An Introduction to Discrete Dynamical Systems and Chaos

Mario Martelli

ISBN 10: 0471319759 / ISBN 13: 9780471319757

Verlag: John Wiley and Sons Ltd, 1999

This book introduces the reader to the fundamental principles, definitions, and results of dynamical systems and chaos. Rather than relegating chaos to the last chapter in the book, as is usually the case, this work treats chaos as an integral part of dynamical systems theory. Series: Wiley Series in Discrete Mathematics and Optimization. Num Pages: 344 pages, Ill. BIC Classification: PBKJ; PBWS; PDE; TBJ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 241 x 163 x 26. Weight in Grams: 670. . 1999. 1st Edition. Hardcover. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9780471319757

Inhaltsangabe:

A timely, accessible introduction to the mathematics of chaos.

The past three decades have seen dramatic developments in the theory of dynamical systems, particularly regarding the exploration of chaotic behavior. Complex patterns of even simple processes arising in biology, chemistry, physics, engineering, economics, and a host of other disciplines have been investigated, explained, and utilized.

Introduction to Discrete Dynamical Systems and Chaos makes these exciting and important ideas accessible to students and scientists by assuming, as a background, only the standard undergraduate training in calculus and linear algebra. Chaos is introduced at the outset and is then incorporated as an integral part of the theory of discrete dynamical systems in one or more dimensions. Both phase space and parameter space analysis are developed with ample exercises, more than 100 figures, and important practical examples such as the dynamics of atmospheric changes and neural networks.

An appendix provides readers with clear guidelines on how to use Mathematica to explore discrete dynamical systems numerically. Selected programs can also be downloaded from a Wiley ftp site (address in preface). Another appendix lists possible projects that can be assigned for classroom investigation. Based on the author's 1993 book, but boasting at least 60% new, revised, and updated material, the present Introduction to Discrete Dynamical Systems and Chaos is a unique and extremely useful resource for all scientists interested in this active and intensely studied field.

Über die Autorin bzw. den Autor: MARIO MARTELLI, PhD, is Professor of Mathematics at California State University at Fullerton.

Bibliografische Details

Titel: An Introduction to Discrete Dynamical ...
Verlag: John Wiley and Sons Ltd
Erscheinungsdatum: 1999
Einband: Hardcover
Zustand: New