Historical Developments in Singular Perturbations

  • Robert E. O'Malley

Table of contents

  1. Front Matter
    Pages i-x
  2. Robert E. O’Malley
    Pages 1-26
  3. Robert E. O’Malley
    Pages 27-51
  4. Robert E. O’Malley
    Pages 141-181
  5. Back Matter
    Pages 215-256

About this book


This engaging text describes the development of singular perturbations, including its history, accumulating literature, and its current status. While the approach of the text is sophisticated, the literature is accessible to a broad audience. A particularly valuable bonus are the historical remarks. These remarks are found throughout the manuscript. They demonstrate the growth of mathematical thinking on this topic by engineers and mathematicians.

The book focuses on detailing how the various methods are to be applied. These are illustrated by a  number and variety of examples. Readers are expected to have a working knowledge of elementary ordinary differential equations, including some familiarity with power series techniques, and of some advanced calculus.

Dr. O'Malley  has written a number of books on singular perturbations.  This book has developed from many of his works in the field of perturbation theory.


Asymptotic Methods Differential Equations History of 20th Century Differential Equations Multi-scale Methods Singular Perturbations

Authors and affiliations

  • Robert E. O'Malley
    • 1
  1. 1.Department of Applied MathematicsUniversity of WashingtonSeattleUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-11924-3
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-11923-6
  • Online ISBN 978-3-319-11924-3
  • About this book