Asymptotic Expansions For Ordinary Differential Equations

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Asymptotic Expansions For Ordinary Differential Equations

Asymptotic Expansions For Ordinary Differential Equations
Author: Wolfgang Wasow
Publisher: Courier Corporation
ISBN: 9780486495187
Size: 56.99 MB
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"A book of great value . . . it should have a profound influence upon future research."--Mathematical Reviews. Hardcover edition. The foundations of the study of asymptotic series in the theory of differential equations were laid by Poincaré in the late 19th century, but it was not until the middle of this century that it became apparent how essential asymptotic series are to understanding the solutions of ordinary differential equations. Moreover, they have come to be seen as crucial to such areas of applied mathematics as quantum mechanics, viscous flows, elasticity, electromagnetic theory, electronics, and astrophysics. In this outstanding text, the first book devoted exclusively to the subject, the author concentrates on the mathematical ideas underlying the various asymptotic methods; however, asymptotic methods for differential equations are included only if they lead to full, infinite expansions. Unabridged Dover republication of the edition published by Robert E. Krieger Publishing Company, Huntington, N.Y., 1976, a corrected, slightly enlarged reprint of the original edition published by Interscience Publishers, New York, 1965. 12 illustrations. Preface. 2 bibliographies. Appendix. Index.
Asymptotic Expansions for Ordinary Differential Equations
Language: en
Pages: 374
Authors: Wolfgang Wasow
Categories: Mathematics
Type: BOOK - Published: 2002-01-01 - Publisher: Courier Corporation
"A book of great value . . . it should have a profound influence upon future research."--Mathematical Reviews. Hardcover edition. The foundations of the study of asymptotic series in the theory of differential equations were laid by Poincaré in the late 19th century, but it was not until the middle
Asymptotic Expansions for Ordinary Differential Equations
Language: en
Pages: 384
Authors: Wolfgang Wasow
Categories: Mathematics
Type: BOOK - Published: 2018-03-21 - Publisher: Courier Dover Publications
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.
Asymptotic Analysis
Language: en
Pages: 363
Authors: Mikhail V. Fedoryuk
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media
In this book we present the main results on the asymptotic theory of ordinary linear differential equations and systems where there is a small parameter in the higher derivatives. We are concerned with the behaviour of solutions with respect to the parameter and for large values of the independent variable.
Asymptotic Expansions
Language: en
Pages: 128
Authors: A. Erdélyi
Categories: Mathematics
Type: BOOK - Published: 2012-04-27 - Publisher: Courier Corporation
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
Language: en
Pages:
Authors: A. Erdélyi
Categories: Mathematics
Type: BOOK - Published: 1965 - Publisher:
Books about ASYMPTOTIC EXPANSIONS FOR ORDINARY DIFFERENTIAL EQUATIONS
ASYMPTOTIC EXPANSIONS FOR ORDINARY DIFFERENTIAL EQUATIONS. VON WOLFGANG R. WASOW.
Language: en
Pages: 362
Authors: Wolfgang Richard Wasow
Categories: Mathematics
Type: BOOK - Published: 1965 - Publisher:
Books about ASYMPTOTIC EXPANSIONS FOR ORDINARY DIFFERENTIAL EQUATIONS. VON WOLFGANG R. WASOW.
Lectures on Asymptotic Solutions of Ordinary Linear Differential Equations
Language: en
Pages: 150
Authors: Arthur Erdélyi
Categories: Asymptotic expansions
Type: BOOK - Published: 1961 - Publisher:
Books about Lectures on Asymptotic Solutions of Ordinary Linear Differential Equations
Linear Turning Point Theory
Language: en
Pages: 246
Authors: Wolfgang Wasow
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media
My book "Asymptotic Expansions for Ordinary Differential Equations" published in 1965 is out of print. In the almost 20 years since then, the subject has grown so much in breadth and in depth that an account of the present state of knowledge of all the topics discussed there could not
Asymptotic Expansions
Language: en
Pages: 120
Authors: E. T. Copson, Edward Thomas Copson
Categories: Mathematics
Type: BOOK - Published: 2004-06-03 - Publisher: Cambridge University Press
Asymptotic representation of a function os of great importance in many branches of pure and applied mathematics.
Global Theory of a Second Order Linear Ordinary Differential Equation with a Polynomial Coefficient
Language: en
Pages: 289
Authors: E. T. Copson, Edward Thomas Copson
Categories: Mathematics
Type: BOOK - Published: 1975-01-01 - Publisher: Elsevier
Global Theory of a Second Order Linear Ordinary Differential Equation with a Polynomial Coefficient