A Survey of Nonlinear Dynamics - Couverture rigide

Ingraham, Richard L

Couverture rigide

ISBN 10 : 9810207778 ISBN 13 : 9789810207779

Editeur : World Scientific Publishing Co Pte Ltd, 1991

Synopsis

This book is intended to give a survey of the whole field of nonlinear dynamics (or "chaos theory") in compressed form. It covers quite a range of topics besides the standard ones, for example, pde dynamics and Galerkin approximations, critical phenomena and renormalization group approach to critical exponents. The many meanings or measures of "chaos" in the literature are summarized. A precise definition of chaos based on a carefully limited sensitive dependence is offered. An application to quantum chaos is made. The treatment does not emphasize mathematical rigor but insists that the crucial concepts and theorems be mathematically well-defined. Thus topology plays a basic role. This alone makes this book unique among short surveys, where the inquisitive reader must usually be satisfied with colorful similes, analogies, and hand-waving arguments.Richard Ingraham graduated with B.S. summa cum laude in mathematics from Harvard college and with M.A. and Ph.D in Physics from Harvard Graduate School. He was granted the Sheldon Prize Traveling Fellowship by Harvard College and was a member of the Institute for Advanced Study at Princeton for two years.

Détails de l'édition

• Éditeur: World Scientific Publishing Co Pte Ltd
• Date d'édition: 1991
• Langue: anglais
• ISBN 10: 9810207778
• ISBN 13: 9789810207779
• Reliure: Relié
• Nombre de pages: 118
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible