Six Math Essentials

by Terence Tao

The “Mozart of mathematics” invites readers on a tour of six core ideas—numbers, algebra, geometry, probability, analysis, and dynamics—that capture the beauty and power of mathematical thinking for everyone.

In Six Math Essentials, the renowned mathematician and Fields Medalist Terence Tao introduces readers to six central concepts that have guided mathematicians from antiquity to the frontiers of what we know numbers as the gateway to quantitative thinking; algebra as the gateway to abstraction; geometry as a way to calculate beyond what we can see; probability as a tool to navigate uncertainty with rigorous thinking; analysis as a means to tame the very large or the very small; and dynamics as the mathematics of change. Six Math Essentials—Tao’s first popular math book—provides a glimpse into the workings of Tao’s incomparable mind and how he thinks about the creativity and interconnectedness of the mathematical enterprise. Contrary to popular perception, math, he insists, isn’t magic—it's a powerful way of thinking that anyone can learn.

Audible Audio

Expected publication October 27, 2026

About the author

Terence "Terry" Tao FAA FRS (simplified Chinese: 陶哲轩; traditional Chinese: 陶哲軒; pinyin: Táo Zhéxuān) is an Australian-American mathematician who has worked in various areas of mathematics. He currently focuses on harmonic analysis, partial differential equations, algebraic combinatorics, arithmetic combinatorics, geometric combinatorics, compressed sensing and analytic number theory. As of 2015, he holds the James and Carol Collins chair in mathematics at the University of California, Los Angeles. Tao was a co-recipient of the 2006 Fields Medal and the 2014 Breakthrough Prize in Mathematics.