A Dressing Method in Mathematical Physics

A Dressing Method in Mathematical Physics PDF

Author: Evgeny V. Doktorov

Publisher: Springer Science & Business Media

Published: 2007-05-19

Total Pages: 413

ISBN-13: 1402061404

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This monograph systematically develops and considers the so-called "dressing method" for solving differential equations (both linear and nonlinear), a means to generate new non-trivial solutions for a given equation from the (perhaps trivial) solution of the same or related equation. Throughout, the text exploits the "linear experience" of presentation, with special attention given to the algebraic aspects of the main mathematical constructions and to practical rules of obtaining new solutions.

Methods for Solving Mathematical Physics Problems

Methods for Solving Mathematical Physics Problems PDF

Author: Valeriĭ Ivanovich Agoshkov

Publisher: Cambridge Int Science Publishing

Published: 2006

Total Pages: 335

ISBN-13: 1904602053

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The aim of the book is to present to a wide range of readers (students, postgraduates, scientists, engineers, etc.) basic information on one of the directions of mathematics, methods for solving mathematical physics problems. The authors have tried to select for the book methods that have become classical and generally accepted. However, some of the current versions of these methods may be missing from the book because they require special knowledge. The book is of the handbook-teaching type. On the one hand, the book describes the main definitions, the concepts of the examined methods and approaches used in them, and also the results and claims obtained in every specific case. On the other hand, proofs of the majority of these results are not presented and they are given only in the simplest (methodological) cases. Another special feature of the book is the inclusion of many examples of application of the methods for solving specific mathematical physics problems of applied nature used in various areas of science and social activity, such as power engineering, environmental protection, hydrodynamics, elasticity theory, etc. This should provide additional information on possible applications of these methods. To provide complete information, the book includes a chapter dealing with the main problems of mathematical physics, together with the results obtained in functional analysis and boundary-value theory for equations with partial derivatives.

Mathematical Methods for Physicists and Engineers

Mathematical Methods for Physicists and Engineers PDF

Author: Royal Eugene Collins

Publisher: Courier Corporation

Published: 2012-06-11

Total Pages: 400

ISBN-13: 0486150127

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Practical text focuses on fundamental applied math needed to deal with physics and engineering problems: elementary vector calculus, special functions of mathematical physics, calculus of variations, much more. 1968 edition.

Mathematical Methods in Physics

Mathematical Methods in Physics PDF

Author: Victor Henner

Publisher: CRC Press

Published: 2009-06-18

Total Pages: 859

ISBN-13: 1439865167

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This book is a text on partial differential equations (PDEs) of mathematical physics and boundary value problems, trigonometric Fourier series, and special functions. This is the core content of many courses in the fields of engineering, physics, mathematics, and applied mathematics. The accompanying software provides a laboratory environment that

Mathematical Methods for Physicists

Mathematical Methods for Physicists PDF

Author: George B. Arfken

Publisher: Academic Press

Published: 2013-10-22

Total Pages: 1048

ISBN-13: 1483288064

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This new and completely revised Fourth Edition provides thorough coverage of the important mathematics needed for upper-division and graduate study in physics and engineering. Following more than 28 years of successful class-testing, Mathematical Methods for Physicists is considered the standard text on the subject. A new chapter on nonlinear methods and chaos is included, as are revisions of the differential equations and complex variables chapters. The entire book has been made even more accessible, with special attention given to clarity, completeness, and physical motivation. It is an excellent reference apart from its course use. This revised Fourth Edition includes: Modernized terminology Group theoretic methods brought together and expanded in a new chapter An entirely new chapter on nonlinear mathematical physics Significant revisions of the differential equations and complex variables chapters Many new or improved exercises Forty new or improved figures An update of computational techniques for today's contemporary tools, such as microcomputers, Numerical Recipes, and Mathematica(r), among others

A Course in Mathematical Methods for Physicists

A Course in Mathematical Methods for Physicists PDF

Author: Russell L. Herman

Publisher: CRC Press

Published: 2013-12-04

Total Pages: 776

ISBN-13: 146658467X

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Based on the author’s junior-level undergraduate course, this introductory textbook is designed for a course in mathematical physics. Focusing on the physics of oscillations and waves, A Course in Mathematical Methods for Physicists helps students understand the mathematical techniques needed for their future studies in physics. It takes a bottom-up approach that emphasizes physical applications of the mathematics. The book offers: A quick review of mathematical prerequisites, proceeding to applications of differential equations and linear algebra Classroom-tested explanations of complex and Fourier analysis for trigonometric and special functions Coverage of vector analysis and curvilinear coordinates for solving higher dimensional problems Sections on nonlinear dynamics, variational calculus, numerical solutions of differential equations, and Green's functions

Asymptotic Methods in Equations of Mathematical Physics

Asymptotic Methods in Equations of Mathematical Physics PDF

Author: B Vainberg

Publisher: CRC Press

Published: 1989-02-25

Total Pages: 516

ISBN-13: 9782881246647

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Typed English translation of a monograph first published (in Russian) in 1982. Provides graduate students and researchers with usefully detailed discussion of most of the asymptotic methods standard these days to the work of mathematical physicists. The author prefers not to dwell in the heights of abstraction; he has written a broadly intelligble book, which is informed at every point by his secure command of major physical applications. An expensive but valuable contribution to the literature of an important but too-little-written- about field. Twelve chapters, references. (NW) Annotation copyrighted by Book News, Inc., Portland, OR