TY - BOOK ID - 213678 TI - Dynamical Systems with Applications using Mathematica® PY - 2007 SN - 0817645861 0817644822 PB - Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, DB - UniCat KW - Mathematics. KW - Mathematical analysis. KW - Analysis (Mathematics). KW - Differential equations. KW - Applied mathematics. KW - Engineering mathematics. KW - Statistical physics. KW - Dynamical systems. KW - Computational intelligence. KW - Analysis. KW - Applications of Mathematics. KW - Ordinary Differential Equations. KW - Statistical Physics, Dynamical Systems and Complexity. KW - Appl.Mathematics/Computational Methods of Engineering. KW - Computational Intelligence. KW - Intelligence, Computational KW - Artificial intelligence KW - Soft computing KW - Dynamical systems KW - Kinetics KW - Mathematics KW - Mechanics, Analytic KW - Force and energy KW - Mechanics KW - Physics KW - Statics KW - Mathematical statistics KW - Engineering KW - Engineering analysis KW - Mathematical analysis KW - 517.91 Differential equations KW - Differential equations KW - 517.1 Mathematical analysis KW - Math KW - Science KW - Statistical methods KW - Mathematica (Computer file) KW - Differentiable dynamical systems KW - Data processing. KW - Differential dynamical systems KW - Dynamical systems, Differentiable KW - Dynamics, Differentiable KW - Global analysis (Mathematics) KW - Topological dynamics KW - Global analysis (Mathematics). KW - Differential Equations. KW - Engineering. KW - Complex Systems. KW - Mathematical and Computational Engineering. KW - Construction KW - Industrial arts KW - Technology KW - Analysis, Global (Mathematics) KW - Differential topology KW - Functions of complex variables KW - Geometry, Algebraic UR - https://www.unicat.be/uniCat?func=search&query=sysid:213678 AB - Dynamical Systems with Applications using Mathematica® provides an introduction to the theory of dynamical systems with the aid of the Mathematica computer algebra package. The book 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. Mathematica’s 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 Mathematica’s 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 author’s 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 MATLAB®, ISBN 978-0-8176-4321-8 Dynamical Systems with Applications using Maple, ISBN 978-0-8176-4150-4 . ER -