Introduction to Perturbation Methods
(Sprache: Englisch)
This introductory graduate text is based on a graduate course the author has taught repeatedly over the last ten years to students in applied mathematics, engineering sciences, and physics. Each chapter begins with an introductory development involving...
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Produktinformationen zu „Introduction to Perturbation Methods “
This introductory graduate text is based on a graduate course the author has taught repeatedly over the last ten years to students in applied mathematics, engineering sciences, and physics. Each chapter begins with an introductory development involving ordinary differential equations, and goes on to cover such traditional topics as boundary layers and multiple scales. However, it also contains material arising from current research interest, including homogenisation, slender body theory, symbolic computing, and discrete equations. Many of the excellent exercises are derived from problems of up-to-date research and are drawn from a wide range of application areas.
Klappentext zu „Introduction to Perturbation Methods “
The book is intended to be an introductory graduate text dealing with many of the perturbation methods currently used by applied mathematicians, scientists and engineers.The author has based his book on a graduate course he has taught several times over the last ten years to students in applied mathematics, engineering sciences, and physics. The only prerequisite for the course is a background in differential equations. Each chapter begins with an introductory development of the topic and this usually means examples involving ordinary differential equations. The book covers traditional topics, such as boundary layers and multiple-scales. However, it also contains material arising from current research interest. This includes homogenization, slender body theory, symbolic computing, and discrete equations.
Inhaltsverzeichnis zu „Introduction to Perturbation Methods “
- Series Preface- Preface
- Chapter 1: Introduction to Asymptotic Approximations
- Chapter 2: Matched Asymptotic Expansions
- Chapter 3: Multiple Scales
- Chapter 4: The WKB and Related Methods
- Chapter 5: The Method of Homogenization- Chapter 6: Introduction to Bifurcation and Stability
- Appendix A1: Solution and Properties of Transition Layer Equations
- Appendix A2: Asymptotic Approximations of Integrals
- Appendix A3: Numerical Solution of Nonlinear Boundary- Value Problems
- References
- Index.
Bibliographische Angaben
- Autor: Mark H. Holmes
- 1998, 1st ed. 1995. Corr. 2nd printing, XIII, 337 Seiten, 88 Abbildungen, Maße: 15,5 x 23,5 cm, Gebunden, Englisch
- Verlag: Springer, Berlin
- ISBN-10: 0387942033
- ISBN-13: 9780387942032
Sprache:
Englisch
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