Euler's Gem: The Polyhedron Formula and the Birth of Topology
ISBN: 0691154570
EAN13: 9780691154572
Language: English
Publication Date: Apr 15, 2012
Pages: 336
Dimensions: 0.9" H x 9.2" L x 6" W
Weight: 1.15 lbs.
Format: Paperback

Euler's Gem: The Polyhedron Formula and the Birth of Topology

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Book Overview

Euler's Gem is a thoroughly satisfying meditation on one of mathematics' loveliest formulas. The author begins with Euler's act of seeing what no one previously had, and returns repeatedly to the resulting formula with ever more careful emendations and ever-widening points of view. This highly nuanced narrative sweeps the reader into the cascade of interlocking ideas which undergird modern topology and lend it its power and beauty.--Donal O'Shea, author of The Poincare Conjecture: In Search of the Shape of the Universe

Beginning with Euler's famous polyhedron formula, continuing to modern concepts of 'rubber geometry, ' and advancing all the way to the proof of Poincare's Conjecture, Richeson's well-written and well-illustrated book is a gentle tour de force of topology.--George G. Szpiro, author of Poincare's Prize: The Hundred-Year Quest to Solve One of Math's Greatest Puzzles

A fascinating and accessible excursion through two thousand years of mathematics. From Plato's Academy, via the bridges of Konigsberg, to the world of knots, soccer balls, and geodesic domes, the author's enthusiasm shines through. This attractive introduction to the origins of topology deserves to be widely read.--Robin Wilson, author of Four Colors Suffice: How the Map Problem Was Solved

Appealing and accessible to a general Read More chevron_right

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