A Survey of Nonlinear Dynamics (Chaos Theory)

Ingraham, Richard L

ISBN 10: 9810207778 / ISBN 13: 9789810207779

Verlag: World Scientific Publishing Comp, 1991

Beschreibung

Fast Shipping - Safe and Secure 7 days a week!

Bestandsnummer des Verkäufers 3TWOWA001RKM

Bibliografische Details

• Titel: A Survey of Nonlinear Dynamics (Chaos Theory)
• Verlag: World Scientific Publishing Comp
• Erscheinungsjahr: 1991
• Sprache: Englisch
• ISBN-10: 9810207778
• ISBN-13: 9789810207779
• Einband: hardcover
• Zustand: Very Good

Über diesen Titel

Inhaltsangabe

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.

Críticas

"This book gives a survey of the whole field of nonlinear dynamics (or "chaos theory") in compressed form. The author states the key definitions and theorems carefully. The book is very short, but its content is comprehensive. This book makes it possible for the reader to understand the main ideas in nonlinear dynamics and to proceed to further research along the lines of the cited literature." Si Ming Zhu Mathematical Reviews