Celestial Encounters: The Origins of Chaos and Stability - Rilegato

Libro 47 di 61: Princeton Science Library

Diacu, Florin; Holmes, Philip

 
9780691027432: Celestial Encounters: The Origins of Chaos and Stability

Sinossi

Celestial Encounters is for anyone who has ever wondered about the foundations of chaos. In 1888, the 34-year-old Henri Poincaré submitted a paper that was to change the course of science, but not before it underwent significant changes itself. "The Three-Body Problem and the Equations of Dynamics" won a prize sponsored by King Oscar II of Sweden and Norway and the journal Acta Mathematica, but after accepting the prize, Poincaré found a serious mistake in his work. While correcting it, he discovered the phenomenon of chaos.


Starting with the story of Poincaré's work, Florin Diacu and Philip Holmes trace the history of attempts to solve the problems of celestial mechanics first posed in Isaac Newton's Principia in 1686. In describing how mathematical rigor was brought to bear on one of our oldest fascinations--the motions of the heavens--they introduce the people whose ideas led to the flourishing field now called nonlinear dynamics.


In presenting the modern theory of dynamical systems, the models underlying much of modern science are described pictorially, using the geometrical language invented by Poincaré. More generally, the authors reflect on mathematical creativity and the roles that chance encounters, politics, and circumstance play in it.

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Informazioni sull?autore

Florin Diacu is Associate Professor of Mathematics at the University of Victoria in Canada. Philip Holmes, a Fellow of the American Academy of Arts and Sciences, is Professor of Mechanics and Applied Mathematics at Princeton University, where he directs the Program in Applied and Computational Mathematics.

Dalla quarta di copertina

"An excellent book combining scientific integrity and popular appeal."--Steve Smale, City University of Hong Kong

Dal risvolto di copertina interno

"An excellent book combining scientific integrity and popular appeal."--Steve Smale, City University of Hong Kong

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Altre edizioni note dello stesso titolo

9780691005454: Celestial Encounters: The Orgins of Chaos and Stability

Edizione in evidenza

ISBN 10:  0691005451 ISBN 13:  9780691005454
Casa editrice: Princeton University Press, 1999
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