Tales of Impossibility [Richeson]

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Tales of Impossibility: The 2000-Year Quest to Solve the Mathematical Problems of Antiquity
David S. Richeson

Summary

Tales of Impossibility: The 2000-Year Quest to Solve the Mathematical Problems of Antiquity by David S. Richeson tells the fascinating story of how four ancient Greek mathematical challenges — squaring the circle, trisecting an angle, doubling the cube, and constructing certain regular polygons — puzzled mathematicians for more than two thousand years before being proven impossible with only a compass and straightedge.

The book is not just about failed attempts; it shows how these “impossible” problems actually pushed mathematics forward, leading to major discoveries in algebra, geometry, number theory, and the understanding of irrational and transcendental numbers. Through the stories of great thinkers like Euclid, Archimedes, Descartes, Newton, Gauss, and lesser-known figures who finally solved the mystery, Richeson presents mathematics as a human adventure full of curiosity, creativity, mistakes, and breakthroughs. 

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