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Applied Mathematical Sciences

Singular Perturbation Methods for Ordinary Differential Equations

Authors: O'Malley, Robert E., Jr.

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eBook $79.99
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  • ISBN 978-1-4612-0977-5
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Hardcover $149.99
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  • ISBN 978-0-387-97556-6
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Softcover $99.99
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  • ISBN 978-1-4612-6968-7
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About this book

This book results from various lectures given in recent years. Early drafts were used for several single semester courses on singular perturbation meth­ ods given at Rensselaer, and a more complete version was used for a one year course at the Technische Universitat Wien. Some portions have been used for short lecture series at Universidad Central de Venezuela, West Vir­ ginia University, the University of Southern California, the University of California at Davis, East China Normal University, the University of Texas at Arlington, Universita di Padova, and the University of New Hampshire, among other places. As a result, I've obtained lots of valuable feedback from students and listeners, for which I am grateful. This writing continues a pattern. Earlier lectures at Bell Laboratories, at the University of Edin­ burgh and New York University, and at the Australian National University led to my earlier works (1968, 1974, and 1978). All seem to have been useful for the study of singular perturbations, and I hope the same will be true of this monograph. I've personally learned much from reading and analyzing the works of others, so I would especially encourage readers to treat this book as an introduction to a diverse and exciting literature. The topic coverage selected is personal and reflects my current opin­ ions. An attempt has been made to encourage a consistent method of ap­ proaching problems, largely through correcting outer limits in regions of rapid change. Formal proofs of correctness are not emphasized.

Table of contents (3 chapters)

  • Examples Illustrating Regular and Singular Perturbation Concepts

    O’Malley, Robert E., Jr.

    Pages 1-21

  • Singularly Perturbed Initial Value Problems

    O’Malley, Robert E., Jr.

    Pages 22-91

  • Singularly Perturbed Boundary Value Problems

    O’Malley, Robert E., Jr.

    Pages 92-200

Buy this book

eBook $79.99
price for USA in USD (gross)
  • ISBN 978-1-4612-0977-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
  • ISBN 978-0-387-97556-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $99.99
price for USA in USD
  • ISBN 978-1-4612-6968-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Singular Perturbation Methods for Ordinary Differential Equations
Authors
Series Title
Applied Mathematical Sciences
Series Volume
89
Copyright
1991
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-0977-5
DOI
10.1007/978-1-4612-0977-5
Hardcover ISBN
978-0-387-97556-6
Softcover ISBN
978-1-4612-6968-7
Series ISSN
0066-5452
Edition Number
1
Number of Pages
VIII, 227
Topics