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

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Table of Contents

Front/Back Matter

• View this volume's front and 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

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