Asymptotic analysis
著者
書誌事項
Asymptotic analysis
（Applied mathematical sciences, v. 48）
Springer-Verlag, c1984
- : us
- : gw
- : softcover
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注記
"Softcover reprint of the hardcover 1st edition 1984"--T.p. verso of softcover
An earlier version of this book was published by Clarendon Press, Oxford in 1974
Bibliography: p. [161]
Includes index
内容説明・目次
- 巻冊次
-
: us ISBN 9780387909370
内容説明
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
目次
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.
- 巻冊次
-
: softcover ISBN 9781461270157
内容説明
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
目次
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.
- 巻冊次
-
: gw ISBN 9783540909378
内容説明
An introduction to asymptotic analysis which considers 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.
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