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.
1112755048
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.
14.95 In Stock
An Introduction to Phase-Integral Methods

An Introduction to Phase-Integral Methods

by John Heading
An Introduction to Phase-Integral Methods

An Introduction to Phase-Integral Methods

by John Heading

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$14.95 
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Overview


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.

Product Details

ISBN-13: 9780486497426
Publisher: Dover Publications
Publication date: 04/17/2013
Series: Dover Books on Mathematics Series
Edition description: Reprint
Pages: 174
Product dimensions: 4.90(w) x 7.90(h) x 0.40(d)

Table of Contents


Preface
I Historical Survey of the Problem
II The W.K.B.J. Solutions
III The Stokes Phenomenon
IV One Transition Point
V Two Transition Points
VI Applications to Physical Problems
Appendix: The Relationship Between Series and the W.K.B.J. Solutions
Bibliography
Index
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