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A Mathematica Companion for Differential Equations
A Mathematica Companion for Differential Equations
by Selwyn Hollis
  • Publisher: Prentice Hall
  • Year: 2003
  • ISBN: 0130463299 (Paperback)
  • 271 pp
This text is designed to be used for a typical two-semester course in differential equations. It emphasizes numerical solutions and graphics and uses Mathematica extensively for animations and vizualizations. It covers topics from fundamental concepts through nonlinear systems, Sturm-Liouville eigenvalue problems, and the diffusion and wave equations. Contents
An Introduction to Mathematica | An Introduction to Differential Equations | Linear First-Order Equations and Applications | Nonlinear First-Order Equations and Applications | Approximation of Solutions | Coupled Pairs of First-Order Equations | Second-Order Equations and Applications | Linear Differential Systems | Nonlinear Autonomous Systems in the Plane | A Gallery of Nonlinear Systems | Fourier Series and Sturm-Liouville Eigenvalue Problems | Linear Partial Differential Equations | Appendix: The DiffEqs Packages Additional Resources Related Topics
Differential Equations
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