Perturbation Methods

Perturbation Methods

3.83 (6 ratings by Goodreads)
  • Electronic book text
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Description

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.show more

Product details

  • Electronic book text
  • CAMBRIDGE UNIVERSITY PRESS
  • Cambridge University Press (Virtual Publishing)
  • Cambridge, United Kingdom
  • 1139927205
  • 9781139927208

Review quote

'A nice and readable introduction.' Monatshefte fur Mathematikshow more

Table of contents

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.show more

Rating details

6 ratings
3.83 out of 5 stars
5 17% (1)
4 50% (3)
3 33% (2)
2 0% (0)
1 0% (0)
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