Mathematics

How a new mathematical field grew and matured in America

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

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

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

The year’s finest mathematical writing from around the world

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

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

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

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

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

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

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

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

New mathematical research in arithmetic dynamics

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

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

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...

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

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...

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

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

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

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

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

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

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...

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

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...

A comprehensive, self-contained primer on validated numerics

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

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

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

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

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

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...

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

The must-have compendium on applied mathematics

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...

Simple and effective techniques for quickly estimating virtually anything

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...

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...

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

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

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

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 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...

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...

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...

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

A fun look at calculus in our everyday lives