Introduction to Discrete Dynamical Systems and Chaos

Informationen zum Autor MARIO MARTELLI, PhD, is Professor of Mathematics at California State University at Fullerton. Klappentext 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) Zusammenfassung 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. Inhaltsverzeichnis Discrete Dynamical Systems. One-Dimensional Dynamical Systems. R¯q, Matrices, and Functions. Discrete Linear Dynamical Systems. Nonlinear Dynamical Systems. Chaotic Behavior. Analysis of Four Dynamical Systems. Appendices. Index.

List of contents

Discrete Dynamical Systems.
 
One-Dimensional Dynamical Systems.
 
R¯q, Matrices, and Functions.
 
Discrete Linear Dynamical Systems.
 
Nonlinear Dynamical Systems.
 
Chaotic Behavior.
 
Analysis of Four Dynamical Systems.
 
Appendices.
 
Index.

Report

"From the preface: The purpose of this book is to present the fundamental ideas on discrete dynamical systems and chaos at the level of those undergraduates...who have completed the standard calculus sequence, with the inclusion of functions of several variables and linear algebra. " (Mathematical Reviews, Issue 2001k)

Product details

• Authors: Martelli, M Martelli, M. Martelli, Mario Martelli, Mario (California State University Martelli, MARTELLI MARIO
• Publisher: Wiley, John and Sons Ltd
• Languages: English
• Product format: Hardback
• Released: 11.10.1999
• EAN: 9780471319757
• ISBN: 978-0-471-31975-7
• No. of pages: 344
• Series: Wiley-Interscience Series in Discrete Mathematics and Optimization; Wiley-Interscience Series in D; Wiley Series in Discrete Mathematics and Optimization; Wiley-Interscience Series in Discrete Mathematics and Optimization
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Probability theory, stochastic theory, mathematical statistics; Non-fiction book > Dictionaries, reference works > Miscellaneous; Mathematik, Chaos, Diskrete Mathematik, Mathematics, Discrete Mathematics, Chaos, Fraktale u. dynamische Systeme, Chaos / Fractal / Dynamical Systems, Dynamisches System (Math.), Mathematik / Sonstiges, Chaotisches System