Asymptotic Analysis of Differential Equations (Hardcover) (ISBN-13: 9781848166073)

The book gives the practical means of finding asymptotic solutions to differential equations, and relates WKB methods, integral solutions, Kruskal-Newton diagrams, and boundary layer theory to one another. The construction of integral solutions and analytic continuation are used in conjunction with the asymptotic analysis, to show the interrelatedness of these methods. Some of the functions of classical analysis are used as examples, to provide an introduction to their analytic and asymptotic properties, and to give derivations of some of the important identities satisfied by them. The emphasis is on the various techniques of analysis: obtaining asymptotic limits, connecting different asymptotic solutions, and obtaining integral representation.

Author: Roscoe B. White
ISBN-10: 1848166079
ISBN-13: 9781848166073
Publisher: Imperial College Press
Language: English
Published: 08/16/2010
Pages: 432
Format: Hardcover
Weight: 1.75lbs
Size: 9.00h x 6.10w x 0.90d