By Richard S. Palais and Robert A. Palais.
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Below you will find generous (and downloadable!) PDF previews of material from the book. However, if you want to study the book in a serious way we strongly recommend that you...
Published by The American Mathematical Society.
We encourage visitors to download 3D-XplorMath, a free mathematical visualization program available in both a Mac only and a cross-platform Java version. It is very useful for visualizing differential equations and their solutions, such as those studied in the book. We have also collected a Gallery of ODE applets created using the Java version. This can serve as your online playground for experimenting with ODE of many types. To use it please visit: http://virtualmathmuseum.org/ODE/index.html.
1. Differential Equations and Their Solutions
2. Linear Differential Equations
3. Second-Order ODE and the Calculus of Variations
4. Newtonian Mechanics
5. Numerical Methods
Appendices (76 pages)
Appendix K. Fast Fourier Transform.
Appendix L. Introduction to Fourier Methods.
This Web Companion is a work in progress. Suggestions are most welcome. Please send them or report any problems to firstname.lastname@example.org
The authors, Bob and Dick Palais, are grateful to Xah Lee for his help and advice in designing, implementing, and maintaining a user-friendly website.
Last Updated May 19, 2011