J. D. Murray (auth.)0387909370, 9780387909370
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 |
Table of contents :
Front Matter….Pages i-vii
Asymptotic expansions….Pages 1-18
Laplace’s method for integrals….Pages 19-39
Method of steepest descents….Pages 40-71
Method of stationary phase….Pages 72-85
Transform integrals….Pages 86-98
Differential equations….Pages 99-137
Singular perturbation methods….Pages 138-160
Back Matter….Pages 161-165 |
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