Invitation to Dynamical Systems

Overview


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, ...
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Invitation to Dynamical Systems

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Overview


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.
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Editorial Reviews

Booknews
A textbook on dynamical systems, for sophomore-junior level students who want to continue exploring mathematics beyond linear algebra, but who may not be ready for highly abstract material. It presents both the "classical" theory of linear systems and the "modern" theory of nonlinear and chaotic systems; works with both continuous and discrete time systems; integrates computing into the text; and includes a wide variety of topics, such as bifurcation, symbolic dynamics, fractals, and complex systems. A collection of programs written in MATLAB is available as a supplement. Four stunning color plates (2pp.). Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9780486485942
  • Publisher: Dover Publications
  • Publication date: 2/15/2012
  • Series: Dover Books on Mathematics Series
  • Edition description: Reprint
  • Pages: 408
  • Sales rank: 1,428,195
  • Product dimensions: 7.40 (w) x 9.00 (h) x 0.90 (d)

Table of Contents


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
 
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