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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.
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.
Reprint of the Prentice-Hall Inc., Upper Saddle River, New Jersey, 1996 edition.
mathematical studies; math and science; mathematics; dynamical systems; science; geometry; mathematical systems; complex systems; self study; introduction to advanced mathematics; dynamics; geometry and intuition; symbolic systems; classical theory of linear systems; modern theory; operating systems; engaging; career; realistic; scientists; science and math; theoretical; school; students and teachers; dynamical system; linear system; nonlinear system; fractals; Matlab$9.43
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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.
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.
Reprint of the Prentice-Hall Inc., Upper Saddle River, New Jersey, 1996 edition.
mathematical studies; math and science; mathematics; dynamical systems; science; geometry; mathematical systems; complex systems; self study; introduction to advanced mathematics; dynamics; geometry and intuition; symbolic systems; classical theory of linear systems; modern theory; operating systems; engaging; career; realistic; scientists; science and math; theoretical; school; students and teachers; dynamical system; linear system; nonlinear system; fractals; Matlab
