An Introduction to Phase-Integral Methods (Paperback)

John Heading

ISBN 10: 0486497429 / ISBN 13: 9780486497426

Editore: Dover Publications Inc., New York, 2013

Riguardo questo articolo

Paperback. 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. Introductory treatment steers a course between simplistic and rigorous approaches to provide a concise overview for advanced undergraduates and graduate students. Topics include Stokes phenomenon, one and two transition points, applications. 1962 edition. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Codice articolo 9780486497426

Dati bibliografici

• Titolo: An Introduction to Phase-Integral Methods (Paperback)
• Editore: Dover Publications Inc., New York
• Data di pubblicazione: 2013
• Lingua: Inglese
• ISBN 10: 0486497429
• ISBN 13: 9780486497426
• Rilegatura: Paperback
• Condizione: new

Descrizione articolo

Riassunto

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.

Contenuti

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