Stephen Smale: The Mathematician Who Broke the Dimension Barrier

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In 1957, Stephen Smale startled the mathematical world by showing that it is possible to turn a sphere inside out without cutting, tearing, or crimping. A few years later, from the beaches of Rio, he introduced the horseshoe map, demonstrating that simple functions could have chaotic dynamics. His next mathematical accomplishment was to solve the higher-dimensional Poincare conjecture, thus demonstrating that higher dimensions are simpler than the more familiar three. In 1966 in Moscow, he was awarded the Fields Medal, the ...

Stephen Smale: The Mathematician Who Broke the Dimension Barrier 2000, American Mathematical Society

ISBN-13: 9780821820452

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