asymptotic expansions of integrals dover books on mathematics

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Asymptotic Expansions Of Integrals

Author : Norman Bleistein
ISBN : 9780486650821
Genre : Mathematics
File Size : 62. 44 MB
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Excellent introductory text, written by two experts, presents a coherent and systematic view of principles and methods. Topics include integration by parts, Watson's lemma, LaPlace's method, stationary phase, and steepest descents. Additional subjects include the Mellin transform method and less elementary aspects of the method of steepest descents. 1975 edition.

Asymptotic Expansions

Author : A. Erdélyi
ISBN : 9780486155050
Genre : Mathematics
File Size : 59. 51 MB
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Various methods for asymptotic evaluation of integrals containing a large parameter, and solutions of ordinary linear differential equations by means of asymptotic expansion.

Asymptotic Expansions For Ordinary Differential Equations

Author : Wolfgang Wasow
ISBN : 9780486824581
Genre : Mathematics
File Size : 72. 82 MB
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This outstanding text concentrates on the mathematical ideas underlying various asymptotic methods for ordinary differential equations that lead to full, infinite expansions. "A book of great value." — Mathematical Reviews. 1976 revised edition.

Applied Asymptotic Analysis

Author : Peter David Miller
ISBN : 9780821840788
Genre : Mathematics
File Size : 28. 29 MB
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"The book is intended for a beginning graduate course on asymptotic analysis in applied mathematics and is aimed at students of pure and applied mathematics as well as science and engineering. The basic prerequisite is a background in differential equations, linear algebra, advanced calculus, and complex variables at the level of introductory undergraduate courses on these subjects."--BOOK JACKET.

Introduction To Bessel Functions

Author : Frank Bowman
ISBN : 9780486152998
Genre : Mathematics
File Size : 45. 88 MB
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Self-contained text, useful for classroom or independent study, covers Bessel functions of zero order, modified Bessel functions, definite integrals, asymptotic expansions, and Bessel functions of any real order. 226 problems.

Asymptotic Methods In Analysis

Author : N. G. de Bruijn
ISBN : 9780486150796
Genre : Mathematics
File Size : 38. 6 MB
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This pioneering study/textbook in a crucial area of pure and applied mathematics features worked examples instead of the formulation of general theorems. Extensive coverage of saddle-point method, iteration, and more. 1958 edition.

The Functions Of Mathematical Physics

Author : Harry Hochstadt
ISBN : 9780486168784
Genre : Science
File Size : 44. 35 MB
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Comprehensive text provides a detailed treatment of orthogonal polynomials, principal properties of the gamma function, hypergeometric functions, Legendre functions, confluent hypergeometric functions, and Hill's equation.

Asymptotic Analysis

Author : J.D. Murray
ISBN : 9781461211228
Genre : Mathematics
File Size : 33. 35 MB
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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

Perturbation Methods

Author : 欣奇
ISBN : 7506282240
Genre : Perturbation (Mathematics).
File Size : 72. 35 MB
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Applied Complex Variables

Author : John W. Dettman
ISBN : 9780486158280
Genre : Mathematics
File Size : 81. 59 MB
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Fundamentals of analytic function theory — plus lucid exposition of 5 important applications: potential theory, ordinary differential equations, Fourier transforms, Laplace transforms, and asymptotic expansions. Includes 66 figures.

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