Dynamical Systems with Applications Using Mathematica  by Stephen Lynch

Dynamical Systems with Applications Using Mathematica

Publisher:

Birkhauser Verlag GmbH

Publication Date:

01-01-2007

ISBN:

9780817645861

Pages:

xv, 484

Subjects:

Differentiable Dynamical Systems

Mathematica (computer Program)

Available as:

Electronic book text, 9780817645861

Undefined, 9780817671204

Description:

The book provides an introduction to the theory of dynamical systems with the aid of the Mathematica computer algebra package. It has a very hands-on approach and takes the reader from basic theory to recently published research material. Emphasized throughout are numerous applications to biology, chemical kinetics, economics, electronics, epidemiology, nonlinear optics, mechanics, population dynamics, and neural networks. Mathematicas symbolic, numerical, and graphical capabilities make it ideal for the study of nonlinear dynamical systems. An introductory chapter provides complete tutorials on how to use Mathematicas text-based input commands and palettes, enabling new users to become familiar with the program, while providing a good reference source for experts. Working Mathematica notebooks will be available at http://library.wolfram.com/infocenter/Books/AppliedMathematics/. Throughout the book, the author has focused on breadth of coverage rather than fine detail, with theorems and proofs being kept to a minimum. The first part of the book deals with continuous systems using ordinary differential equations, while the second part is devoted to the study of discrete dynamical systems. Some of the material presented is at the postgraduate level and has been influenced by the authors own research interests. Exercises are included at the end of every chapter. A comprehensive bibliography including textbooks and research papers rounds out the work. The book is intended for senior undergraduate and graduate students as well as working scientists in applied mathematics, the natural sciences, and engineering. Many chapters of the book are especially useful as reference material for senior undergraduate independent project work. Also by the author: Dynamical Systems with Applications using MATLABĀ®, ISBN 978-0-8176-4321-8; Dynamical Systems with Applications usingMaple, ISBN 978-0-8176-4150-4
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