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An Introduction to Phase-Integral Methods
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.
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.
Reprint of the Methuen and Co., London, and John Wiley & Sons, New York, 1962 editions.
science and math, mathematics, applied math, differential equations, wentzel kramers brillouin method, wkb method, overview, advanced undergraduate, graduate level, historical survey, applications, stokes phenomenon, one and two transition points, physical problems, airy integral, bessels equation, connection formulae, ionospheric propagation, error bounds, energy flow, schrodingers equation, normalization, parabolic cylinder functions, reflection coefficient, physics;Phase-integral methods; Physics; Quantum mechanics; Applied mathematics$5.23
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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.
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.
Reprint of the Methuen and Co., London, and John Wiley & Sons, New York, 1962 editions.
science and math, mathematics, applied math, differential equations, wentzel kramers brillouin method, wkb method, overview, advanced undergraduate, graduate level, historical survey, applications, stokes phenomenon, one and two transition points, physical problems, airy integral, bessels equation, connection formulae, ionospheric propagation, error bounds, energy flow, schrodingers equation, normalization, parabolic cylinder functions, reflection coefficient, physics;Phase-integral methods; Physics; Quantum mechanics; Applied mathematics










