Asymptotic Analysis

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 li...

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Bibliographic Details
Main Author: Murray, J.D.
Format: eBook
Language:English
Published: New York, NY Springer New York 1984, 1984
Edition:1st ed. 1984
Series:Applied Mathematical Sciences
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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505 0 |a 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 
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653 |a Real Functions 
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520 |a 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