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Invitation to Dynamical Systems: A Rational Approach to the Theory of Graphs: Dover Books on Mathematics

Autor Edward R. Scheinerman
en Limba Engleză Paperback – 31 ian 2012
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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Specificații

ISBN-13: 9780486485942
ISBN-10: 0486485943
Pagini: 373
Ilustrații: black & white illustrations, black & white tables, figures
Dimensiuni: 188 x 229 x 20 mm
Greutate: 0.59 kg
Ediția:Dover.
Editura: Dover Publications
Seria Dover Books on Mathematics


Cuprins

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