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An Introduction to Phase Integral Methods

An Introduction to Phase Integral Methods Author John Heading
ISBN-10 9780486497426
Release 2013
Pages 160
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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.



Ray Tracing and Beyond

Ray Tracing and Beyond Author E. R. Tracy
ISBN-10 9780521768061
Release 2014-02-27
Pages 541
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This complete introduction to the use of modern ray tracing techniques in plasma physics describes the powerful mathematical methods generally applicable to vector wave equations in non-uniform media, and clearly demonstrates the application of these methods to simplify and solve important problems in plasma wave theory. Key analytical concepts are carefully introduced as needed, encouraging the development of a visual intuition for the underlying methodology, with more advanced mathematical concepts succinctly explained in the appendices, and supporting Matlab and Raycon code available online. Covering variational principles, covariant formulations, caustics, tunnelling, mode conversion, weak dissipation, wave emission from coherent sources, incoherent wave fields, and collective wave absorption and emission, all within an accessible framework using standard plasma physics notation, this is an invaluable resource for graduate students and researchers in plasma physics.



Introduction to Nonlinear Differential and Integral Equations

Introduction to Nonlinear Differential and Integral Equations Author Harold Thayer Davis
ISBN-10 0486609715
Release 1962
Pages 566
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Topics covered include differential equations of the 1st order, the Riccati equation and existence theorems, 2nd order equations, elliptic integrals and functions, nonlinear mechanics, nonlinear integral equations, more. Includes 137 problems.



Asymptotic Expansions of Integrals

Asymptotic Expansions of Integrals Author Norman Bleistein
ISBN-10 9780486650821
Release 1975
Pages 425
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Excellent 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.



Applied Complex Variables

Applied Complex Variables Author John W. Dettman
ISBN-10 9780486158280
Release 2012-05-07
Pages 512
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Fundamentals of analytic function theory — plus lucid exposition of 5 important applications: potential theory, ordinary differential equations, Fourier transforms, Laplace transforms, and asymptotic expansions. Includes 66 figures.



The Qualitative Theory of Ordinary Differential Equations

The Qualitative Theory of Ordinary Differential Equations Author Fred Brauer
ISBN-10 0486658465
Release 1989
Pages 314
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"This is a very good book ... with many well-chosen examples and illustrations." — American Mathematical Monthly This highly regarded text presents a self-contained introduction to some important aspects of modern qualitative theory for ordinary differential equations. It is accessible to any student of physical sciences, mathematics or engineering who has a good knowledge of calculus and of the elements of linear algebra. In addition, algebraic results are stated as needed; the less familiar ones are proved either in the text or in appendixes. The topics covered in the first three chapters are the standard theorems concerning linear systems, existence and uniqueness of solutions, and dependence on parameters. The next three chapters, the heart of the book, deal with stability theory and some applications, such as oscillation phenomena, self-excited oscillations and the regulator problem of Lurie. One of the special features of this work is its abundance of exercises-routine computations, completions of mathematical arguments, extensions of theorems and applications to physical problems. Moreover, they are found in the body of the text where they naturally occur, offering students substantial aid in understanding the ideas and concepts discussed. The level is intended for students ranging from juniors to first-year graduate students in mathematics, physics or engineering; however, the book is also ideal for a one-semester undergraduate course in ordinary differential equations, or for engineers in need of a course in state space methods.



American Scientific Books

American Scientific Books Author
ISBN-10 PSU:000029473489
Release 1962
Pages
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American Scientific Books has been writing in one form or another for most of life. You can find so many inspiration from American Scientific Books also informative, and entertaining. Click DOWNLOAD or Read Online button to get full American Scientific Books book for free.



Learning Directory

Learning Directory Author
ISBN-10 UOM:39015036929076
Release 1970
Pages
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Learning Directory has been writing in one form or another for most of life. You can find so many inspiration from Learning Directory also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Learning Directory book for free.



American Scientific Books 1962 1963

American Scientific Books  1962 1963 Author
ISBN-10 WISC:89014946768
Release 1963
Pages 221
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American Scientific Books 1962 1963 has been writing in one form or another for most of life. You can find so many inspiration from American Scientific Books 1962 1963 also informative, and entertaining. Click DOWNLOAD or Read Online button to get full American Scientific Books 1962 1963 book for free.



Linear Differential Operators

Linear Differential Operators Author Cornelius Lanczos
ISBN-10 0486680355
Release 1997
Pages 564
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The basic and characteristic properties of linear differential operators are explored in this graduate-level text. No specific knowledge beyond the usual introductory courses is necessary. Includes 350 problems and solution.



SIAM Review

SIAM Review Author Society for Industrial and Applied Mathematics
ISBN-10 UOM:39015019340473
Release 1959
Pages
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SIAM Review has been writing in one form or another for most of life. You can find so many inspiration from SIAM Review also informative, and entertaining. Click DOWNLOAD or Read Online button to get full SIAM Review book for free.



Whitaker s Cumulative Book List

Whitaker s Cumulative Book List Author
ISBN-10 UCAL:B3314910
Release 1964
Pages
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Whitaker s Cumulative Book List has been writing in one form or another for most of life. You can find so many inspiration from Whitaker s Cumulative Book List also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Whitaker s Cumulative Book List book for free.



Mathematical Foundations of Statistical Mechanics

Mathematical Foundations of Statistical Mechanics Author Aleksandr I?Akovlevich Khinchin
ISBN-10 0486601471
Release 1949
Pages 179
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Phase space, ergodic problems, central limit theorem, dispersion and distribution of sum functions. Chapters include Geometry and Kinematics of the Phase Space; Ergodic Problem; Reduction to the Problem of the Theory of Probability; Application of the Central Limit Theorem; Ideal Monatomic Gas; The Foundation of Thermodynamics; and more.



A Guide to Feynman Diagrams in the Many Body Problem

A Guide to Feynman Diagrams in the Many Body Problem Author Richard D. Mattuck
ISBN-10 9780486131641
Release 2012-08-21
Pages 464
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Superb introduction for nonspecialists covers Feynman diagrams, quasi particles, Fermi systems at finite temperature, superconductivity, vacuum amplitude, Dyson's equation, ladder approximation, and more. "A great delight." — Physics Today. 1974 edition.



Notices of the American Mathematical Society

Notices of the American Mathematical Society Author American Mathematical Society
ISBN-10 UCSD:31822020214557
Release 1987
Pages
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Notices of the American Mathematical Society has been writing in one form or another for most of life. You can find so many inspiration from Notices of the American Mathematical Society also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Notices of the American Mathematical Society book for free.



Introduction to Modern Optics

Introduction to Modern Optics Author Grant R. Fowles
ISBN-10 9780486134925
Release 2012-04-25
Pages 336
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A complete basic undergraduate course in modern optics for students in physics, technology, and engineering. The first half deals with classical physical optics; the second, quantum nature of light. Solutions.



Introduction to Bessel Functions

Introduction to Bessel Functions Author Frank Bowman
ISBN-10 9780486152998
Release 2012-04-27
Pages 160
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Self-contained text, useful for classroom or independent study, covers Bessel functions of zero order, modified Bessel functions, definite integrals, asymptotic expansions, and Bessel functions of any real order. 226 problems.