Books like The Princeton Companion to Mathematics

01

A Short History of Nearly Everything

Bill Bryson · Science

A Short History of Nearly Everything is Bill Bryson's attempt to understand the scientific story of everything — from the Big Bang to the emergence of modern humans — by spending three years talking to scientists and reading science history.

A kindred science read.

02

How Not to Be Wrong: The Power of Mathematical Thinking

Jordan Ellenberg · Science

Jordan Ellenberg is a research mathematician who writes as if mathematics is something you would want to think about over dinner.

Both dig into mathematics.

03

Surely You're Joking, Mr. Feynman!

Richard P. Feynman · Memoir

Surely You're Joking, Mr.

A kindred science read.

04

The Man Who Knew Infinity

Robert Kanigel · Biography

Srinivasa Ramanujan was born in 1887 in the South Indian town of Erode into a Brahmin family of modest means, received almost no formal mathematical training, and by his mid-twenties had filled notebooks with thousands of mathematical formulas, many of them original results that professional mathematicians would spend decades verifying.

Both dig into mathematics.

05

Zero: The Biography of a Dangerous Idea

Charles Seife · Science

The number zero seems self-evidently harmless, but Charles Seife's history argues that zero has been, at various points, theologically threatening, mathematically subversive, and philosophically destabilizing.

Both dig into mathematics.

06

Is God a Mathematician?

Mario Livio · Science

Mario Livio is an astrophysicist who has spent decades studying galaxies and supernovae, and who has been persistently haunted by a question that comes up whenever mathematics meets physics: why does abstract math, invented centuries before anyone knew it would be needed, keep turning out to perfectly describe physical reality?

Shares mathematics and history of mathematics with The Princeton Companion to Mathematics.

07

Chaos: Making a New Science

James Gleick · Science

Chaos: Making a New Science, published in 1987, tells the story of how a loose network of scientists working across meteorology, mathematics, biology, and physics in the 1960s and 1970s developed chaos theory — the study of systems that are deterministic but unpredictable because tiny differences in initial conditions produce wildly different outcomes.

Both dig into mathematics.

08

Deep Learning

Ian Goodfellow, Yoshua Bengio, and Aaron Courville · Science

Deep Learning by Ian Goodfellow, Yoshua Bengio, and Aaron Courville is the standard graduate-level textbook on the mathematical and computational foundations of deep neural networks.

Both dig into mathematics.

09

Fermat's Enigma

Simon Singh · Science

In 1637, Pierre de Fermat scrawled a note in the margin of a mathematics book claiming to have found a proof that no three positive integers can satisfy the equation a^n + b^n = c^n for any integer value of n greater than 2 — but that the margin was too narrow to contain it.

Both dig into mathematics.

10

Mathematics: Its Content, Methods and Meaning

Aleksandrov, Kolmogorov & Lavrent'ev · Science

Mathematics: Its Content, Methods and Meaning is a three-volume survey of mathematics compiled by a group of eminent Soviet mathematicians, originally published in Russian in 1956 and translated into English by the American Mathematical Society in 1963.

Both dig into mathematics.

11

Our Mathematical Universe

Max Tegmark · Science

Our Mathematical Universe is Max Tegmark's argument for what he calls the Mathematical Universe Hypothesis: the bold claim that the universe is not merely described by mathematics but is a mathematical structure.

Both dig into mathematics.

12

The Code Book: The Science of Secrecy from Ancient Egypt to Quantum Cryptography

Simon Singh · Science

Simon Singh's The Code Book traces the history of cryptography from Caesar's cipher through the breaking of Enigma to the mathematics of public-key encryption and the looming possibility of quantum cryptography.

Both dig into mathematics.