Perturbation Methods

A textbook presenting the theory and underlying techniques of perturbation methods in a manner suitable for senior undergraduates from a broad range of disciplines.

E. J. Hinch (Author)

9780521378970, Cambridge University Press

Paperback, published 25 October 1991

176 pages
23.3 x 15.4 x 1.1 cm, 0.27 kg

'A nice and readable introduction.' Monatshefte für Mathematik

Perturbation methods are one of the fundamental tools used by all applied mathematicians and theoretical physicists. In this book, the author has managed to present the theory and techniques underlying such methods in a manner which will give the text wide appeal to students from a broad range of disciplines. Asymptotic expansions, strained coordinates and multiple scales are illustrated by copious use of examples drawn from all areas of applied mathematics and theoretical physics. The philosophy adopted is that there is no single or best method for such problems, but that one may exploit the small parameter given some experience and understanding of similar perturbation problems. The author does not look to perturbation methods to give quantitative answers but rather to give a physical understanding of the subtle balances in a complex problem.

Preface
1. Algebraic equations
2. Asymptotic expansions
3. Integrals
4. Regular problems in PDEs
5. Matched asymptotic expansions
6. Method of strained coordinates
7. Method of multiple scales
8. Improved convergence
Bibliography
Index.

Subject Areas: Applied mathematics [PBW]