Stephen Smale: The Mathematician Who Broke the Dimension Barrier

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In 1957 Stephen Smale startled the mathematical world by showing that, in a theoretical sense, it is possible to turn a sphere inside out. A few years later, from the beaches of Rio, he introduced the horseshoe map, demonstrating that simple functions could have chaotic dynamics. His next stunning 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 most ...

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

ISBN-13: 9780821820452

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