Introduction to Perturbation Methods

  • Mark H. Holmes
Part of the Texts in Applied Mathematics book series (TAM, volume 20)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Mark H. Holmes
    Pages 1-45
  3. Mark H. Holmes
    Pages 47-104
  4. Mark H. Holmes
    Pages 105-159
  5. Mark H. Holmes
    Pages 161-222
  6. Mark H. Holmes
    Pages 223-248
  7. Mark H. Holmes
    Pages 249-295
  8. Back Matter
    Pages 297-337

About this book

Introduction

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.

Keywords

Perturbation Methods applied mathematics bifurcation convergence differential equation homogenization Hypergeometric function integral ordinary differential equation partial differential equation solution stability

Authors and affiliations

  • Mark H. Holmes
    • 1
  1. 1.Department of Mathematical SciencesRensselaer Polytechnic InstituteTroyUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-5347-1
  • Copyright Information Springer-Verlag New York 1995
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-5349-5
  • Online ISBN 978-1-4612-5347-1
  • Series Print ISSN 0939-2475
  • About this book