The phase-integral method in mathematics, also known as the
Wentzel-Kramers-Brillouin (WKB) method, is the focus of this
introductory treatment. Author John Heading successfully steers a
course between simplistic and rigorous approaches to provide a
concise overview for advanced undergraduates and graduate students
in mathematics and physics.
Since the number of applications is vast, the text considers only a
brief selection of topics and emphasizes the method itself rather
than detailed applications. The process, once derived, is shown to
be one of essential simplicity that involves merely the application
of certain well-defined rules. Starting with a historical survey of
the problem and its solutions, subjects include the Stokes
phenomenon, one and two transition points, and applications to
physical problems. An appendix and bibliography conclude the text.
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