Celestial Encounters - Couverture souple

Diacu, Florin

Couverture souple

ISBN 10 : 0691005451 ISBN 13 : 9780691005454

Editeur : Princeton University Press, 1999

Synopsis

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.

A propos du livre

À propos de l?auteur

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.

Détails de l'édition

• Éditeur: Princeton University Press
• Date d'édition: 1999
• Langue: anglais
• ISBN 10: 0691005451
• ISBN 13: 9780691005454
• Reliure: Broché
• Nombre de pages: 256
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible