Celestial Encounters: The Origins of Chaos and Stability: 22 (Princeton Science Library) - Softcover

Diacu, Florin

 
9780691005454: Celestial Encounters: The Origins of Chaos and Stability: 22 (Princeton Science Library)
Softcover
ISBN 10: 0691005451 ISBN 13: 9780691005454
Verlag: Princeton University Press, 1999

Inhaltsangabe

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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Über die Autorin bzw. den Autor

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.

Von der hinteren Coverseite

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

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Verlag
Princeton University Press
Erscheinungsdatum
1999
Sprache
Englisch
ISBN 10 
0691005451
ISBN 13 
9780691005454
Einband
Tapa blanda
Anzahl der Seiten
256
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Nicht verfügbar

Weitere beliebte Ausgaben desselben Titels

9780691027432: Celestial Encounters: The Origins of Chaos and Stability (Princeton Science Library)

Vorgestellte Ausgabe

ISBN 10:  0691027439 ISBN 13:  9780691027432
Verlag: Princeton University Press, 1996
Hardcover