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Author: John Heading
Publisher: Courier Corporation
Published: 2013-06-03
Total Pages: 178
ISBN-13: 0486316297
DOWNLOAD EBOOKIntroductory 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.
Author: John Heading
Publisher: Courier Corporation
Published: 2013-01-01
Total Pages: 178
ISBN-13: 0486497429
DOWNLOAD EBOOKThe 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.
Author: Nanny Fröman
Publisher: Springer Science & Business Media
Published: 2013-04-09
Total Pages: 258
ISBN-13: 1461223423
DOWNLOAD EBOOKThe result of two decades spent developing and refining the phase-integral method to a high level of precision, the authors have applied this method to problems in various fields of theoretical physics. The problems treated are of a mathematical nature, but have important physical applications. This book will thus be of great use to research workers in various branches of theoretical physics, where the problems can be reduced to one-dimensional second-order differential equations of the Schrödinger type for which phase-integral solutions are required. Includes contributions from notable scientists who have already made use of the authors'technique.
Author: Nanny Fröman
Publisher: Cambridge University Press
Published: 2002-06-13
Total Pages: 230
ISBN-13: 1139434322
DOWNLOAD EBOOKThis book provides a thorough introduction to one of the most efficient approximation methods for the analysis and solution of problems in theoretical physics and applied mathematics. It is written with practical needs in mind and contains a discussion of 50 problems with solutions, of varying degrees of difficulty. The problems are taken from quantum mechanics, but the method has important applications in any field of science involving second order ordinary differential equations. The power of the asymptotic solution of second order differential equations is demonstrated, and in each case the authors clearly indicate which concepts and results of the general theory are needed to solve a particular problem. This book will be ideal as a manual for users of the phase-integral method, as well as a valuable reference text for experienced research workers and graduate students.
Author: R. J. Rivers
Publisher: Cambridge University Press
Published: 1988-10-27
Total Pages: 356
ISBN-13: 9780521368704
DOWNLOAD EBOOKThe applications of functional integral methods introduced in this text for solving a range of problems in quantum field theory will prove useful for students and researchers in theoretical physics and quantum field theory.
Author: Harold Thayer Davis
Publisher:
Published: 1960
Total Pages: 590
ISBN-13:
DOWNLOAD EBOOKAuthor: L. S. Schulman
Publisher: Courier Corporation
Published: 2012-10-10
Total Pages: 434
ISBN-13: 0486137023
DOWNLOAD EBOOKSuitable for advanced undergraduates and graduate students, this text develops the techniques of path integration and deals with applications, covering a host of illustrative examples. 26 figures. 1981 edition.
Author: Mark H. Holmes
Publisher: Springer Science & Business Media
Published: 1998-06-19
Total Pages: 356
ISBN-13: 0387942033
DOWNLOAD EBOOKThis introductory graduate text is based on a graduate course the author has taught repeatedly over the last ten years to students in applied mathematics, engineering sciences, and physics. Each chapter begins with an introductory development involving ordinary differential equations, and goes on to cover such traditional topics as boundary layers and multiple scales. However, it also contains material arising from current research interest, including homogenisation, slender body theory, symbolic computing, and discrete equations. Many of the excellent exercises are derived from problems of up-to-date research and are drawn from a wide range of application areas.
Author:
Publisher:
Published: 1965
Total Pages: 712
ISBN-13:
DOWNLOAD EBOOKAuthor: Norman Bleistein
Publisher: Courier Corporation
Published: 1986-01-01
Total Pages: 453
ISBN-13: 0486650820
DOWNLOAD EBOOKExcellent introductory text, written by two experts, presents a coherent and systematic view of principles and methods. Topics include integration by parts, Watson's lemma, LaPlace's method, stationary phase, and steepest descents. Additional subjects include the Mellin transform method and less elementary aspects of the method of steepest descents. 1975 edition.
