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Introduction to Perturbation Methods

  • Textbook
  • © 1995

Overview

Authors:
  1. Mark H. Holmes

    1. Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, USA

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Part of the book series: Texts in Applied Mathematics (TAM, volume 20)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Introduction to Asymptotic Approximations

    • Mark H. Holmes
    Pages 1-45

  3. Matched Asymptotic Expansions

    • Mark H. Holmes
    Pages 47-104

  4. Multiple Scales

    • Mark H. Holmes
    Pages 105-159

  5. The WKB and Related Methods

    • Mark H. Holmes
    Pages 161-222

  6. The Method of Homogenization

    • Mark H. Holmes
    Pages 223-248

  7. Introduction to Bifurcation and Stability

    • Mark H. Holmes
    Pages 249-295

  8. Back Matter

    Pages 297-337
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Keywords

About this book

This book is an introductory graduate text dealing with many of the perturbation methods currently used by applied mathematicians, scientists, and engineers. The author has based his book on a graduate course he has taught several times over the last ten years to students in applied mathematics, engineering sciences, and physics. The only prerequisite for the course is a background in differential equations. Each chapter begins with an introductory development involving ordinary differential equations. The book covers traditional topics, such as boundary layers and multiple scales. However, it also contains material arising from current research interest. This includes homogenization, slender body theory, symbolic computing, and discrete equations. One of the more important features of this book is contained in the exercises. Many are derived from problems of up- to-date research and are from a wide range of application areas.

Authors and Affiliations

  • Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, USA

    Mark H. Holmes

Bibliographic Information

  • Book Title: Introduction to Perturbation Methods

  • Authors: Mark H. Holmes

  • Series Title: Texts in Applied Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-5347-1

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York, Inc. 1995

  • eBook ISBN: 978-1-4612-5347-1Published: 01 December 2013

  • Series ISSN: 0939-2475

  • Series E-ISSN: 2196-9949

  • Edition Number: 1

  • Number of Pages: XIII, 356

  • Topics: Analysis

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