Singular Perturbation Theory by Donald R. Smith
Look inside with Google Book Preview
Singular Perturbation Theory
By Donald R. Smith

Singular Perturbation Theory

An Introduction with Applications

By (author) See other recent books by Donald R. Smith
Format: Hardback

Normal Price: $415.00
Your Price: $373.50 AUD, inc. GST
Shipping: $7.95 per order
You Save: $41.50! (10% off normal price)
Plus...earn $18.68 in Boomerang Bucks
Availability: Available Available to Backorder, No Due Date for Supply



Singular Perturbation Theory by Donald R. Smith

Book Description

This book presents an introduction to singular-perturbation problems, problems which depend on a parameter in such a way that solutions behave non-uniformly as the parameter tends toward some limiting value of interest. The author considers and solves a variety of problems, mostly for ordinary differential equations. He constructs (approximate) solutions for oscillation problems, using the methods of averaging and of multiple scales. For problems of the nonoscillatory type, where solutions exhibit 'fast dynamics' in a thin initial layer, he derives solutions using the O'Malley/Hoppensteadt method and the method of matched expansions. He obtains solutions for boundary-value problems, where solutions exhibit rapid variation in thin layers, using a multivariable method. After a suitable approximate solution is constructed, the author linearizes the problem about the proposed approximate solution, and, emphasizing the use of the Banach/Picard fixed-point theorem, presents a study of the linearization. This book will be useful to students at the graduate and senior undergraduate levels studying perturbation theory for differential equations, and to pure and applied mathematicians, engineers, and scientists who use differential equations in the modelling of natural phenomena.

Buy Singular Perturbation Theory book by Donald R. Smith from Australia's Online Bookstore, Boomerang Books.


Book Details

ISBN: 9780521300421
ISBN-10: 0521300428
Format: Hardback
(228mm x 152mm x 33mm)
Pages: 520
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 30-Aug-1985
Country of Publication: United Kingdom

Books By Author Donald R. Smith

Singular-perturbation Theory by Donald R. Smith Singular-perturbation Theory, Paperback (March 2009)

This book presents an introduction to singular-perturbation problems.

Variational Methods in Optimization by Donald R. Smith Variational Methods in Optimization, Paperback (February 1999)

Highly readable text elucidates applications of the chain rule of differentiation, integration by parts, parametric curves, line integrals, double integrals, and elementary differential equations. 1974 edition.

» View all books by Donald R. Smith

Reviews

» Have you read this book? We'd like to know what you think about it - write a review about Singular Perturbation Theory book by Donald R. Smith and you'll earn 50c in Boomerang Bucks loyalty dollars (you must be a member - it's free to sign up!)

Write a book review


Boomerang Bucks close

For every $20 you spend on books, you will receive $1 in Boomerang Bucks loyalty dollars. You can use your Boomerang Bucks as a credit towards a future purchase from Boomerang Books. Note that you must be a Member (free to sign up) and that conditions do apply.

Recent books by Donald R. Smith close
Singular-perturbation Theory by Donald R. Smith
Variational Methods in Optimization by Donald R. Smith
»
BoomerangBooks.com.au close