Introduction to Discrete Dynamical Systems and Chaos (Hardcover)

Mario Martelli

ISBN 10: 0471319759 / ISBN 13: 9780471319757

Edité par John Wiley & Sons Inc, New York, 1999

A propos de cet article

Hardcover. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9780471319757

Détails bibliographiques

Titre : Introduction to Discrete Dynamical Systems ...

Éditeur : John Wiley & Sons Inc, New York

Date d'édition : 1999

Reliure : Hardcover

Etat : new

Edition : Edition originale

A propos de ce titre

Synopsis :

Dynamische Systeme und Chaos - diese Gebiete sind längst nicht mehr nur für Mathematiker interessant, sondern gewinnen an interdisziplinärer Bedeutung zur Erklärung unerwarteten Verhaltens dynamischer Prozesse in Physik, Chemie, Biologie, Medizin, Technik und Wirtschaft. Die wichtigsten grundlegenden Ideen, Definitionen und Ergebnisse auf diesem Gebiet werden in diesem Buch dargestellt. Dabei geht der Autor von den mathematischen Aspekten der Theorien aus, behandelt aber durchgängig auch Beispiele aus allen angeführten Wissenschaftsbereichen. (07/99)

À propos de l?auteur:

MARIO MARTELLI, PhD, is Professor of Mathematics at California State University at Fullerton.