# Mathematics

**Graph Theory in America: The First Hundred Years**

*Robin Wilson, John J. Watkins, and David J. Parks*

**How a new mathematical field grew and matured in America **

**The Story of Proof: Logic and the History of Mathematics**

*John Stillwell*

**How the concept of proof** **has enabled the creation of mathematical knowledge**

**The Proof Stage: How Theater Reveals the Human Truth of Mathematics**

*Stephen Abbott*

**How playwrights from Alfred Jarry and Samuel Beckett to Tom Stoppard and Simon McBurney brought the power of abstract mathematics to the human stage**

**Pentagons and Pentagrams: An Illustrated History**

*Eli Maor and Eugen Jost*

**A fascinating exploration of the pentagon and its role in various cultures**

**The Best Writing on Mathematics 2021**

*Mircea Pitici*

**The year’s finest mathematical writing from around the world**

**Mathletics: How Gamblers, Managers, and Fans Use Mathematics in Sports, Second Edition**

*Wayne L. Winston, Scott Nestler, and Konstantinos Pelechrinis*

**How to use math to improve performance and predict outcomes in professional sports**

**The New Era in American Mathematics, 1920–1950**

*Karen Hunger Parshall*

**A meticulously researched history on the development of American mathematics in the three decades following World War I**

**Flight Dynamics: Second Edition**

*Robert F. Stengel*

**An updated and expanded new edition of an authoritative book on flight dynamics and control system design for all types of current and future fixed-wing aircraft**

**Patterns, Predictions, and Actions: Foundations of Machine Learning**

*Moritz Hardt and Benjamin Recht*

**An authoritative, up-to-date graduate textbook on machine learning that highlights its historical context and societal impacts**

**Introduction to Nonlinear Control: Stability, Control Design, and Estimation**

*Christopher M. Kellett and Philipp Braun*

**An introductory text on the analysis, control, and estimation of nonlinear systems, appropriate for advanced undergraduate and graduate students**

**Mathletics: How Gamblers, Managers, and Fans Use Mathematics in Sports, Second Edition**

*Wayne L. Winston, Scott Nestler, and Konstantinos Pelechrinis*

**How to use math to improve performance and predict outcomes in professional sports**

**Moduli Stacks of Étale (ϕ, Γ)-Modules and the Existence of Crystalline Lifts: (AMS-215)**

*Matthew Emerton and Toby Gee*

**A foundational account of a new construction in the p-adic Langlands correspondence**

**What Determines an Algebraic Variety?: (AMS-216)**

*János Kollár, Max Lieblich, Martin Olsson, and Will Sawin*

**A pioneering new nonlinear approach to a fundamental question in algebraic geometry**

**The Arithmetic of Polynomial Dynamical Pairs: (AMS-214)**

*Charles Favre and Thomas Gauthier*

**New mathematical research in arithmetic dynamics**

**The Einstein-Klein-Gordon Coupled System: Global Stability of the Minkowski Solution: (AMS-213)**

*Alexandru D. Ionescu and Benoît Pausader*

**A definitive proof of global nonlinear stability of Minkowski space-time as a solution of the Einstein-Klein-Gordon equations**

**PDE Control of String-Actuated Motion**

*Ji Wang and Miroslav Krstic*

**New adaptive and event-triggered control designs with concrete applications in undersea construction, offshore drilling, and cable elevators**

**Delay-Adaptive Linear Control**

*Yang Zhu and Miroslav Krstic*

Actuator and sensor delays are among the most common dynamic phenomena in engineering practice, and when disregarded, they render controlled systems unstable. Over the past sixty years, predictor feedback has been a key tool for...

**Statistical Inference via Convex Optimization**

*Anatoli Juditsky and Arkadi Nemirovski*

This authoritative book draws on the latest research to explore the interplay of high-dimensional statistics with optimization. Through an accessible analysis of fundamental problems of hypothesis testing and signal recovery, Anatoli...

**The Enjoyment of Math**

*Hans Rademacher and Otto Toeplitz*

**The classic book that shares the enjoyment of mathematics with readers of all skill levels**

**The Mathematical Mechanic: Using Physical Reasoning to Solve Problems**

*Mark Levi*

Everybody knows that mathematics is indispensable to physics--imagine where we'd be today if Einstein and Newton didn't have the math to back up their ideas. But how many people realize that physics can be used to produce many...

**The Irrationals: A Story of the Numbers You Can't Count On**

*Julian Havil*

**An entertaining and enlightening history of irrational numbers, from ancient Greece to the twenty-first century**

**Life's Engines: How Microbes Made Earth Habitable**

*Paul G. Falkowski*

**The marvelous microbes that made life on Earth possible and support our very existence**

**Games for Your Mind: The History and Future of Logic Puzzles**

*Jason Rosenhouse*

**A lively and engaging look at logic puzzles and their role in mathematics, philosophy, and recreation**

**In Pursuit of Zeta-3: The World's Most Mysterious Unsolved Math Problem**

*Paul J. Nahin*

**An engrossing look at the history and importance of a centuries-old but still unanswered math problem**

**Dark Data: Why What You Don’t Know Matters**

*David J. Hand*

**A practical guide to making good decisions in a world of missing data**

**Hot Molecules, Cold Electrons: From the Mathematics of Heat to the Development of the Trans-Atlantic Telegraph Cable**

*Paul J. Nahin*

**An entertaining mathematical exploration of the heat equation and its role in the triumphant development of the trans-Atlantic telegraph cable**

**Totally Nonnegative Matrices**

*Shaun M. Fallat and Charles R. Johnson*

Totally nonnegative matrices arise in a remarkable variety of mathematical applications. This book is a comprehensive and self-contained study of the essential theory of totally nonnegative matrices, defined by the nonnegativity of all...

**Henri Poincaré: A Scientific Biography**

*Jeremy Gray*

**A comprehensive look at the mathematics, physics, and philosophy of Henri Poincaré**

**Plato's Ghost: The Modernist Transformation of Mathematics**

*Jeremy Gray*

*Plato's Ghost* is the first book to examine the development of mathematics from 1880 to 1920 as a modernist transformation similar to those in art, literature, and music. Jeremy Gray traces the growth of mathematical modernism from its...

**Validated Numerics: A Short Introduction to Rigorous Computations**

*Warwick Tucker*

**A comprehensive, self-contained primer on validated numerics**

**The Murder of Professor Schlick: The Rise and Fall of the Vienna Circle**

*David Edmonds*

**From the author of Wittgenstein's Poker and Would You Kill the Fat Man?, the story of an extraordinary group of philosophers during a dark chapter in Europe's history**

**The Joy of Science**

*Jim Al-Khalili*

**Quantum physicist, New York Times bestselling author, and BBC host Jim Al-Khalili reveals how 8 lessons from the heart of science can help you get the most out of life**

**"You Are Not Expected to Understand This": How 26 Lines of Code Changed the World**

*Edited by Torie Bosch*

**Leading technologists, historians, and journalists reveal the stories behind the computer coding that touches all aspects of life—for better or worse**

**A Field Guide to Grad School: Uncovering the Hidden Curriculum**

*Jessica McCrory Calarco*

**An essential handbook to the unwritten and often unspoken knowledge and skills you need to succeed in grad school**

**Super Courses: The Future of Teaching and Learning**

*Ken Bain*

**From the bestselling author of What the Best College Teachers Do, the story of a new breed of amazingly innovative courses that inspire students and improve learning**

**The Secret Syllabus: A Guide to the Unwritten Rules of College Success**

*Jay Phelan and Terry Burnham*

**The unwritten rules of success that every student must follow to thrive in college**

**How to Solve It: A New Aspect of Mathematical Method**

*G. Polya*

A perennial bestseller by eminent mathematician G. Polya, *How to Solve It* will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding...

**The 5 Elements of Effective Thinking**

*Edward B. Burger and Michael Starbird*

**Simple but powerful strategies for increasing your success by improving your thinking**

**The Princeton Companion to Applied Mathematics**

*Edited by Nicholas J. Higham*

**The must-have compendium on applied mathematics**

**The Princeton Companion to Mathematics**

*Edited by Timothy Gowers, June Barrow-Green, and Imre Leader*

This is a one-of-a-kind reference for anyone with a serious interest in mathematics. Edited by Timothy Gowers, a recipient of the Fields Medal, it presents nearly two hundred entries, written especially for this book by some of the...

**Guesstimation 2.0: Solving Today's Problems on the Back of a Napkin**

*Lawrence Weinstein*

**Simple and effective techniques for quickly estimating virtually anything**

**A Mathematical Nature Walk**

*John A. Adam*

How heavy is that cloud? Why can you see farther in rain than in fog? Why are the droplets on that spider web spaced apart so evenly? If you have ever asked questions like these while outdoors, and wondered how you might figure out the...

**Complexities: Women in Mathematics**

*Edited by Bettye Anne Case and Anne M. Leggett*

Sophie Germain taught herself mathematics by candlelight, huddled in her bedclothes. Ada Byron Lovelace anticipated aspects of general-purpose digital computing by more than a century. Cora Ratto de Sadosky advanced messages of...

**Mathematics and Art: A Cultural History**

*Lynn Gamwell*

**A cultural history of the links between mathematics and art, from antiquity to today**

**The Calculus of Happiness: How a Mathematical Approach to Life Adds Up to Health, Wealth, and Love**

*Oscar Fernandez*

**How math holds the keys to improving one’s health, wealth, and love life**

**Zombies and Calculus**

*Colin Adams*

**A novel that uses calculus to help you survive a zombie apocalypse**

**Honors Calculus**

*Charles R. MacCluer*

This is the first modern calculus book to be organized axiomatically and to survey the subject's applicability to science and engineering. A challenging exposition of calculus in the European style, it is an excellent text for a...

**The Calculus of Friendship: What a Teacher and a Student Learned about Life while Corresponding about Math**

*Steven Strogatz*

*The Calculus of Friendship* is the story of an extraordinary connection between a teacher and a student, as chronicled through more than thirty years of letters between them. What makes their relationship unique is that it is based...

**The Calculus Lifesaver: All the Tools You Need to Excel at Calculus**

*Adrian Banner*

For many students, calculus can be the most mystifying and frustrating course they will ever take. *The Calculus Lifesaver* provides students with the essential tools they need not only to learn calculus, but to excel at it.

All of the...

**Calculus of Variations and Optimal Control Theory: A Concise Introduction**

*Daniel Liberzon*

This textbook offers a concise yet rigorous introduction to calculus of variations and optimal control theory, and is a self-contained resource for graduate students in engineering, applied mathematics, and related subjects. Designed...

**Calculus Simplified**

*Oscar Fernandez*

**An accessible, streamlined, and user-friendly approach to calculus**

**Everyday Calculus: Discovering the Hidden Math All around Us**

*Oscar Fernandez*

**A fun look at calculus in our everyday lives**

**The Calculus Gallery: Masterpieces from Newton to Lebesgue**

*William Dunham*More than three centuries after its creation, calculus remains a dazzling intellectual achievement and the gateway to higher mathematics. This book charts its growth and development by sampling from the work of some of its foremost...