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.
General
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