Introduction to Ordinary Differential Equations with Mathematica, w. CD-ROM - An Integrated Multimedia Approach

The purpose of this book is to provide a traditionel treatment of elementary ordinary differential equations while introducing the computer-assisted methods that are now available with "Mathemathica". We have chosen "Mathemathica" over other systems of computer algebra because of its combination of easy access and computational power, as evidenced through symbolic, numerical, and graphical output.

List of contents

Contents: Basic Concepts.- Using Mathematica.- First Order Differential Equations.- The Package ODE.m.- Existence and Uniquenesss of Solutions of First Order Differential Equations.- Applications of First Order Equations I.- Applications of First Order Equations II; 8) Second Order Linear Differential Equations.- Second Order Linear Differential Equations with Constant Coefficients.- Using ODE.m to Solve Second Order Linear Differential Equations.- Applications of Linear Second Order Equations.- Higher Order Linear Differential Equations.- Numerical Solutions of Differential Equations, 14) The Laplace Transform.- Systems of Linear Differential Equations.- Phase Portraits of Systems.- Stability of Nonlinear Systems.- Applications of Linear Systems.- Applications of Nonlinear Systems.- Power Series Solutions of Second Order Equations.- Frobenius Solutions of Second Order Equations.- Appendices.

Product details

• Authors: A. Gray, Alfred Gray, Mike Mezzino, Mark A. Pinsky, Mark A. 10000245713 Pinsky
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 01.01.1997
• EAN: 9780387944814
• ISBN: 978-0-387-94481-4
• No. of pages: 890
• Weight: 1704 g
• Illustrations: w. figs.
• Series: TELOS, The Electronic Library of Science; TELOS, The Electronic Library of Science
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Analysis