Differential Equations
A Modeling Perspective
Robert L. Borrelli, Courtney S. Coleman
Résumé
This effective and practical new edition continues to focus on differential equations as a powerful tool in constructing mathematical models for the physical world. It emphasizes modeling and visualization of solutions throughout. Each chapter introduces a model and then goes on to look at solutions of the differential equations involved using an integrated analytical, numerical, and qualitative approach. The authors present the material in a way that's clear and understandable to students at all levels. Throughout the text the authors convey their enthusiasm and excitement for the study of ODEs.
Sommaire
- Modeling and Differential Equations
- First-Order Differential Equations.
- Second-Order Differential Equations
- Applications of Second-Order Differential Equations
- The Laplace Transform
- Linear Systems of Differential Equations
- Nonlinear Differential Systems
- Stability
- Nonlinear Systems: Cycles and Chaos
- Fourier Series and Partial Differential Equations
- Series Solutions
- Appendix A: Basic Theory of Initial Value Problems
- Appendix B: Background Information
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | Wiley |
| Auteur(s) | Robert L. Borrelli, Courtney S. Coleman |
| Parution | 15/07/2004 |
| Édition | 2eme édition |
| Nb. de pages | 720 |
| Format | 21 x 26 |
| Couverture | Relié |
| Poids | 1165g |
| Intérieur | Noir et Blanc |
| EAN13 | 9780471433323 |
| ISBN13 | 978-0-471-43332-3 |
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