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Asymptotic Analysis / by J.D. Murray
(Applied Mathematical Sciences. ISSN:2196968X ; 48)

1st ed. 1984.
出版者 New York, NY : Springer New York : Imprint: Springer
出版年 1984
本文言語 英語
大きさ VII, 165 p : online resource
冊子体 Asymptotic analysis / J.D. Murray ; : us,: gw
著者標目 *Murray, J.D author
SpringerLink (Online service)
件 名 LCSH:Functions of real variables
FREE:Real Functions
一般注記 1. Asymptotic Expansions -- 2. Laplace’s Method for Integrals -- 3. Method of Steepest Descents -- 4. Method of Stationary Phase -- 5. Transform Integrals -- 6. Differential Equations -- 7. Singular Perturbation Methods
From the reviews: "A good introduction to a subject important for its capacity to circumvent theoretical and practical obstacles, and therefore particularly prized in the applications of mathematics. The book presents a balanced view of the methods and their usefulness: integrals on the real line and in the complex plane which arise in different contexts, and solutions of differential equations not expressible as integrals. Murray includes both historical remarks and references to sources or other more complete treatments. More useful as a guide for self-study than as a reference work, it is accessible to any upperclass mathematics undergraduate. Some exercises and a short bibliography included. Even with E.T. Copson's Asymptotic Expansions or N.G. de Bruijn's Asymptotic Methods in Analysis (1958), any academic library would do well to have this excellent introduction." (S. Puckette, University of the South) #Choice Sept. 1984#1
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ISBN 9781461211228

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