Asymptotic Expansions For Ordinary Differential Equations

Download book Asymptotic Expansions For Ordinary Differential Equations. PDF book with title Asymptotic Expansions For Ordinary Differential Equations by Wolfgang Wasow suitable to read on your Kindle device, PC, phones or tablets. Available in PDF, EPUB, and Mobi Format.

Asymptotic Expansions For Ordinary Differential Equations

Asymptotic Expansions For Ordinary Differential Equations
Author: Wolfgang Wasow
Publisher: Courier Corporation
ISBN: 9780486495187
Size: 13.47 MB
Format: PDF, Docs
View: 893
Get Books

"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
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. 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.
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.
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
Composite Asymptotic Expansions
Language: en
Pages: 161
Authors: Augustin Fruchard, Reinhard Schafke
Categories: Mathematics
Type: BOOK - Published: 2012-12-15 - Publisher: Springer
The purpose of these lecture notes is to develop a theory of asymptotic expansions for functions involving two variables, while at the same time using functions involving one variable and functions of the quotient of these two variables. Such composite asymptotic expansions (CAsEs) are particularly well-suited to describing solutions of
Library of Congress Subject Headings
Language: en
Pages:
Authors: Library of Congress
Categories: Subject headings, Library of Congress
Type: BOOK - Published: 2011 - Publisher:
Books about Library of Congress Subject Headings
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.
Asymptotic Behavior of Monodromy
Language: en
Pages: 142
Authors: Carlos Simpson
Categories: Mathematics
Type: BOOK - Published: 2006-11-14 - Publisher: Springer
This book concerns the question of how the solution of a system of ODE's varies when the differential equation varies. The goal is to give nonzero asymptotic expansions for the solution in terms of a parameter expressing how some coefficients go to infinity. A particular classof families of equations is
Topics in Ordinary Differential Equations
Language: en
Pages: 154
Authors: William D. Lakin, David A. Sánchez
Categories: Mathematics
Type: BOOK - Published: 1982 - Publisher:
Books about Topics in Ordinary Differential Equations