Historical Developments in Singular Perturbations

Released on by Robert E. O'Malley
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  • Historical Developments in Singular Perturbations Book Detail

  • Author : Robert E. O'Malley
  • Release Date : 2014-11-19
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 263
  • ISBN 13 : 3319119249
  • File Size : 58,58 MB
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Historical Developments in Singular Perturbations by Robert E. O'Malley PDF Summary

Book Description: 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.

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Singular Perturbations and Boundary Layers

Singular Perturbations and Boundary Layers

File Size : 62,62 MB
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Singular perturbations occur when a small coefficient affects the highest order derivatives in a system of partial differential equations. From the physical poi