Mathematics

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Optimization and Learning via Stochastic Gradient Search Optimization and Learning via Stochastic Gradient Search Felisa Vázquez-Abad and Bernd Heidergott

An introduction to gradient-based stochastic optimization that integrates theory and implementation

The Doctrine of Triangles The Doctrine of Triangles: A History of Modern Trigonometry Glen Van Brummelen

An interdisciplinary history of trigonometry from the mid-sixteenth century to the early twentieth

Adelic Line Bundles on Quasi-Projective Varieties Adelic Line Bundles on Quasi-Projective Varieties Xinyi Yuan and Shou-Wu Zhang

A comprehensive new theory of adelic line bundles on quasi-projective varieties over finitely generated fields

The Rising Sea The Rising Sea: Foundations of Algebraic Geometry Ravi Vakil

An accessible, motivated introduction to one of the most dynamic areas of mathematics

The Football The Football: The Amazing Mathematics of the World's Most Watched Object Étienne Ghys

An illustration-packed dive into the geometry, engineering, and physics of soccer balls

The Proof Stage 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 mathematics to life on the stage

The Mathematical Radio The Mathematical Radio: Inside the Magic of AM, FM, and Single-Sideband Paul J. Nahin

How a modern radio works, told through mathematics, history, and selected puzzles

Pentagons and Pentagrams Pentagons and Pentagrams: An Illustrated History Eli Maor and Eugen Jost

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

The Essential Einstein: Public Writings The Essential Einstein: Public Writings Albert Einstein

The ultimate collection of Einstein’s public writings on everything from religion and art to pacifism and the atomic bomb

The Essential Einstein: Scientific Writings The Essential Einstein: Scientific Writings Albert Einstein

The ultimate collection of Einstein’s scientific writings on everything from statistical mechanics to general relativity

AI Snake Oil AI Snake Oil: What Artificial Intelligence Can Do, What It Can’t, and How to Tell the Difference Arvind Narayanan and Sayash Kapoor

From two of °Õ±õ²Ñ·¡â€™s 100 Most Influential People in AI, what you need to know about AI—and how to defend yourself against bogus AI claims and products

Python Practice Lab Python Practice Lab: Learn How to Code through Interactive Examples Angelica Lim and Victor Cheung

A guide to learning basic programming by writing fun, working programs that gradually become more complex

Theoretical Ecology Theoretical Ecology: Concepts and Models with R Ryan Chisholm

An accessible and wide-ranging introduction to the concepts and tools of theoretical ecology

Quasiperiodic Solutions of the Generalized SQG Equation Quasiperiodic Solutions of the Generalized SQG Equation Javier Gómez-Serrano, Alexandru D. Ionescu, and Jaemin Park

New, broadly applicable, parameter-free techniques for constructing stable quasiperiodic solutions of quasilinear evolution equations

The Delicate Art of Brute Force The Delicate Art of Brute Force: How to Compute It When You Can't Solve It Paul J. Nahin

Using everyday computational power to tackle complex—and seemingly unsolvable—math problems

Reaching for the Extreme Reaching for the Extreme: How the Quest for the Biggest, Fewest, and Weirdest Makes Math Ian Stewart

From bestselling author and mathematician Ian Stewart, the fascinating story of the extreme problems that have driven math forward from antiquity to today

"Stewart has a genius for explanation."—New Scientist

Unlocking Justice Unlocking Justice: The Power of Data to Confront Inequity and Create Change Chad M. Topaz

How we can challenge social injustice—with data and humanity

To Think Like a Statistician To Think Like a Statistician Bradley Efron

Why you don’t need to be a statistician to think like one

Discrete Choice Models Discrete Choice Models: Mathematical Methods, Econometrics, and Data Science Alfred Galichon

A foundational treatment of discrete choice models, with a focus on random utility models

An Introduction to String Algorithms An Introduction to String Algorithms Carl Kingsford

An essential introduction to the building blocks of modern text processing

The Irrational Decision The Irrational Decision: How We Gave Computers the Power to Choose for Us Benjamin Recht

How the computer revolution shaped our conception of rationality—and why human problems require solutions rooted in human intuition, morality, and judgment

The Language of Mathematics The Language of Mathematics: The Stories behind the Symbols Raúl Rojas

A marvelous compendium of mathematical symbols and their fascinating histories

Do Plants Know Math? Do Plants Know Math? Unwinding the Story of Plant Spirals, from Leonardo da Vinci to Now Stéphane Douady, Jacques Dumais, Christophe Golé, and Nancy Pick

A breathtakingly illustrated look at botanical spirals and the scientists who puzzled over them

Sourcebook in the Mathematics of Ancient Greece and the Eastern Mediterranean Sourcebook in the Mathematics of Ancient Greece and the Eastern Mediterranean Edited by Victor J. Katz and Clemency Montelle

An invaluable reference book on the mathematics of Greek antiquity

Leibniz in His World Leibniz in His World: The Making of a Savant Audrey Borowski

A sweeping intellectual biography that restores the Enlightenment polymath to the intellectual, scientific, and courtly worlds that shaped his early life and thought

Fashion, Faith, and Fantasy in the New Physics of the Universe Fashion, Faith, and Fantasy in the New Physics of the Universe Roger Penrose

Nobel Prize–winning physicist Roger Penrose questions some of the most fashionable ideas in physics today, including string theory

Genius at Play Genius at Play: The Curious Mind of John Horton Conway Siobhan Roberts

A multifaceted biography of a brilliant mathematician and iconoclast

The Man Who Saved Geometry The Man Who Saved Geometry: The Multidimensional Mind of Donald Coxeter Siobhan Roberts

An illuminating biography of one of the greatest geometers of the twentieth century

Calculus 2 Simplified Calculus 2 Simplified: Integration and Infinite Series Oscar Fernandez

From the author of Calculus Simplified, an accessible, personalized approach to Calculus 2

The Entrepreneurial Scholar The Entrepreneurial Scholar: A New Mindset for Success in Academia and Beyond Ilana M. Horwitz

An invaluable guide for scholars stifled by the traditional academic route

How to Mentor Anyone in Academia How to Mentor Anyone in Academia Maria LaMonaca Wisdom

A practical guide to the art of mentorship in higher education

The Teacher in the Machine The Teacher in the Machine: A Human History of Education Technology Anne Trumbore

The surprising history of education technology and its political, financial, and social impact on higher education and our world

Exponential Sums, Hypergeometric Sheaves, and Monodromy Groups Exponential Sums, Hypergeometric Sheaves, and Monodromy Groups Nicholas M. Katz and Pham Huu Tiep

An examination of some of the remarkable connections between group theory and arithmetic algebraic geometry over finite fields

Lectures on Kähler Groups Lectures on Kähler Groups Pierre Py

An introduction to the state of the art in the study of Kähler groups

The Physical Nature of Information The Physical Nature of Information: A Short Course Gregory Falkovich

A unified introduction to information theory for scientists

Mathematical Properties of Population-Genetic Statistics Mathematical Properties of Population-Genetic Statistics: Quadratic Forms Most Beautiful Noah A. Rosenberg

A powerful new approach to interpreting population-genetic data in evolution and ecology

Discrete and Computational Geometry, 2nd Edition Discrete and Computational Geometry, 2nd Edition Satyan L. Devadoss and Joseph O'Rourke

The essential introduction to discrete and computational geometry—now fully updated and expanded