This book provides a comprehensive introduction to the theory of ordinary differential equations with a focus on mechanics and dynamical systems as important applications of the theory. The text is written to be used in the traditional way or in a more applied way. The accompanying CD contains Maple worksheets for the exercises, and special Maple code for performing various tasks. In addition to its use in a traditional one or two semester graduate course in mathematics, the book is organized to be used for interdisciplinary courses in applied mathematics, physics, and engineering.
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Graduate students
Illustrationen
225
225 s/w Abbildungen
195 black & white illustrations, 195 black & white line drawings
Maße
Höhe: 23.5 cm
Breite: 17.8 cm
Gewicht
ISBN-13
978-0-387-95140-9 (9780387951409)
DOI
10.1007/978-1-4757-4971-7
Schweitzer Klassifikation
1 Introduction * 2 Techniques, Concepts & Examples * 3 Existence & Uniqueness-The Flow Map * 4 One Dimensional Systems * 5 Linear Systems * 6 Linearization & Transformation * 7 Stability Theory * 8 Integrable Systems * 9 Newtonian Mechanics * 10 Motion on a Submanifold * 11 Hamiltonian Systems * Appendix A: Elementary Analysis * Appendix B: Lipschitz Maps and Linearization * Appendix C: Linear Algebra