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Introduction to perturbation methods /

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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, eng...

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Bibliographic Details
Main Author: Holmes, Mark H.
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York : Springer-Verlag, [1995]
Series:Texts in applied mathematics ; 20.
Subjects:
Perturbasyon (Matematik)
Perturbation (Mathematics)
Perturbation (mathématiques)
Storingsrekening.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • 1. Introduction to asymptotic approximations
  • 2. Matched asymptotic expansions
  • 3. Multiple scales
  • 4. The WKB and related methods
  • 5. The method of homogenization
  • 6. Introduction to bifurcation and stability
  • A1. Solution and properties of transition layer equations
  • A2. Asymptotic approximations of integrals
  • A3. Numerical solution of nonlinear boundary-value problems.