Mathematics
How a modern radio works, told through mathematics, history, and selected puzzles
How we can repair our democracy by rebuilding the mechanisms that power it
How playwrights from Alfred Jarry and Samuel Beckett to Tom Stoppard and Simon McBurney brought the power of abstract mathematics to the human stage
An award-winning history of the Enlightenment quest to devise a mathematical model of rationality
How the concept of proof has enabled the creation of mathematical knowledge
A fascinating exploration of the pentagon and its role in various cultures
How a new mathematical field grew and matured in America
A meticulously researched history on the development of American mathematics in the three decades following World War I
An invaluable reference book on the mathematics of Greek antiquity
A sweeping cultural history of one of the most influential mathematical books ever written
An engrossing look at the history and importance of a centuries-old but still unanswered math problem
A lively and engaging look at logic puzzles and their role in mathematics, philosophy, and recreation
An entertaining mathematical exploration of the heat equation and its role in the triumphant development of the trans-Atlantic telegraph cable
A practical guide to making good decisions in a world of missing data
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
An essential companion to M. Vishik’s groundbreaking work in fluid mechanics
A new threshold for the existence of weak solutions to the incompressible Euler equations
An examination of the symbiotic and productive relationship between fully nonlinear partial differential equations and generalized potential theories
A pioneering new nonlinear approach to a fundamental question in algebraic geometry
A foundational account of a new construction in the p-adic Langlands correspondence
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
An inviting, intuitive, and visual exploration of differential geometry and forms
Real Analysis is the third volume in the Princeton Lectures in Analysis, a series of four textbooks that aim to present, in an integrated manner, the core areas of analysis. Here the focus is on the development of measure and...
With this second volume, we enter the intriguing world of complex analysis. From the first theorems on, the elegance and sweep of the results is evident. The starting point is the simple idea of extending a function initially given for...
This is the fourth and final volume in the Princeton Lectures in Analysis, a series of textbooks that aim to present, in an integrated manner, the core areas of analysis. Beginning with the basic facts of functional analysis, this...
This first volume, a three-part introduction to the subject, is intended for students with a beginning knowledge of mathematical analysis who are motivated to discover the ideas that shape Fourier analysis. It begins with the simple...
How to use math to improve performance and predict outcomes in professional sports
An authoritative, up-to-date graduate textbook on machine learning that highlights its historical context and societal impacts
An essential introduction to statistics for students of psychology and the social sciences
An engaging introduction to data science that emphasizes critical thinking over statistical techniques
The essential introduction to computational science—now fully updated and expanded
A rigorous and comprehensive introduction to numerical analysis
An introductory text on the analysis, control, and estimation of nonlinear systems, appropriate for advanced undergraduate and graduate students
A hands-on approach to quantitative reasoning in the life sciences
A hands-on lab guide in the R programming language that enables students in the life sciences to reason quantitatively about living systems across scales
A hands-on lab guide in the Python programming language that enables students in the life sciences to reason quantitatively about living systems across scales
A hands-on lab guide in the MATLAB programming language that enables students in the life sciences to reason quantitatively about living systems across scales
A comprehensive introduction to mathematical and agent-based modeling of social behavior
An accessible, streamlined, and user-friendly approach to calculus
A fun look at calculus in our everyday lives
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...
The must-have compendium on applied mathematics
The bestselling book that has helped millions of readers solve any problem
Simple but powerful strategies for increasing your success by improving your thinking
An entertaining and enlightening history of irrational numbers, from ancient Greece to the twenty-first century
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...
Leading technologists, historians, and journalists reveal the stories behind the computer coding that touches all aspects of life—for better or worse
The marvelous microbes that made life on Earth possible and support our very existence
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
An essential handbook to the unwritten and often unspoken knowledge and skills you need to succeed in grad school
The unwritten rules of success that every student must follow to thrive in college