Differential Equations

2. Auflage 2004
ISBN: 978-0-471-43332-3
Verlag: John Wiley & Sons

Buch, Englisch, 736 Seiten, Book with CD-ROM, Format (B × H): 208 mm x 259 mm, Gewicht: 1533 g

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.

Autoren/Hrsg.

Borrelli, Robert L.

Coleman, Courtney S.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

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.

Index.