Asymptotic Analysis Of Differential Equations (Revised Edition)

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 the use of 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.

Professor Roscoe White is a Principal Research Physioist at the Princeton plasma Physics Laboratory where he was head of the theory division for six years. He graduated in Physics from the University of Minnesota and then obtained his Ph.D. in Physics from Princeton. He is a fellow of the American Physics Society and has published over 250 articles and one book in the areas fusion physics and nonlinear dynamics.