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.
General
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