Introduction to Perturbation Methods

• Main Author: Holmes, Mark H. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2013.
• Edition: 2nd ed. 2013.
• Series: Texts in Applied Mathematics, 20
• Subjects: Mathematics.; Global analysis (Mathematics).; Differential Equations.; Differential equations, partial.; Partial Differential Equations.; Ordinary Differential Equations.; Analysis.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4614-5477-9

This introductory graduate text is based on a graduate course the author has taught repeatedly over the last twenty or so years to students in applied mathematics, engineering sciences, and physics. Each chapter begins with an introductory development involving ordinary differential equations, and g...

Table of Contents:

• Preface
• Preface to Second Edition
• Introduction to Asymptotic Approximations
• Matched Asymptotic Expansions
• Multiple Scales
• The WKB and Related Methods
• The Method of Homogenization- Introduction to Bifurcation and Stability
• References
• Index.