Perturbation Methods / Edition 1

by Ali H. Nayfeh

Overview

The Wiley Classics Library consists of selected books that have become recognized classics in their respective fields. With these new unabridged and inexpensive editions, Wiley hopes to extend the life of these important works by making them available to future generations of mathematicians and scientists.
Currently available in the Series:

T. W. Anderson
The Statistical Analysis of Time Series
T. S. Arthanari & Yadolah Dodge
Mathematical Programming in Statistics
Emil Artin
Geometric Algebra
Norman T. J. Bailey
The Elements of Stochastic Processes with Applications to the Natural Sciences
Robert G. Bartle
The Elements of Integration and
Lebesgue Measure
George E. P. Box & Norman R. Draper
Evolutionary Operation: A Statistical Method for Process Improvement
George E. P. Box & George C. Tiao
Bayesian Inference in Statistical Analysis
R. W. Carter
Finite Groups of Lie Type: Conjugacy Classes and Complex Characters
R. W. Carter
Simple Groups of Lie Type
William G. Cochran & Gertrude M. Cox
Experimental Designs, Second Edition
Richard Courant
Differential and Integral Calculus, Volume I
RIchard Courant
Differential and Integral Calculus, Volume II
Richard Courant & D. Hilbert
Methods of Mathematical Physics, Volume I
Richard Courant & D. Hilbert
Methods of Mathematical Physics, Volume II

D. R. Cox
Planning of Experiments
Harold S. M. Coxeter
Introduction to Geometry, Second Edition
Charles W. Curtis & Irving Reiner
Representation Theory of Finite Groups and
Associative Algebras
Charles W. Curtis & Irving Reiner
Methods of Representation Theory with Applications to Finite Groups and Orders, Volume I
Charles W. Curtis & Irving Reiner
Methods of Representation Theory with Applications to Finite Groups and Orders, Volume II
Cuthbert Daniel
Fitting Equations to Data: Computer Analysis of
Multifactor Data, Second Edition
Bruno de Finetti
Theory of Probability, Volume I
Bruno de Finetti
Theory of Probability, Volume 2
W. Edwards Deming
Sample Design in Business Research

Product Details

ISBN-13:	9780471399179
Publisher:	Wiley
Publication date:	07/26/2000
Series:	Wiley Classics Library
Pages:	437
Product dimensions:	6.77(w) x 9.61(h) x 0.88(d)

About the Author

Ali H. Nayfeh received his BS in engineering science and his MS and PhD in aeronautics and astronautics from Stanford University. He holds honorary doctorates from Marine Technical University, Russia, Technical University of Munich, Germany, and Politechnika Szczecinska, Poland. He is currently University Distinguished Professor of Engineering at Virginia Tech. He is the Editor of the Wiley Series in Nonlinear Science and Editor in Chief of Nonlinear Dynamics and the Journal of Vibration and Control.

Table of Contents

1. Introduction 1

2. Straightforward Expansions and Sources of Nonuniformity 23

3. The Method of Strained Coordinates 56

4. The Methods of Matched and Composite Asymptotic Expansions 110

5. Variation of Parameters and Methods of Averaging 159

6. The Method of Multiple Scales 228

7. Asymptotic Solutions of Linear Equations 308

References and Author Index 387

Subject Index 417

Editorial Reviews

Presents perturbation techniques. Coverage encompasses straightforward expansions and sources of nonuniformity, the method of strained coordinates, matched and composite asymptotic expansions, variations of parameters and methods of averaging, multiple scales, and asymptotic solutions of linear equations. Examples are drawn from different branches of physics and engineering. For each example a short description of the physical problem is first presented. Includes exercises. Assumes knowledge of basic calculus and elementary properties of ordinary and partial differential equations. Author information is not given. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Booknews