INVITATION TO DYNAMICAL SYSTEMS

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.