Invitation to Dynamical Systems

Edward Scheinerman, R. Furth

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English

Dover
15 February 2012

Cybernetics & systems theory; Mathematics & Sciences; Chaos theory; Dynamics & statics

Series: Dover Books on Mathema 1.4tics

"Designed for those wishing to study mathematics beyond linear algebra but unready for abstract material, this """"invitation"""" to the excitement of dynamical systems appeals to readers from a wide range of backgrounds. Rather than taking a theorem-proof-corollary-remark approach, it stresses geometry and intuition. Topics include both the classical theory of linear systems and the modern theory of nonlinear and chaotic systems as well as bifurcation, symbolic dynamics, fractals, and complex systems.

In addition to offering a unified presentation of continuous and discrete time systems, this treatment integrates computing comfortably into the text. Appendixes feature important background material, including a gentle introduction to differential equations and explanations of how to write MATLAB, Mathematica, and C programs to compute dynamical systems. Prerequisites for advanced undergraduates and graduate students include two semesters of calculus and one semester of linear algebra."

By: Edward Scheinerman, R. Furth
Imprint: Dover
Country of Publication: United States
Dimensions: Height: 232mm, Width: 191mm, Spine: 18mm
Weight: 540g
ISBN: 9780486485942
ISBN 10: 0486485943
Series: Dover Books on Mathema 1.4tics
Pages: 408
Publication Date: 15 February 2012
Audience: General/trade , ELT Advanced
Format: Paperback
Publisher's Status: Unspecified

Preface 1. Introduction 2. Linear Systems 3. Nonlinear Systems 1: Fixed Points 4. Nonlinear Systems 2: Periodicity and Chaos 5. Fractals 6. Complex Dynamical Systems Appendix A. Background Material Appendix B. Computing Bibliography Index