Mathematics

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

How a modern radio works, told through mathematics, history, and selected puzzles
Making Democracy Count Making Democracy Count: How Mathematics Improves Voting, Electoral Maps, and Representation Ismar Volić

How we can repair our democracy by rebuilding the mechanisms that power it
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 abstract mathematics to the human stage
Classical Probability in the Enlightenment, New Edition Classical Probability in the Enlightenment, New Edition Lorraine Daston

An award-winning history of the Enlightenment quest to devise a mathematical model of rationality
The Story of Proof The Story of Proof: Logic and the History of Mathematics John Stillwell

How the concept of proof has enabled the creation of mathematical knowledge
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
Graph Theory in America 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 New Era in American Mathematics, 1920–1950 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
Sourcebook in the Mathematics of Ancient Greece and the Eastern Mediterranean Sourcebook in the Mathematics of Ancient Greece and the Eastern Mediterranean Victor J. Katz

An invaluable reference book on the mathematics of Greek antiquity
Encounters with Euclid Encounters with Euclid: How an Ancient Greek Geometry Text Shaped the World Benjamin Wardhaugh

A sweeping cultural history of one of the most influential mathematical books ever written
In Pursuit of Zeta-3 In Pursuit of Zeta-3: The World's Most Mysterious Unsolved Math Problem Paul Nahin

An engrossing look at the history and importance of a centuries-old but still unanswered math problem
Games for Your Mind 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
Hot Molecules, Cold Electrons Hot Molecules, Cold Electrons: From the Mathematics of Heat to the Development of the Trans-Atlantic Telegraph Cable Paul Nahin

An entertaining mathematical exploration of the heat equation and its role in the triumphant development of the trans-Atlantic telegraph cable
Dark Data 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
Henri Poincaré Henri Poincaré: A Scientific Biography Jeremy Gray

A comprehensive look at the mathematics, physics, and philosophy of Henri Poincaré
Plato's Ghost 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 Validated Numerics: A Short Introduction to Rigorous Computations Warwick Tucker

A comprehensive, self-contained primer on validated numerics
Instability and Non-uniqueness for the 2D Euler Equations, after M. Vishik Instability and Non-uniqueness for the 2D Euler Equations, after M. Vishik: (AMS-219) Camillo De Lellis, Elia Brué, Dallas Albritton, Maria Colombo, Vikram Giri, Maximilian Janisch, and Hyunju Kwon

An essential companion to M. Vishik’s groundbreaking work in fluid mechanics
Intermittent Convex Integration for the 3D Euler Equations Intermittent Convex Integration for the 3D Euler Equations: (AMS-217) Tristan Buckmaster, Nader Masmoudi, Matthew Novack, and Vlad Vicol

A new threshold for the existence of weak solutions to the incompressible Euler equations
Comparison Principles for General Potential Theories and PDEs Comparison Principles for General Potential Theories and PDEs: (AMS-218) Marco Cirant, F. Reese Harvey, H. Blaine Lawson, and Kevin R. Payne

An examination of the symbiotic and productive relationship between fully nonlinear partial differential equations and generalized potential theories