Fermat's Enigma by Simon Singh — book cover
Fermat's last theorem · mathematics · number theory

Fermat's Enigma by Simon Singh — Summary, Key Ideas & Quotes

1997338 pages3-min Big ideas4.0 (24)
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What is Fermat's Enigma about?

xn + yn = zn, where n represents 3, 4, 5, ...no solution "I have discovered a truly marvelous demonstration of this proposition which this margin is too narrow to contain." With these words, the seventeenth-century French mathematician Pierre de Fermat threw down the gauntlet to future generations. What came to be known as Fermat's Last Theorem looked simple; proving it, however, became the Holy Grail of mathematics, baffling its finest minds for more than 350 years. In Fermat's Enigma--based on the author's award-winning documentary film, which aired on PBS's "Nova"--Simon Singh tells the astonishingly entertaining story of the pursuit of that grail, and the lives that were devoted to, sacrificed for, and saved by it. Here is a mesmerizing tale of heartbreak and mastery that will forever change your feelings about mathematics.

A glimpse inside

Illustration for Fermat's Enigma
The Allure of Fermat’s Last Theorem

At the heart of the book is the deceptively simple equation left by Pierre de Fermat, which challenged mathematicians for over three centuries. Singh explores why this problem became such a legendary quest: its simplicity made it approachable, yet its proof remained elusive, haunting generations. The theorem’s mystique lies in its blend of accessibility and intractability, symbolizing the tantalizing beauty of pure mathematics.

Mathematics as a Human Endeavor

Singh emphasizes that mathematics is not a cold, detached pursuit, but a deeply human activity filled with passion, rivalry, heartbreak, and triumph. Through vivid portraits of mathematicians—from Fermat and Euler to Sophie Germain and Andrew Wiles—the book reveals how personal stories intertwine with mathematical discovery, showing the emotional stakes and sacrifices behind intellectual breakthroughs.

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4.0 / 5
24 ratings
Google Books
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Get smart in 3 min
6 key ideas, distilled
  1. 1The Allure of Fermat’s Last Theorem
  2. 2Mathematics as a Human Endeavor
  3. 3The Evolution of Mathematical Thought
  4. 4The Power of Obsession and Perseverance
  5. 5Mathematics Made Accessible

Popular quotes from Fermat's Enigma

I have discovered a truly marvelous demonstration of this proposition which this margin is too narrow to contain.

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xn + yn = zn, where n represents 3, 4, 5, ...no solution "I have discovered a truly marvelous demonstration of this proposition which this margin is too narrow to contain." With these words, the seventeenth-century French mathematician Pierre de Fermat threw down the gauntlet to future generations. What came to be known as Fermat's Last Theorem looked simple; proving it, however, became the Holy G