Cambridge University Press Mathematics and Statistics Textbooks Spring 2021

Higher Education

Mathematics & Statistics New and bestselling textbooks

Spring 2021

1

Instructors,

order your examination copy If you are considering using one of our textbooks as a set text on your course then you can request a free examination copy Order your examination copy in the following ways: Online Visit www.cambridge.org/highereducation, click 'Request examination copy' on any textbook page and complete the online form. You can request a digital or physical copy, and track the progress of your order in your account area.

Email Email details of your chosen textbook, along with your affiliation, course name, level and number of students to: Europe inspectioncopy@cambridge.org North America collegesales@cambridge.org

Phone Call the textbook team on Europe +44 (0)1223 326050 North America 1-800-431-1580 | 1-800-872-7423

2

Higher Education from Cambridge University Press Our website offers the highest quality content and resources from leading authors to instructors and students, supporting successful teaching and learning journeys. Institutions can subscribe for access to our digital textbooks, ranging from bespoke bundles to the full collection.

Key Features of the Higher Education Website: l Improved process for requesting examination copies l Access to supplementary resources to support instructors and students l Enhanced search returns results from Cambridge Core and the Higher Education site l Our online textbooks can be read by unlimited concurrent users and have offline reading capability l Notes, highlighting and bookmarking functionality makes studying easier l Bibliographic metadata is available for all formats at title level, plus citation tools for easy referencing

Visit us at www.cambridge.org/highereducation

3

Contents INTRODUCTORY MATHEMATICS

5

PROBABILITY

11

Chance, Strategy, and Choice Quantitative Reasoning

5 5

Fat Chance Introduction to Probability

11 11

TRANSITION TO HIGHER MATHEMATICS

5

STATISTICS AND ACTUARIAL SCIENCE

11

How to Prove it Exploring Mathematics Towards Higher Mathematics

5 5 5

11 11

DISCRETE MATHEMATICS, LOGIC AND SETS

5

Combinatorial Mathematics An Invitation to Model Theory Set Theory

5 5 5

LINEAR ALGEBRA

6

Linear Algebra for Everyone Introduction to Linear Algebra Linear Algebra A Second Course in Linear Algebra Introduction to Applied Linear Algebra

6 6 6 6 6

Regression and Other Stories Inferential Network Analysis A First Course in Statistical Programming with R Modern Statistics for Modern Biology Biostatistics with R Statistics for the Social Sciences Statistics Using R Actuarial Mathematics for Life Contingent Risks Solutions Manual for Actuarial Mathematics for Life Contingent Risks Statistical Inference for Engineers and Data Scientists

ABSTRACT ALGEBRA

6

Abstract Algebra Algebra Galois Theory, and Its Algebraic Background Abstract Algebra with Applications

6 6 6 7

ANALYSIS

7

An Introduction to Functional Analysis Complex Analysis Complex Analysis A First Course in Analysis Chaotic Dynamics

7 7 7 7 7

GEOMETRY AND TOPOLOGY

7

A First Course in Differential Geometry A Short Course in Differential Topology

7 7

COMPUTATIONAL MATHEMATICS

8

The Student’s Introduction to Mathematica and the Wolfram Language Introduction to Experimental Mathematics

8 8

APPLIED MATHEMATICS

8

Introduction to Complex Variables and Applications Numerical Linear Algebra A First Course in Network Science Game Theory

8 8 8 8

MATHEMATICS FOR COMPUTER AND DATA SCIENCE

11

Mathematics for Machine Learning Data-Driven Science and Engineering Foundations of Data Science A Hands-On Introduction to Data Science

11 11 11 11

12 12 12 12 12 12 12 12

4

Higher Education | Mathematics & Statistics

INTRODUCTORY MATHEMATICS

Chance, Strategy, and Choice

Quantitative Reasoning Thinking in Numbers Eric Zaslow

An Introduction to the Mathematics of Games and Elections Samuel Bruce Smith

Employs basic mathematical skills to teach students how to address topical, real-world problems using quantitative reasoning.

This classroom-tested undergraduate textbook is primarily intended for a general education course in game theory at the freshman or sophomore level.

January 2020 253 x 177 mm 258pp 22 b/w illus. 8 tables 978-1-108-41090-8 Paperback £26.99 / US$34.99 X

Cambridge Mathematical Textbooks

TRANSITION TO HIGHER MATHEMATICS

How to Prove It

Exploring Mathematics

A Structured Approach Third edition Daniel J. Velleman

An Engaging Introduction to Proof John Meier and Derek Smith

Helps students transition from problem solving to proving theorems, with a new chapter on number theory and over 150 new exercises.

With exercises and projects, Exploring Mathematics supports an active approach to the transition to upper-level theoretical math courses.

July 2019 228 x 152 mm 468pp 47 b/w illus.

978-1-108-43953-4 Paperback £29.99 / US$37.99 X

Cambridge Mathematical Textbooks

An Invitation to Model Theory

Set Theory

September 2017 253 x 177 mm 338pp 60 b/w illus.

978-1-107-12898-9 Hardback £40.99 / US$50.99 X

August 2015 253 x 177 mm 352pp 60 b/w illus. 243 tables 300 exercises 978-1-107-08452-0 Hardback £39.99 / US$54.99 X

Towards Higher Mathematics: A Companion Richard Earl

This book allows students to stretch their mathematical abilities and bridges the gap between school and university.

September 2017 247 x 174 mm 540pp 100 b/w illus. 1760 exercises 978-1-316-61483-9 Paperback £29.99 / US$37.99 G

DISCRETE MATHEMATICS, LOGIC AND SETS

Combinatorial Mathematics Douglas B. West

This is the most readable and thorough graduate textbook and reference for combinatorics, covering enumeration, graphs, sets, and methods.

Jonathan Kirby

A First Course Daniel W. Cunningham

An innovative and largely selfcontained textbook bringing model theory to an undergraduate audience.

Set theory can be considered a unifying theory for mathematics.

This book covers the fundamentals of the subject.

April 2019 228 x 152 mm 194pp 5 b/w illus.

978-1-316-61555-3 Paperback £26.99 / US$34.99 X

Cambridge Mathematical Textbooks

July 2020 246 x 189 mm 988pp 2200 exercises 978-1-107-05858-3 Hardback £59.99 / US$77.99 X

www.cambridge.org/mathtextbooksonline

July 2016 228 x 152 mm 262pp 13 b/w illus.

978-1-107-12032-7 Hardback £42.99 / US$61.99 X

5

Higher Education | Mathematics & Statistics

LINEAR ALGEBRA

Linear Algebra for Everyone Gilbert Strang

From Gilbert Strang, a new approach to linear algebra that is suitable for everyone, going from basics to the singular value decomposition.

NOT FOR SALE IN NORTH AMERICA November 2020 234 x 191 mm 368pp 978-1-73314-663-0 Hardback £49.99 / N/A X

Introduction to Applied Linear Algebra Vectors, Matrices, and Least Squares Stephen Boyd and Lieven Vandenberghe

A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.

June 2018 246 x 189 mm 474pp 978-1-316-51896-0 Hardback £35.99 / US$50.99 X

Introduction to Linear Algebra Fifth edition Gilbert Strang

The fifth edition of this hugely successful textbook retains all the qualities of earlier editions while also seeing many minor improvements and major additions.

Linear Algebra Elizabeth S. Meckes and Mark W. Meckes

Rigorous yet engaging, Linear Algebra offers a unified treatment of both matrix-oriented and theoretical approaches to the course.

Cambridge Mathematical Textbooks

A Second Course in Linear Algebra Stephan Ramon Garcia and Roger A. Horn

A second course in linear algebra for undergraduates in mathematics, computer science, physics, statistics, and the biological sciences.

July 2018 253 x 177 mm 442pp 978-1-107-17790-1 Hardback £49.99 / US$70.99 X

Cambridge Mathematical Textbooks

ABSTRACT ALGEBRA

Algebra

Abstract Algebra

Notes from the Underground Paolo Aluffi

Galois Theory and Its Algebraic Background

NOT FOR SALE IN NORTH AMERICA August 2016 230 x 190 mm 600pp 978-1-73314-665-4 Hardback £74.99 / N/A P

A Comprehensive Introduction John W. Lawrence and Frank A. Zorzitto

A lucid guide to abstract algebra, this comprehensive textbook provides in depth coverage for upper undergraduate students.

Cambridge Mathematical Textbooks

A conversational introduction to abstract algebra from a modern, rings-first perspective, including a treatment of modules.

Cambridge Mathematical Textbooks May 2021 244 x 170 mm c.425pp 978-1-108-95823-3 Paperback £29.99 / US$39.99 X

March 2021 978-1-108-83665-4 Hardback £64.99 / US$84.99 X

www.cambridge.org/mathtextbooksonline

May 2017 253 x 177 mm 442pp 15 b/w illus.

978-1-107-10381-8 Hardback £50.99 / US$65.99 X

Second edition D. J. H. Garling

This textbook contains a full account of Galois Theory and the algebra that it needs, with exercises, examples and applications.

July 2021 228 x 152 mm c.200pp 978-1-108-96908-6 Paperback c. £34.99 / c. US$44.99 X

6

Higher Education | Mathematics & Statistics

Abstract Algebra with Applications Audrey Terras

This text offers a friendly and concise introduction to abstract algebra, emphasizing its uses in the modern world.

Cambridge Mathematical Textbooks December 2018 253 x 177 mm 328pp 104 b/w illus. 100 colour illus.

978-1-107-16407-9 Hardback £45.99 / US$59.99 X

A First Course in Analysis John B. Conway

This concise text clearly presents the material needed for year-long analysis courses for advanced undergraduates or beginning graduates.

Cambridge Mathematical Textbooks September 2017 228 x 152 mm 375pp 978-1-107-17314-9 Hardback £40.99 / US$51.99 X

ANALYSIS

Complex Analysis

Complex Analysis

An Introduction to Functional Analysis

Donald E. Marshall

Second edition Ian Stewart and David Tall

James C. Robinson

Accessible text covering core functional analysis topics in Hilbert and Banach spaces, with detailed proofs and 200 fullyworked exercises.

March 2020 228 x 152 mm 416pp 17 b/w illus. 215 exercises 978-0-521-72839-3 Paperback £29.99 / US$39.99 X

Chaotic Dynamics Fractals, Tilings, and Substitutions Geoffrey R. Goodson

This rigorous undergraduate introduction to dynamical systems is an accessible guide for mathematics students advancing from calculus.

Cambridge Mathematical Textbooks March 2017 253 x 177 mm 416pp 93 b/w illus. 435 exercises 978-1-107-11267-4 Hardback £56.99 / US$75.99 X

This user-friendly textbook follows Weierstrass’ approach to offer a self-contained introduction to complex analysis.

Cambridge Mathematical Textbooks April 2019 253 x 177 mm 286pp 68 colour illus.

978-1-107-13482-9 Hardback £49.99 / US$69.99 X

GEOMETRY AND TOPOLOGY

A First Course in Differential Geometry

A new edition of a classic textbook on complex analysis with an emphasis on translating visual intuition to rigorous proof.

August 2018 247 x 174 mm 402pp 195 b/w illus. 2 tables 978-1-108-43679-3 Paperback £29.99 / US$42.99 X

A Short Course in Differential Topology Bjørn Ian Dundas

Surfaces in Euclidean Space Lyndon Woodward and John Bolton

Concise and modern introduction to differential topology with a hands-on approach and plentiful examples and exercises.

With detailed explanations and numerous examples, this textbook covers the differential geometry of surfaces in Euclidean space.

June 2018 253 x 177 mm 262pp 95 b/w illus. 230 exercises 978-1-108-42579-7 Hardback £39.99 / US$54.99 P

Cambridge Mathematical Textbooks

November 2018 247 x 174 mm 272pp 135 b/w illus.

978-1-108-44102-5 Paperback £29.99 / US$39.99 X

www.cambridge.org/mathtextbooksonline

7

Higher Education | Mathematics & Statistics

COMPUTATIONAL MATHEMATICS

The Student’s Introduction to Mathematica and the Wolfram Language Third edition Bruce F. Torrence and Eve A. Torrence

An introduction to Mathematica® and the Wolfram Language™ in the familiar context of the standard university mathematics curriculum.

May 2019 246 x 189 mm 544pp 480 b/w illus. 250 exercises 978-1-108-40636-9 Paperback £39.99 / US$49.99 P

Introduction to Experimental Mathematics Søren Eilers and Rune Johansen

This text introduces students to an experimental approach to mathematics, using Maple to systematically investigate and develop mathematical theory.

Cambridge Mathematical Textbooks June 2017 253 x 177 mm 316pp 978-1-107-15613-5 Hardback £39.99 / US$54.99 X

APPLIED MATHEMATICS

Introduction to Complex Variables and Applications Mark J. Ablowitz Athanassios S. Fokas

An introduction to complex variables that caters for undergraduate students in applied mathematics, science, and engineering.

Cambridge Texts in Applied Mathematics, 63 March 2021 244 x 170 mm c.400pp 978-1-108-95972-8 Paperback £39.99 / US$49.99 P

Numerical Linear Algebra

A First Course in Network Science

An Introduction Holger Wendland

Filippo Menczer Santo Fortunato and Clayton A. Davis

Second edition Michael Maschler Eilon Solan and Shmuel Zamir

Cambridge Texts in Applied Mathematics, 56

A practical introduction to network science for students across business, cognitive science, neuroscience, sociology, biology, engineering and other disciplines.

This new edition is unparalleled in breadth of coverage, thoroughness of technical explanations and number of worked examples.

November 2017 228 x 152 mm 418pp 21 b/w illus. 55 exercises 978-1-316-60117-4 Paperback £35.99 / US$45.99 G

February 2020 246 x 189 mm c.300pp 131 b/w illus. 131 colour illus.

978-1-108-47113-8 Hardback £34.99 / US$44.99 X

June 2020 246 x 189 mm 1050pp 292 b/w illus.

978-1-108-82514-6 Paperback £49.99 / US$64.99 X

This self-contained introduction to numerical linear algebra provides a comprehensive, yet concise, overview of the subject.

Game Theory

www.cambridge.org/mathtextbooksonline

8

Digital Textbooks Available Providing instant access and note-taking tools to unlimited concurrent users at subscribing institutions

New Titles

Coming soon to our Higher Education website.

For more titles, visit www.cambridge.org/mathtextbooksonline Contact your librarian to find out more about our flexible subscription options, ranging from bespoke bundles to the full collection.

9

N O N

LI E IT ED N IO

G.M. HOMSY et al

Multimedia Fluid Mechanics 







Extensive media library of over 800 components spanning the 8 modules Original DVD content fully optimised for all devices and screen sizes View animations and interact with virtual labs MathJax enabled for good reproduction of mathematical/ technical symbols

Multimedia Fluid Mechanics has been developed with the support of the National Science Foundation.

Find out more why Multimedia Fluid Mechanics online is the ideal supplement to your fluid mechanics course at cambridge.org/MFMO

10

Higher Education | Mathematics & Statistics

MATHEMATICS FOR COMPUTER AND DATA SCIENCE

Mathematics for Machine Learning Marc Peter Deisenroth A. Aldo Faisal and Cheng Soon Ong

Distills key concepts from linear algebra, geometry, matrices, calculus, optimization, probability and statistics that are used in machine learning.

April 2020 253 x 177 mm 398pp 3 b/w illus. 106 colour illus.

978-1-108-45514-5 Paperback £35.99 / US$46.99 P

PROBABILITY

Fat Chance Probability from 0 to 1 Benedict Gross Joe Harris and Emily Riehl

Designed for the intellectually curious, this book provides a solid foundation in basic probability in an informal style, without jargon.

June 2019 253 x 177 mm 210pp 978-1-108-72818-8 Paperback £19.99 / US$25.99 G

Data-Driven Science and Engineering Machine Learning, Dynamical Systems, and Control Steven L. Brunton and J. Nathan Kutz

This beginning graduate textbook teaches data science and machine learning methods for modeling, prediction, and control of complex systems.

Foundations of Data Science Avrim Blum John Hopcroft and Ravindran Kannan

Covers mathematical and algorithmic foundations of data science: machine learning, high-dimensional geometry, and analysis of large networks.

A Hands-On Introduction to Data Science Chirag Shah

An introductory textbook offering a low barrier entry to data science; the hands-on approach will appeal to students from a range of disciplines.

January 2020 253 x 177 mm 432pp 978-1-108-48506-7 Hardback £38.99 / US$49.99 P

April 2020 246 x 189 mm 424pp 5 b/w illus. 135 colour illus. 36 tables 154 exercises 978-1-108-47244-9 Hardback £39.99 / US$49.99 P

STATISTICS AND ACTUARIAL SCIENCE

Inferential Network Analysis

February 2019 253 x 177 mm 492pp 978-1-108-42209-3 Hardback £49.99 / US$64.99 P

Introduction to Probability David F. Anderson Timo Seppäläinen and Benedek Valkó

An introductory probability textbook with the right balance between mathematical precision, probabilistic intuition, and concrete applications.

Cambridge Mathematical Textbooks December 2017 253 x 177 mm 442pp 45 b/w illus. 48 colour illus. 600 exercises 978-1-108-41585-9 Hardback £50.99 / US$70.99 X

Regression and Other Stories Andrew Gelman Jennifer Hill and Aki Vehtari

A practical approach to using regression and computation to solve real-world problems of estimation, prediction, and causal inference.

Analytical Methods for Social Research July 2020 246 x 189 mm 548pp 183 b/w illus. 215 exercises 978-1-107-67651-0 Paperback £34.99 / US$44.99 P

www.cambridge.org/mathtextbooksonline

Skyler J. Cranmer Bruce A. Desmarais and Jason W. Morgan

Pioneering introduction of unprecedented breadth and scope to inferential and statistical methods for network analysis.

Analytical Methods for Social Research November 2020 228 x 152 mm 314pp 978-1-316-61085-5 Paperback £41.99 / US$54.99 X

11

Higher Education | Mathematics & Statistics TH IR D EDITION

A FIR ST COU R SE

I N STATISTIC A L

PROGR A M M I NG W ITH

R

W. John Braun Duncan J. Murdoch

A First Course in Statistical Programming with R Third edition W. John Braun Duncan J. Murdoch

Get started computing with data.

Learn general principles while learning R – now including the tidyverse.

Modern Statistics for Modern Biology Susan Holmes and Wolfgang Huber

A far-reaching course in practical advanced statistics for biologists using R/Bioconductor, data exploration, and simulation.

February 2019 276 x 216 mm 402pp 978-1-108-70529-5 Paperback £49.99 / US$64.99 X

Biostatistics with R An Introductory Guide for Field Biologists Jan Leps and Petr Šmilauer

A straightforward introduction to a wide range of statistical methods for field biologists, using thoroughly explained R code.

July 2020 247 x 174 mm 382pp 978-1-108-72734-1 Paperback £26.99 / US$34.99 X

May 2021 246 x 189 mm c.275pp 978-1-108-99514-6 Paperback £34.99 / US$44.99 P

Statistics Using R An Integrative Approach Sharon Lawner Weinberg Daphna Harel and Sarah Knapp Abramowitz

Using numerous examples with real data, this textbook closely integrates the learning of statistics with the learning of R. August 2020 254 x 203 mm 692pp 188 b/w illus. 102 tables 978-1-108-71914-8 Paperback £61.99 / US$79.99 X

Actuarial Mathematics for Life Contingent Risks Third edition David C. M. Dickson Mary R. Hardy and Howard R. Waters

This very readable book prepares students for professional exams and for real-world actuarial work in life insurance and pensions.

International Series on Actuarial Science December 2019 228 x 152 mm 782pp 11 b/w illus. 4 tables 300 exercises 978-1-108-47808-3 Hardback £76.99 / US$99.99 X

Solutions Manual for Actuarial Mathematics for Life Contingent Risks Third edition David C. M. Dickson Mary R. Hardy and Howard R. Waters

Must-have manual providing detailed solutions to all exercises in the required text for the Society of Actuaries’ (SOA) LTAM Exam.

Statistics for the Social Sciences A General Linear Model Approach Second edition Russell T. Warne

This textbook uses the general linear model as an organizing system to help students understand similarities across statistical methods.

February 2021 253 x 203 mm 650pp 978-1-108-81450-8 Paperback £57.99 / US$74.99 X

Statistical Inference for Engineers and Data Scientists Pierre Moulin and Venugopal V. Veeravalli

A mathematically accessible textbook introducing all the tools needed to address modern inference problems in engineering and data science.

November 2018 247 x 174 mm 418pp 978-1-107-18592-0 Hardback £55.99 / US$77.99 X

International Series on Actuarial Science April 2020 228 x 152 mm 302pp 11 b/w illus. 35 tables 978-1-108-74761-5 Paperback £34.99 / US$44.99 P

www.cambridge.org/mathtextbooksonline

12

Order at www.cambridge.org/mathtextbooksonline Prices The prices shown are usually approximate pre-publication prices. While every effort is made to maintain their accuracy, final prices may differ from those printed here.

Cambridge Alerts

Be the first to hear about textbooks and related titles in your subject areas of interest

Join us online Follow us on Twitter @CUP_SciEng Search for us on Facebook at @CambridgeSciEng

* Terms and conditions apply, full details at www.cambridge.org/academic/alerts-terms-and-conditions

www.cambridge.org/alerts 15

Higher Education from Cambridge University Press · Innovative and engaging teaching and learning resources

· Accessible and affordably priced for students

· Evidence-based support for improved learning outcomes

www.cambridge.org/mathtextbooksonline

16