAL MATHEMATICS
Yoshiyuki Kotani
Edited by Toshihiro Kawamata, Andy Liu & George Sicherman
Spectrum, Vol. 105
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 favourite puzzles from over 40 years of puzzle setting, most of which have never appeared in western literature.
Jul 2024 262pp
9781470476786 Paperback £35.00 / US$39.00
MAA Press
WHAT’S HAPPENING IN THE MATHEMATICAL SCIENCES
Volume 13
Dana Mackenzie & Leila Sloman
Exploring topics ranging from artificial intelligence to non-Euclidean geometry, the 13th volume of What’s Happening in the Mathematical Sciences by Dana Mackenzie and Leila Sloman is an exquisitely crafted and skilfully authored examination of cutting-edge advancements in mathematics.
Sep 2024 132pp
9781470474904 Paperback £25.99 / US$29.00
THE MATHEMATICS OF SHUFFLING CARDS
Persi Diaconis & Jason Fulman
Provides a lively development of the mathematics needed to answer the question, ‘How many times should a deck of cards be shuffled to mix it up?’ The shuffles studied are the usual ones that real people use: riffle, overhand, and smooshing cards around on the table.
2023 346pp
9781470463038 Paperback
£70.00 / US$79.00
PUTTING TWO AND TWO TOGETHER
Selections from the Mathologer Files
Burkard Polster & Marty Ross
A humorous and quirky collection of unusual, ingenious, and beautiful morsels of mathematics. Authors Burkard Polster (YouTube’s Mathologer) and Marty Ross delve into mathematical puzzles and phenomena in engaging stories featuring current events, sports, and history, many flavoured with a distinctive bit of Australiana.
2022 270pp
9781470460112 Paperback £35.00 / US$39.00
REALLY BIG NUMBERS
Richard Evan Schwartz
2014 192pp
9781470414252 Paperback £21.99 / US$25.00
YOU
CAN COUNT ON MONSTERS
The First 100 Numbers and Their Characters
Richard Evan Schwartz
Monograph Books
2015 242pp
9781470422097 Paperback £21.99 / US$25.00
REALLY BIG NUMBERS and YOU CAN COUNT ON MONSTERS, 2-VOLUME SET
Richard Evan Schwartz
In Really Big Numbers, mathematician and author, Richard Evan Schwartz, leads math lovers of all ages on an innovative and strikingly illustrated journey through the infinite number system.
You Can Count on Monsters is a unique teaching tool that takes maths lovers on a journey designed to motivate kids to learn the fun of factoring and prime numbers.
2015 436pp
9781470422943 Set £35.00 / US$39.00
GEOMETRY & TOPOLOGY
ALEXANDROV GEOMETRY
Foundations
Stephanie Alexander, Vitali Kapovitch & Anton Petrunin
Graduate Studies in Mathematics, Vol. 236
A comprehensive exposition of the structure theory of Alexandrov spaces with curvature bounded above and below. It includes all the basic material as well as selected topics inspired by considering Alexandrov spaces with CBA and with CBB simultaneously. The book also includes an extensive problem list with solutions indicated for every problem.
Jun 2024 282pp
9781470475369 Paperback £79.00 / US$89.00
9781470473020 Hardback £120.00 / US$135.00
FRONTIERS IN GEOMETRY AND TOPOLOGY
Edited by Paul M. N. Feehan, Lenhard L. Ng & Peter S. Ozsvath
Proceedings of Symposia in Pure Mathematics, Vol. 109
Contains the proceedings of the summer school and research conference “Frontiers in Geometry and Topology”, celebrating the sixtieth birthday of Tomasz Mrowka. Articles in this volume cover topics including knot theory; the topology of three and four-dimensional manifolds; instanton, monopole, and Heegaard Floer homologies; Khovanov homology; and pseudoholomorphic curve theory.
Aug 2024 284pp
9781470470876 Paperback £123.00 / US$135.00
INTRODUCTION
TO COMPLEX MANIFOLDS
John M. Lee
Graduate Studies in Mathematics, Vol. 244
Complex manifolds are smooth manifolds endowed with coordinate charts that overlap holomorphically. They have deep and beautiful applications in many areas of mathematics. This book is an introduction to the concepts, techniques, and main results about complex manifolds (mainly compact ones).
Sep 2024 361pp
9781470477820 Paperback £79.00 / US$89.00
9781470476953 Hardback £120.00 / US$135.00
LECTURES ON DIFFERENTIAL GEOMETRY
Bennett Chow & Yutze Chow
See page 3 for details of this title.
PLAYING WITH SHAPE AND FORM
A Glimpse of Topology
Richard Evan Schwartz
See page 1 for details of this title.
TREES OF HYPERBOLIC SPACES
Michael Kapovich & Pranab Sardar Mathematical Surveys and Monographs, Vol. 282
Offers an alternative proof of the Bestvina-Feighn combination theorem for trees of hyperbolic spaces and describes uniform quasigeodesics in such spaces. As one of the applications of their description of uniform quasigeodesics, the authors prove the existence of CannonThurston maps for inclusion maps of total spaces of subtrees of hyperbolic spaces and of relatively hyperbolic spaces.
Aug 2024 278pp
9781470474256 Paperback £120.00 / US$135.00
BESTSELLERS
DIFFERENTIAL TOPOLOGY
Victor Guillemin & Alan Pallack
AMS Chelsea Publishing, Vol. 370
Provides an elementary and intuitive introduction to the study of smooth manifolds. By relying on a unifying idea - transversality - the authors are able to avoid the use of big machinery or ad hoc techniques to establish the main results. In this way, they present intelligent treatments of important theorems, such as the Lefschetz fixed-point theorem, the Poincaré-Hopf index theorem, and Stokes theorem.
1974 222pp
9780821851937 Hardback £62.00 / US$69.00
AMS Chelsea Publishing
GEOMETRY AND THE IMAGINATION
D. Hilbert & S. Cohn-Vossen
AMS Chelsea Publishing, Vol. 87
A remarkable book that has endured as a masterpiece of mathematical exposition. There are few mathematics books that are still so widely read and continue to have so much to offer-even after more than half a century. This book is overflowing with mathematical ideas, which are explained clearly and elegantly.
1952 357pp
9781470463021 Paperback £62.00 / US$69.00
AMS Chelsea Publishing
INTRODUCTION
TO THE h-PRINCIPLE
Second Edition
K. Cieliebak, Y. Eliashberg
& N. Mishachev
Graduate Studies in Mathematics, Vol. 239
Covers two main methods for proving the -principle: holonomic approximation and convex integration. Special emphasis is placed on applications to symplectic and contact geometry. This book is the first broadly accessible exposition of the theory and its applications.
2024 363pp
9781470476175 Paperback £79.00 / US$89.00
THE KNOT BOOK
An Elementary Introduction to the Mathematical Theory of Knots
Colin C. Adams
Knots are familiar objects. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. This work offers an introduction to this theory, starting with our understanding of knots. It presents the applications of knot theory to modern chemistry, biology and physics.
2004 307pp
9780821836781 Paperback £44.00 / US$49.00
MULTIDIMENSIONAL RESIDUE THEORY AND APPLICATIONS
Alekos Vidras
Mathematical Surveys and Monographs, Vol. 275
Defines and studies multidimensional residues via analytic continuation for holomorphic bundle-valued current maps. This point of view offers versatility and flexibility to the tools and constructions proposed, allowing these residues to be defined and studied outside the classical case of complete intersection.
2023 546pp
9781470471125 Paperback £115.00 / US$129.00
BESTSELLERS
EXTENSIONS OF THE AXIOM OF DETERMINACY
Paul B. Larson
University Lecture Series, Vol. 78
An expository account of work on strong forms of the Axiom of Determinacy (AD) by a group of set theorists in Southern California, particularly W. Hugh Woodin, aimed at readers with a background in basic set theory. The book’s first half reviews necessary background material, the second introduces Woodin’s axiom system and presents his analysis.
2023 165pp
A FIRST JOURNEY THROUGH LOGIC
Martin Hils & François Loeser
Student Mathematical Library, Vol. 89
The aim of this book is to present mathematical logic to students who are interested in what this field is but have no intention of specializing in it. The point of view is to treat logic on an equal footing to any other topic in the mathematical curriculum.
INTRODUCTION
TO MATHEMATICS
Number, Space, and Structure
Scott A. Taylor
Pure and Applied Undergraduate Texts, Vol. 62
Designed for an Introduction to Proofs course organised around the themes of number and space. Concepts are illustrated using both geometric and number examples, while frequent analogies and applications help build intuition and context in the humanities, arts, and sciences.
2023 436pp
9781470471880 Paperback £79.00 / US$89.00
RESIDUATED STRUCTURES IN ALGEBRA AND LOGIC
George Metcalfe, Francesco Paoli & Constantine Tsinakis
Mathematical Surveys and Monographs, Vol. 277
An introduction to residuated structures, a common thread binding together algebra and logic, designed to serve the purposes of novices and experts alike. The first three chapters provide a gentle introduction to the subject, while subsequent chapters provide a state-of-the-art account of recent developments in the field.
2023 265pp
9781470469856 Paperback £115.00 / US$129.00
THE TOOLS OF MATHEMATICAL REASONING
Tamara J. Lakins
Pure and Applied Undergraduate Texts, Vol. 26
Offers beginning undergraduate mathematics students a first exposure to introductory logic, proofs, sets, functions, number theory, relations, finite and infinite sets, and the foundations of analysis. This book provides students with a quick path to writing proofs and a practical collection of tools that they can use in later mathematics courses such as abstract algebra and analysis.
2016 217pp
9781470428990 Hardback £76.00 / US$85.00
ULTRAFILTERS THROUGHOUT MATHEMATICS
Isaac Goldbring
Graduate Studies in Mathematics, Vol. 220
Presents the basic facts about ultrafilters and ultraproducts to readers with no prior knowledge of the subject. These techniques are then applied to a wide variety of topics. The first part of the book deals solely with ultrafilters; the second part presents the classical ultraproduct construction.
2022 408pp
9781470469610 Paperback £76.00 / US$85.00
LATTICE MODELS AND CONFORMAL FIELD THEORY
Franck Gabriel, Clément Hongler & Francesco Spadaro
See page 5 for details of this title.
BESTSELLERS
AN INTRODUCTION TO THE MATHEMATICAL THEORY OF WAVES AM
Roger Knobel
Student Mathematical Library, Vol. 3
STRING-MATH 2022
Edited by Ron Donagi et al
Proceedings of Symposia in Pure Mathematics, Vol. 107
Contains the proceedings from the String-Math conference which took place at the University of Warsaw in 2022. This proceedings volume contains articles summarizing 14 conference lectures, devoted to several research areas and developments, including derivation of gauge-string duality, and the complexity of black holes.
Jun 2024 296pp
9781470472405 Paperback £123.00 / US$135.00
Presents an overview of the concept of a wave, and describes one-dimensional waves using functions of two variables. This book also provides an introduction to partial differential equations, and discusses computer-aided visualization techniques. It discusses travelling waves, leading to a description of solitary waves.
1999 196pp
9780821820391 Paperback £53.00 / US$59.00
MATHEMATICAL METHODS IN QUANTUM MECHANICS AM
With Applications to Schrodinger Operators, Second Edition
Gerald Teschl
Graduate Studies in Mathematics, Vol. 157
Quantum mechanics and the theory of operators on Hilbert space have been deeply linked since their beginnings in the early twentieth century. States of a quantum system correspond to certain elements of the configuration space and observables correspond to certain operators on the space. This book is a brief, but self-contained, introduction to the mathematical methods of quantum mechanics, with a view towards applications to Schrödinger operators.
2014 356pp
9781470417048 Hardback £88.00 / US$99.00
MATHEMATICAL UNDERSTANDING OF NATURE AM
Essays on Amazing Physical Phenomena and their Understanding by Mathematicians
V. I. Arnold
This collection of 39 short stories gives the reader a unique opportunity to take a look at the scientific philosophy of Vladimir Arnold. Topics of the stories included range from astronomy, to mirages, to motion of glaciers, to geometry of mirrors and beyond. In each case Arnold’s explanation is both deep and simple, which makes the book interesting and accessible to an extremely broad readership.
2014 167pp
9781470417017 Paperback £35.00 / US$39.00
SHOCK WAVES
Tai-Ping Liu AM
Graduate Studies in Mathematics, Vol. 215
Presents the fundamentals of the shock wave theory. The first part of the book covers the basic elements of the shock wave theory by analyzing the scalar conservation laws. This general theory is then used to study systems of hyperbolic conservation laws. The final part of the book focuses on specific physical models.
2022 437pp
9781470466251 Paperback £76.00 / US$85.00
MATHEMATICS EDUCATION
NAVIGATING THE MATH MAJOR
Charting Your Course
Carrie Diaz Eaton et al
Classroom Resource Materials, Vol. 73
A comprehensive resource to the undergraduate mathematics degree program. The authors provide students majoring in mathematics with useful tools for considering effective ways to support study as well as advice for applying to graduate programs and seeking jobs outside of academia.
Jul 2024 172pp
9781470475833 Paperback £58.00 / US$65.00
MAA Press
TEACHING MATHEMATICS THROUGH CROSS-CURRICULAR PROJECTS
Edited by Elizabeth A. Donovan, Lucas A. Hoots & Lesley W. Wiglesworth
Classroom Resource Materials, Vol. 72
Offers engaging cross-curricular modules to supplement a variety of pure mathematics courses. Every chapter was carefully designed to promote active learning strategies. This book is aimed at anyone wishing to demonstrate the utility of pure mathematics across a wide selection of real-world scenarios and academic disciplines.
Aug 2024 350pp
9781470474669 Paperback £58.00 / US$65.00
MAA Press
BESTSELLERS
EUCLIDEAN GEOMETRY IN MATHEMATICAL OLYMPIADS
Evan Chen
Problem Books, Vol. 27
A challenging problem-solving book in Euclidean geometry, assuming nothing of the reader other than a good deal of courage. Topics covered included cyclic quadrilaterals, power of a point, and homothety; along the way the reader will meet such classical gems as the nine-point circle, the Simson line, and the symmedian and the mixtilinear incircle.
2016 311pp
9781470466206 Paperback £58.00 / US$65.00
MAA Press
MATH CIRCLE BY THE BAY
Topics for Grades 1-5
Laura Givental, Maria Nemirovskaya & Ilya Zakharevich
MSRI Mathematical Circles Library, Vol. 21
Introduces children to combinatorics, Fibonacci numbers, Pascal’s triangle, and the notion of area, among other things. The authors chose topics with deep mathematical context that are part of the continuously developing stream of mathematical thought.
2019 179pp
9781470447854 Paperback £31.00 / US$35.00
A co-publication of the AMS and Mathematical Sciences Research Institute
MATHEMATICAL CIRCLE DIARIES, YEAR 1
Complete Curriculum for Grades 5 to 7
Anna Burago
MSRI Mathematical Circles Library, Vol. 11
Contains everything that is needed to run a successful mathematical circle for a full year. The materials, distributed among 29 weekly lessons, include detailed lectures and discussions, sets of problems with solutions, and contests and games. In addition, the book shares some of the know-how of running a mathematical circle.
2013 335pp
9780821887455 Paperback £31.00 / US$35.00
A co-publication of the AMS and Mathematical Sciences Research Institute
MATHEMATICS VIA PROBLEMS
Part 3: Combinatorics
Mikhail B. Skopenkov & Alexey A. Zaslavsky
MSRI Mathematical Circles Library, Vol. 29
A translation from Russian of Part III of the book Mathematics Through Problems: From Olympiads and Math Circles to Profession. The main goal of the book is to develop important parts of mathematics through problems.
2024 210pp
9781470460105 Paperback £49.00 / US$55.00
A co-publication of the AMS and Mathematical Sciences
Research Institute
MATH FROM THREE
TO SEVEN
The Story of a Mathematical Circle for Preschoolers
Alexander Zvonkin
MSRI Mathematical Circles Library, Vol. 5
Provides a captivating account of a professional mathematician’s experiences conducting a math circle for preschoolers in his apartment in Moscow in the 1980s. As anyone who has taught or raised young children knows, mathematical education for little kids is a real mystery. This is a narrative about what he did, what he tried, what worked, what failed, but most important, what the children experienced.
2011 300pp
9780821868737 Paperback £31.00 / US$35.00
A co-publication of the AMS and Mathematical Sciences Research Institute
PROOFS WITHOUT WORDS Exercises in Visual Thinking
Roger B. Nelsen
Classroom Resource Materials, Vol. 1
Proofs without words are generally pictures or diagrams that help the reader see why a particular mathematical statement may be true, and how one could go about proving it. The proofs in this collection are arranged into geometry and algebra; trigonometry, calculus and analytic geometry; inequalities; integer sums; and sequences and series.
2020 152pp
9781470451868 Paperback £53.00 / US$59.00
MAA Press
NUMBER THEORY
BESTSELLERS
ANALYTIC NUMBER THEORY
Henryk Iwaniec & Emmanuel Kowalski
Colloquium Publications, Vol. 53
Analytic Number Theory distinguishes itself by the variety of tools it uses to establish results, many of which belong to the mainstream of arithmetic. The main goal of the book is to show the scope of the theory, both in classical and modern directions, and to exhibit its wealth and prospects, its beautiful theorems and powerful techniques.
2004 615pp
9781470467708 Paperback £88.00 / US$99.00
ANALYTIC NUMBER THEORY FOR BEGINNERS
Second Edition
Prapanpong Pongsriiam
Student Mathematical Library, Vol. 103
Presents a friendly introduction to analytic number theory for both advanced undergraduate and beginning graduate students, and offers a comfortable transition between the two levels. Each chapter provides examples and exercises of varying difficulty and ends with a section of notes.
2023 375pp
9781470464448 Paperback £53.00 / US$59.00
AN ILLUSTRATED THEORY OF NUMBERS
Martin H. Weissman
Gives a comprehensive introduction to number theory, with complete proofs, worked examples, and exercises. The exposition reflects the most recent scholarship in mathematics and its history. Almost 500 sharp illustrations accompany elegant proofs, from prime decomposition through quadratic reciprocity.
2017 323pp
9781470463717 Paperback £67.00 / US$75.00
AN INTRODUCTION TO THE CIRCLE METHOD
M. Ram Murty & Kaneenika Sinha
Student Mathematical Library, Vol. 104
The circle method, pioneered by Ramanujan and Hardy in the early 20th century, has over the past 100 years become part of the standard tool chest of analytic number theory. This book provides an introduction to the circle method that is accessible to undergraduate students with no background in number theory.
2023 257pp
9781470472030 Paperback £53.00 / US$59.00
NUMBER THEORY THROUGH THE EYES OF SOPHIE GERMAIN
An Inquiry Course
David Pengelley
Classroom Resource Materials, Vol. 70
Sophie Germain (1776-1831) was largely self-taught in mathematics and, two centuries ago, in solitude, devised and implemented a plan to prove Fermat’s Last Theorem. Pengelley has taken excerpts of her writings and, by asking his readers to decipher them, skillfully leads us through an inquiry-based course in elementary number theory.
2023 205pp
9781470472207 Paperback £70.00 / US$79.00
MAA Press
PRIMES OF THE FORM x 2 + ny 2
Fermat, Class Field Theory, and Complex Multiplication. Third Edition with Solutions
David A. Cox
AMS Chelsea Publishing, 387
Examines when a prime �� can be written in the form x 2 + ny 2 . The book begins at an elementary level with results of Fermat and Euler and then discusses the work of Lagrange, Legendre and Gauss on quadratic reciprocity and the genus theory of quadratic forms.
2022 542pp
9781470470289 Paperback £58.00 / US$65.00
AMS Chelsea Publishing
PROBABILITY & STATISTICS APPLIED STOCHASTIC ANALYSIS
Miranda Holmes-Cerfon Courant Lecture Notes, Vol. 33
Introduces the major ideas of stochastic analysis with a view to modeling or simulating systems involving randomness. Topics covered include Markov chains (discrete and continuous), Gaussian processes, Ito calculus, and stochastic differential equations and their associated PDEs.
Nov 2024 244pp
9781470478391 Paperback £53.00 / US$59.00
A co-publication of the AMS and Courant Institute of Mathematical Sciences at New York University
A FIRST COURSE IN STOCHASTIC AM CALCULUS
Louis-Pierre Arguin
Pure and Applied Undergraduate Texts, Vol. 53
A complete guide for advanced undergraduate students to take the next step in exploring probability theory and for master’s students in mathematical finance who would like to build an intuitive and theoretical understanding of stochastic processes.
2022 270pp
9781470464882 Paperback £76.00 / US$85.00
MARKOV CHAINS AND MIXING TIMES
Second Edition
David A. Levin & Yuval Peres
Offers an introduction to the modern theory of Markov chains, whose goal is to determine the rate of convergence to the stationary distribution, as a function of state space size and geometry. This topic has important connections to combinatorics, statistical physics, and theoretical computer science. Many of the techniques presented originate in these disciplines.
2017 447pp
9781470429621 Hardback £79.00 / US$89.00
BESTSELLERS
CONTINUOUS TIME MARKOV PROCESSES
An Introduction
Thomas M. Liggett
Graduate Studies in Mathematics, Vol. 113
Markov processes are among the most important stochastic processes for both theory and applications. This book develops the general theory of these processes, and applies this theory to various special examples.
2010 271pp
9780821849491 Hardback £88.00 / US$99.00
AN INTRODUCTION TO STOCHASTIC DIFFERENTIAL AM EQUATIONS
Lawrence C. Evans
Provides a quick, but very readable introduction to stochastic differential equations - that is, to differential equations subject to additive “white noise” and related random disturbances. The exposition is strongly focused upon the interplay between probabilistic intuition and mathematical rigour.
2014 151pp
9781470410544 Hardback £40.00 / US$45.00
2001 167pp
PROBABILITY THEORY
S.R.S Varadhan
Courant Lecture Notes, Vol. 7
Presents topics in probability theory covered during a first-year graduate course given at the Courant Institute of Mathematical Sciences, USA. The necessary background material in measure theory is developed, including all the standard topics.
9780821828526 Paperback £26.99 / US$30.00
A co-publication of the AMS and Courant Institute of Mathematical Sciences at New York University
CONTEMPORARY MATHEMATICS
ALGEBRA & ALGEBRAIC GEOMETRY
AMITSUR CENTENNIAL SYMPOSIUM
Edited by Avinoam Mann et al
Contemporary Mathematics, Vol. 800
Jun 2024 309pp
9781470475550 Paperback £120.00 / US$135.00
RECENT ADVANCES IN NONCOMMUTATIVE ALGEBRA AND GEOMETRY
Edited by K. A. Brown et al
Contemporary Mathematics, Vol. 801
Jul 2024 274pp
9781470472399 Paperback £120.00 / US$135.00
HIGHER STRUCTURES IN TOPOLOGY, GEOMETRY, AND PHYSICS
Edited by Ralph M. Kaufmann, Martin Markl & Alexander A. Voronov
Contemporary Mathematics, Vol. 802
Aug 2024 324pp
9781470471422 Paperback £120.00 / US$135.00
MODULI SPACES AND VECTOR BUNDLESNEW TRENDS
Edited by Peter Gothen, Margarida Melo & Montserrat Teixidor i Bigas
Contemporary Mathematics, Vol. 803
Aug 2024 372pp
9781470472962 Paperback £120.00 / US$135.00
A GLIMPSE INTO GEOMETRIC REPRESENTATION THEORY
Edited by Mahir Bilen Can & JÖrg Feldvoss
Contemporary Mathematics, Vol. 804
Sep 2024 203pp
9781470470906 Paperback £120.00 / US$135.00
DEFORMATION OF ARTINIAN ALGEBRAS AND JORDAN TYPE
Edited by Anthony Iarrobino et al
Contemporary Mathematics, Vol. 805
Oct 2024 250pp
9781470473563 Paperback £120.00 / US$135.00
ANALYSIS
RECENT PROGRESS IN FUNCTION THEORY AND OPERATOR THEORY
Edited by Alberto Condori et al
Contemporary Mathematics, Vol. 799
Jun 2024 215pp
9781470472467 Paperback £120.00 / US$135.00
CONTEMPORARY MATHEMATICS
RECENT PROGRESS IN SPECIAL FUNCTIONS
Edited by Galina Filipuk
Contemporary Mathematics, Vol. 807
Jan 2025 229pp
9781470474294 Paperback £120.00 / US$135.00
DIFFERENTIAL EQUATIONS
TOPICS IN MULTIPLE TIME
SCALE DYNAMICS AM
Edited by Maximilian Engel, Hildeberto JardÓn-Kojakhmetov & Cinzia Soresina
Contemporary Mathematics, Vol. 806
Nov 2024 234pp
9781470473273 Paperback £120.00 / US$135.00
GEOMETRY & TOPOLOGY
GROUP ACTIONS AND EQUIVARIANT COHOMOLOGY
Edited by Loring W. Tu
Contemporary Mathematics, Vol. 808
Jan 2025 276pp
9781470471804 Paperback £120.00 / US$135.00
NEW TRENDS IN SUB-RIEMANNIAN GEOMETRY
Edited by Fabrice Baudoin & Luca Rizzi
Contemporary Mathematics, Vol. 809
Feb 2025 146pp
9781470473013 Paperback £120.00 / US$135.00
CONVEX AND COMPLEX
Perspectives on Positivity in Geometry
Edited by Robert J. Berman & Yanir A. Rubinstein
Contemporary Mathematics, Vol. 810
Feb 2025 308pp
9781470473389 Paperback £120.00 / US$135.00
GEOMETRY, GROUPS AND MATHEMATICAL PHILOSOPHY
Edited by Krishnendu Gongopadhyay & Shashikant A. Katre
Contemporary Mathematics, Vol. 811
Mar 2025 287pp
9781470472153 Paperback £120.00 / US$135.00
TOPOLOGY AT INFINITY OF DISCRETE GROUPS
Edited by Ross Geoghegan, Craig R. Guilbault & Kim Ruane
Contemporary Mathematics, Vol. 812
Mar 2025 341pp
9781470475345 Paperback £120.00 / US$135.00
ALGEBRA & ALGEBRAIC GEOMETRY
HIGHER AIRY STRUCTURES, ALGEBRAS AND TOPOLOGICAL RECURSION
Gaetan Borot et al
Memoirs of the American Mathematical Society, Vol. 296, No. 1476
Jun 2024 108pp
9781470469061 Paperback £76.00 / US$85.00
TOWERS AND THE FIRST-ORDER THEORIES OF HYPERBOLIC GROUPS
Vincent Guirardel, Gilbert Levitt & Rizos Sklinos
Memoirs of the American Mathematical Society, Vol. 296, No. 1477
Jun 2024 111pp
9781470469108 Paperback £76.00 / US$85.00
CUBICAL MODELS OF (∞,1)-CATEGORIES
Brandon Doherty et al
Memoirs of the American Mathematical Society, Vol. 297, No. 1484
Jul 2024 110pp
9781470468941 Paperback £76.00 / US$85.00
STRATIFIED NONCOMMUTATIVE GEOMETRY
David Ayala, Aaron Mazel-Gee & Nick Rozenblyum
Memoirs of the American Mathematical Society, Vol. 297, No. 1485
Jul 2024 260pp
9781470469627 Paperback £76.00 / US$85.00
A PLETHORA OF CLUSTER STRUCTURES ON GLn
M. Gekhtman, M. Shapiro & A. Vainshtein
Memoirs of the American Mathematical Society, Vol. 297, No. 1486
Jul 2024 104pp
9781470469702 Paperback £76.00 / US$85.00
RECONSTRUCTING ORBIT CLOSURES FROM THEIR BOUNDARIES
Paul Apisa & Alex Wright
Memoirs of the American Mathematical Society, Vol. 298, No. 1487
Aug 2024 141pp
9781470469115 Paperback £76.00 / US$85.00
MODULAR REPRESENTATION THEORY AND COMMUTATIVE BANACH ALGEBRAS
David J. Benson
Memoirs of the American Mathematical Society, Vol. 298, No. 1488
Aug 2024 118pp
9781470470296 Paperback £76.00 / US$85.00
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY
HOMOTOPY IN EXACT CATEGORIES
Jack Kelly
Memoirs of the American Mathematical Society, Vol. 298, No. 1490
Aug 2024 160pp
9781470470418 Paperback £76.00 / US$85.00
REFLEXIVE MODULES ON NORMAL GORENSTEIN STEIN SURFACES, THEIR DEFORMATIONS AND MODULI
Javier Fernández de Bobadilla & AgustÍn Romano-Velázquez
Memoirs of the American Mathematical Society, Vol. 298, No. 1493
Aug 2024 94pp
9781470470531 Paperback £76.00 / US$85.00
NORMED AMENABILITY AND BOUNDED COHOMOLOGY OVER NON-ARCHIMEDEAN FIELDS
Francesco Fournier-Facio
Memoirs of the American Mathematical Society, Vol. 299, No. 1494
Sep 2024 98pp
9781470470913 Paperback £76.00 / US$85.00
A COMPARISON THEOREM FOR SEMI-ABELIAN SCHEMES OVER A SMOOTH CURVE
Fabien Trihan & David Vauclair
Memoirs of the American Mathematical Society, Vol. 299, No. 1495
Sep 2024 216pp
9781470469696 Paperback £76.00 / US$85.00
UNIPOTENT REPRESENTATIONS, THETA CORRESPONDENCES, AND QUANTUM INDUCTION
Hongyu He
Memoirs of the American Mathematical Society, Vol. 299, No. 1496
Sep 2024 90pp
9781470470302 Paperback £76.00 / US$85.00
GENERIC STABILIZERS IN ACTIONS OF SIMPLE ALGEBRAIC GROUPS
R. M. Guralnick & R. Lawther
Memoirs of the American Mathematical Society, Vol. 300, No. 1502
Sep 2024 303pp
9781470470524 Paperback £76.00 / US$85.00
EQUIVALENT DEFINITIONS OF ARTHUR PACKETS FOR REAL CLASSICAL GROUPS
J. Adams, N. Arancibia Robert & P. Mezo
Memoirs of the American Mathematical Society, Vol. 300, No. 1503
Sep 2024 110pp
9781470471057 Paperback £76.00 / US$85.00
NONCOMMUTATIVE COORDINATES FOR SYMPLECTIC REPRESENTATIONS
Daniele Alessandrini et al
Memoirs of the American Mathematical Society, Vol. 300, No. 1504
Sep 2024 116pp
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THE STRONG KÜNNETH THEOREM FOR TOPOLOGICAL PERIODIC CYCLIC HOMOLOGY
Andrew J. Blumberg & Michael A. Mandell
Memoirs of the American Mathematical Society, Vol. 301, No. 1508
Oct 2024 102pp
9781470471385 Paperback
£76.00 / US$85.00
AUTOMORPHISMS OF GRAPH PRODUCTS OF GROUPS AND ACYLINDRICAL HYPERBOLICITY
Anthony Genevois
Memoirs of the American Mathematical Society, Vol. 301, No. 1509
Oct 2024 127pp
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THE FURTHER CHAMELEON GROUPS OF RICHARD THOMPSON AND GRAHAM HIGMAN: AUTOMORPHISMS VIA DYNAMICS FOR THE HIGMAN-THOMPSON GROUPS Gn,r
C. Bleak et al
Memoirs of the American Mathematical Society, Vol. 301, No. 1510
Oct 2024 94pp
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HYPERDERIVATIVES OF PERIODS AND QUASI-PERIODS FOR ANDERSON t-MODULES
Changningphaabi Namoijam & Matthew A. Papanikolas
Memoirs of the American Mathematical Society, Vol. 302, No. 1517
Nov 2024 121pp
9781470470883 Paperback £76.00 / US$85.00
THE MOTIVIC ANABELIAN GEOMETRY OF LOCAL HEIGHTS ON ABELIAN VARIETIES
L. Alexander Betts
Memoirs of the American Mathematical Society, Vol. 302, No. 1518
Nov 2024 88pp
9781470471248 Paperback £76.00 / US$85.00
LIE PSEUDOGROUPS A LA CARTAN
Marius Crainic & Ori Yudilevich
Memoirs of the American Mathematical Society, Vol. 303, No. 1527
Jan 2025 99pp
9781470472658 Paperback £76.00 / US$85.00
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY
p-ADIC HODGE THEORY FOR ARTIN STACKS
Edited by Dmitry Kubrak & Artem Prikhodko
Memoirs of the American Mathematical Society, Vol. 304, No. 1528
Jan 2025 174pp
9781470471361 Paperback £76.00 / US$85.00
THE INDUCTIVE BLOCKWISE ALPERIN WEIGHT CONDITION FOR THE CHEVALLEY GROUPS F4(q )
Edited by Jianbei An, Gerhard Hiss & Frank Lübeck
Memoirs of the American Mathematical Society, Vol. 304, No. 1530
Jan 2025 142pp
9781470472221 Paperback £76.00 / US$85.00
DRINFELD MODULAR FORMS OF ARBITRARY RANK
Edited by Dirk Basson, Florian Breuer & Richard Pink
Memoirs of the American Mathematical Society, Vol. 304, No. 1531
Jan 2025 79pp
9781470472238 Paperback £76.00 / US$85.00
ANALYSIS
MULTI-SCALE SPARSE DOMINATION
David Beltran, Joris Roos & Andreas Seeger
Memoirs of the American Mathematical Society, Vol. 298, No. 1491
Aug 2024 104pp
9781470470425 Paperback £76.00 / US$85.00
REGULARITY WITH RESPECT TO THE PARAMETER OF LYAPUNOV EXPONENTS FOR DIFFEOMORPHISMS WITH DOMINATED SPLITTING
Radu Saghin, Pancho Valenzuela-HenrÍquez & Carlos H. Vásquez
Memoirs of the American Mathematical Society, Vol. 300, No. 1506
Sep 2024 78pp
9781470471323 Paperback £76.00 / US$85.00
SYMBOLIC DYNAMICS FOR NONUNIFORMLY HYPERBOLIC MAPS WITH SINGULARITIES IN HIGH DIMENSION
Ermerson Araujo, Yuri Lima & Mauricio Poletti
Memoirs of the American Mathematical Society, Vol. 301, No. 1511
Oct 2024 117pp
9781470471330 Paperback £76.00 / US$85.00
AMENABILITY AND WEAK CONTAINMENT FOR ACTIONS OF LOCALLY COMPACT GROUPS ON C *-ALGEBRAS
Alcides Buss, Siegfried Echterhoff & Rufus Willett
Memoirs of the American Mathematical Society, Vol. 301, No. 1513
Oct 2024 88pp
9781470471521 Paperback £76.00 / US$85.00
ON THE SIZE OF THE SINGULAR SET OF MINIMIZING HARMONIC MAPS
Katarzyna Mazowiecka, Michał MiŚkiewicz & Armin Schikorra
Memoirs of the American Mathematical Society, Vol. 302, No. 1519
Nov 2024 82pp
9781470471620 Paperback £76.00 / US$85.00
POINTWISE CONVERGENCE OF NONCOMMUTATIVE FOURIER SERIES
Guixiang Hong, Simeng Wang & Xuemin Wang
Memoirs of the American Mathematical Society, Vol. 302, No. 1520
Nov 2024 86pp
9781470471866 Paperback £76.00 / US$85.00
ASYMPTOTIC ANALYSIS FOR SACKS-UHLENBECK
∝-HARMONIC MAPS FROM DEGENERATING RIEMANN SURFACES
Lei Liu & Miaomiao Zhu
Memoirs of the American Mathematical Society, Vol. 303, No. 1525
Jan 2025 90pp
9781470472115 Paperback £76.00 / US$85.00
ROUGH COLLISIONS
Edited by Peter Rudzis
Memoirs of the American Mathematical Society, Vol. 304, No. 1533
Jan 2025 117pp
9781470472504 Paperback £76.00 / US$85.00
DIFFERENTIAL EQUATIONS
TRANSITION THRESHOLD FOR THE 3D COUETTE FLOW IN A FINITE CHANNEL
Qi Chen, Dongyi Wei & Zhifei Zhang
Memoirs of the American Mathematical Society, Vol. 296, No. 1478
Jun 2024 178pp
9781470468958 Paperback £76.00 / US$85.00
ALMOST SURE SCATTERING FOR THE ONE DIMENSIONAL NONLINEAR SCHRÖDINGER EQUATION
Nicolas Burq & Laurent Thomann
Memoirs of the American Mathematical Society, Vol. 296, No. 1480
Jun 2024 87pp
9781470469795 Paperback £76.00 / US$85.00
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY
LOCAL LIPSCHITZ CONTINUITY IN THE INITIAL VALUE AND STRONG COMPLETENESS FOR NONLINEAR STOCHASTIC DIFFERENTIAL EQUATIONS
Sonja Cox, Martin Hutzenthaler & Arnulf Jentzen
Memoirs of the American Mathematical Society, Vol. 296, No. 1481
Jun 2024 90pp
9781470467012 Paperback £76.00 / US$85.00
ASYMPTOTIC COMPLETENESS FOR A SCALAR QUASILINEAR WAVE EQUATION SATISFYING THE WEAK NULL CONDITION
Dongxiao Yu
Memoirs of the American Mathematical Society, Vol. 298, No. 1492
Aug 2024 136pp
9781470470487 Paperback £76.00 / US$85.00
BILINEAR ESTIMATES IN THE PRESENCE OF A LARGE POTENTIAL AND A CRITICAL NLS IN 3D
Fabio Pusateri & Avy Soffer
Memoirs of the American Mathematical Society, Vol. 299, No. 1498
Sep 2024 107pp
9781470470678 Paperback £76.00 / US$85.00
EXTREME SUPERPOSITION:
HIGH-ORDER FUNDAMENTAL ROGUE WAVES IN THE FAR-FIELD REGIME
Deniz Bilman & Peter D. Miller
Memoirs of the American Mathematical Society, Vol. 300, No. 1505
Sep 2024 90pp
9781470471217 Paperback £76.00 / US$85.00
PRANDTL-MEYER REFLECTION CONFIGURATIONS, TRANSONIC SHOCKS, AND FREE BOUNDARY PROBLEMS
Myoungjean Bae, Gui-Qiang G. Chen & Mikhail Feldman
Memoirs of the American Mathematical Society, Vol. 301, No. 1507
Oct 2024 237pp
9781470462703 Paperback £76.00 / US$85.00
ON THE NODAL SET OF SOLUTIONS TO A CLASS OF NONLOCAL PARABOLIC EQUATIONS
Alessandro Audrito & Susanna Terracini
Memoirs of the American Mathematical Society, Vol. 301, No. 1512
Oct 2024 118pp
9781470471354 Paperback £76.00 / US$85.00
WELLPOSEDNESS OF SECOND ORDER MASTER EQUATIONS FOR MEAN FIELD GAMES WITH NONSMOOTH DATA
Chenchen Mou & Jianfeng Zhang
Memoirs of the American Mathematical Society, Vol. 302, No. 1515 Nov 2024 86pp
9781470470395 Paperback £76.00 / US$85.00
ON HYDRODYNAMIC LIMITS OF THE VLASOV-NAVIER-STOKES SYSTEM
Daniel Han-Kwan & David Michel
Memoirs of the American Mathematical Society, Vol. 302, No. 1516
Nov 2024 115pp
9781470470470 Paperback £76.00 / US$85.00
THE WAVE EQUATION WITH ACOUSTIC BOUNDARY CONDITIONS ON NON-LOCALLY REACTING SURFACES
Delio Mugnolo & Enzo Vitillaro
Memoirs of the American Mathematical Society, Vol. 303, No. 1526
Jan 2025 102pp
9781470472122 Paperback £76.00 / US$85.00
DISCRETE MATHEMATICS & COMBINATORICS
ON SINGULARITY PROPERTIES OF WORD MAPS AND APPLICATIONS TO PROBABILISTIC WARING TYPE PROBLEMS
Itay Glazer & Yotam I. Hendel
Memoirs of the American Mathematical Society, Vol. 299, No. 1497
Sep 2024 98pp
9781470470432 Paperback £76.00 / US$85.00
EXCLUDING A LINE FROM COMPLEX-REPRESENTABLE MATROIDS
James Geelen, Peter Nelson & Zach Walsh
Memoirs of the American Mathematical Society, Vol. 303, No. 1523
Jan 2025 91pp
9781470471873 Paperback £76.00 / US$85.00
HAMILTONICITY OF RANDOM SUBGRAPHS OF THE HYPERCUBE
Edited by Padraig Condon et al
Memoirs of the American Mathematical Society, Vol. 304, No. 1534
Jan 2025 132pp
9781470472665 Paperback £76.00 / US$85.00
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY
GEOMETRY & TOPOLOGY
MIXED HODGE STRUCTURES ON ALEXANDER MODULES
Eva Elduque et al
Memoirs of the American Mathematical Society, Vol. 296, No. 1479
Jun 2024 114pp
9781470469672 Paperback £76.00 / US$85.00
HOMOTOPY FIBRATIONS WITH A SECTION AFTER LOOPING
Stephen Theriault
Memoirs of the American Mathematical Society, Vol. 299, No. 1499
Sep 2024 101pp
9781470470982 Paperback £76.00 / US$85.00
EXPONENTIAL DECAY ESTIMATES AND SMOOTHNESS OF THE MODULI SPACE OF PSEUDOHOLOMORPHIC CURVES
Kenji Fukaya et al
Memoirs of the American Mathematical Society, Vol. 299, No. 1500
Sep 2024 140pp
9781470471064 Paperback £76.00 / US$85.00
WIND FINSLERIAN STRUCTURES: FROM ZERMELO’S NAVIGATION TO THE CAUSALITY OF SPACETIMES
Erasmo Caponio, Miguel Angel Javaloyes & Miguel Sánchez
Memoirs of the American Mathematical Society, Vol. 300, No. 1501
Sep 2024 121pp
9781470469931 Paperback £76.00 / US$85.00
SEMITORIC FAMILIES
Yohann Le Floch & Joseph Palmer
Memoirs of the American Mathematical Society, Vol. 302, No. 1514
Nov 2024 97pp
9781470470388 Paperback £76.00 / US$85.00
VECTOR CALCULUS FOR TAMED DIRICHLET SPACES
Mathias Braun
Memoirs of the American Mathematical Society, Vol. 303, No. 1522
Jan 2025 135pp
9781470471828 Paperback £76.00 / US$85.00
MATHEMATICAL PHYSICS
THE ASYMPTOTIC GEOMETRY OF G2-MONOPOLES
Daniel Fadel, Akos Nagy & Goncalo Oliveira
Memoirs of the American Mathematical Society, Vol. 303, No. 1521
Jan 2025 91pp
9781470471262 Paperback £76.00 / US$85.00
FOCUSING Φ43-MODEL WITH A HARTREE-TYPE NONLINEARITY
Edited by Tadahiro Oh, Mamoru Okamoto & Leonardo Tolomeo
Memoirs of the American Mathematical Society, Vol. 304, No. 1529
Jan 2025 143pp
9781470471934 Paperback £76.00 / US$85.00
ON THE PROBLEM OF INFINITE SPIN IN TOTAL COLLISIONS OF THE PLANAR N-BODY PROBLEM
Edited by Xiang Yu
Memoirs of the American Mathematical Society, Vol. 304, No. 1532
Jan 2025 82pp
9781470472498 Paperback £76.00 / US$85.00
NUMBER THEORY
LITTLEWOOD AND DUFFIN-SCHAEFFER-TYPE PROBLEMS IN DIOPHANTINE APPROXIMATION
Sam Chow & Niclas Technau
Memoirs of the American Mathematical Society, Vol. 296, No. 1475
Jun 2024 74pp
9781470468798 Paperback £76.00 / US$85.00
ON
REFINED CONJECTURES
OF
BIRCH
AND SWINNERTON-DYER TYPE FOR HASSE-WEIL-ARTIN L-SERIES
David Burns & Daniel Macias Castillo
Memoirs of the American Mathematical Society, Vol. 297, No. 1482
Jul 2024 156pp
9781470469665 Paperback £76.00 / US$85.00
SIMPLE SUPERCUSPIDAL L-PACKETS OF QUASI-SPLIT CLASSICAL GROUPS
Masao Oi
Memoirs of the American Mathematical Society, Vol. 297, No. 1483
Jul 2024 161pp
9781470469566 Paperback £76.00 / US$85.00
ON p-ADIC L-FUNCTIONS FOR HILBERT MODULAR FORMS
John Bergdall & David Hansen
Memoirs of the American Mathematical Society, Vol. 298, No. 1489
Aug 2024 125pp
9781470470319 Paperback £76.00 / US$85.00
PROBABILITY & STATISTICS
DISJOINT OPTIMIZERS AND THE DIRECTED LANDSCAPE
Duncan Dauvergne & Lingfu Zhuang
Memoirs of the American Mathematical Society, Vol. 303, No. 1524
Jan 2025 103pp
9781470471903 Paperback £76.00 / US$85.00
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