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Differential Equations, Mechanics, and Computation
About this Title
Richard S. Palais, University of California, Irvine, Irvine, CA and Robert A. Palais, University of Utah, Salt Lake City, UT
Publication: The Student Mathematical Library
Publication Year
2009: Volume 51
ISBNs: 978-0-8218-2138-1 (print); 978-1-4704-1220-3 (online)
DOI: http://dx.doi.org/10.1090/stml/051
MathSciNet review: MR2567436
MSC: Primary 37-01; Secondary 34-01, 70-01
ReadershipTable of Contents
Front/Back Matter
Chapters
- Introduction
- Chapter 1. Differential equations and their solutions
- Chapter 2. Linear differential equations
- Chapter 3. Second-order ODE and the calculus of variations
- Chapter 4. Newtonian mechanics
- Chapter 5. Numerical methods
- Appendix A. Linear algebra and analysis
- Appendix B. The magic of iteration
- Appendix C. Vector fields as differential operators
- Appendix D. Coordinate systems and canonical forms
- Appendix E. Parametrized curves and arclength
- Appendix F. Smoothness with respect to initial conditions
- Appendix G. Canonical form for linear operators
- Appendix H. Runge-Kutta Methods
- Appendix I. Multistep methods
- Appendix J. Iterative interpolation and its error