Differential equations : theory and applications with Maple
"This book provides a comprehensive introduction to the theory of ordinary differential equations at the graduate level and includes applications to Newtonian and Hamiltonian mechanics. It not only has a large number of examples and computer graphics to illustrate the theory, but also has a complete collection of proofs for the major theorems ranging from the usual existence and uniqueness results to the Hartman-Grobman theorem and the Jordan canonical form theorem." "The book can be used almost exclusively in the traditional way for graduate math courses, or it can be used in an applied way for interdisciplinary courses involving physics, engineering, and other science majors. For this reason, an extensive computer component using Maple is provided on the accompanying CD-ROM and is cross referenced in the text."--Jacket
Lehrbuch
xiv, 680 pages : illustrations ; 25 cm + 1 computer optical disc (4 3/4 in.)
9780387951409, 0387951407
44732341
Introduction.- Techniques, Concepts & Examples.- Existence & Uniqueness-The Flow Map.- One Dimensional Systems.- Linear Systems.- Linearization & Transformation.- Stability Theory.- Integrable Systems.- Newtonian Mechanics.- Motion on a Submanifold.- Hamiltonian Systems.- Appendix A: Elementary Analysis.- Appendix B: Lipschitz Maps and Linearization.- Appendix C: Linear Algebra.