Invitation to Dynamical Systems Contributor(s): Scheinerman, Edward R. (Author) |
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ISBN: 0486485943 ISBN-13: 9780486485942 Publisher: Dover Publications OUR PRICE: $25.60 Product Type: Paperback - Other Formats Published: February 2012 |
Additional Information |
BISAC Categories: - Science | Mechanics - Dynamics - Mathematics | Geometry - General - Science | Chaotic Behavior In Systems |
Dewey: 003.85 |
LCCN: 2011027234 |
Series: Dover Books on Mathematics |
Physical Information: 0.8" H x 7.4" W x 9" (1.30 lbs) 408 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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. |