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  3. Perturbation Methods
  • Cited by 615
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    • Publisher:
      Cambridge University Press
      Publication date:
      05 June 2012
      25 October 1991
      ISBN:
      9781139172189
      9780521378970
      DOI:
      https://doi.org/10.1017/CBO9781139172189
      Dimensions:
      Weight & Pages:
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.25kg, 176 Pages
      • Subjects:
      Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Mathematical Physics, Mathematical Modeling and Methods
      Series:
      Cambridge Texts in Applied Mathematics (6)
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    Subjects:
    Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Mathematical Physics, Mathematical Modeling and Methods
    Series:
    Cambridge Texts in Applied Mathematics (6)
    Information

    Book 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.

    Reviews

    ‘A nice and readable introduction.’

    Source: Monatshefte für Mathematik

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    Contents

    Contents
    • 1 - Algebraic equations
      pp 1-18
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