Asymptotic Expansions

Name: Asymptotic Expansions
Price: 43.18 USD
Availability: InStock
ISBN: 9780521604826

ISBN-10: 0521604826

ISBN-13: 9780521604826

Edition: 1965

Authors: E. T. Copson, B. Bollobas, W. Fulton, A. Katok, F. Kirwan

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Description:

Certain functions, capable of expansion only as a divergent series, may nevertheless be calculated with great accuracy by taking the sum of a suitable number of terms. The theory of such asymptotic expansions is of great importance in many branches of pure and applied mathematics and in theoretical physics. Solutions of ordinary differential equations are frequently obtained in the form of a definite integral or contour integral, and this tract is concerned with the asymptotic representation of a function of a real or complex variable defined in this way. After a preliminary account of the properties of asymptotic series, the standard methods of deriving the asymptotic expansion of an…

Book details

List price: $49.99
Copyright year: 1965
Publisher: Cambridge University Press
Publication date: 6/3/2004
Binding: Paperback
Pages: 132
Size: 5.50" wide x 8.50" long x 0.50" tall
Weight: 0.396
Language: English



Preface



Introduction



Preliminaries



Integration by parts



The method of stationary phase



The method of Laplace



Watson's lemma



The method of steepest descents



The saddle-point method



Airy's integral



Uniform asymptotic expansions


Bibliography


Index