Integral Transforms In Mathematical Physics

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Fourier Mukai And Nahm Transforms In Geometry And Mathematical Physics

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Author : CLAUDIO BARTOCCI
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-06-12

Fourier Mukai And Nahm Transforms In Geometry And Mathematical Physics written by CLAUDIO BARTOCCI and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-12 with Science categories.

Integral transforms, such as the Laplace and Fourier transforms, have been major tools in mathematics for at least two centuries. In the last three decades the development of a number of novel ideas in algebraic geometry, category theory, gauge theory, and string theory has been closely related to generalizations of integral transforms of a more geometric character. "Fourier–Mukai and Nahm Transforms in Geometry and Mathematical Physics" examines the algebro-geometric approach (Fourier–Mukai functors) as well as the differential-geometric constructions (Nahm). Also included is a considerable amount of material from existing literature which has not been systematically organized into a monograph. Key features: Basic constructions and definitions are presented in preliminary background chapters - Presentation explores applications and suggests several open questions - Extensive bibliography and index. This self-contained monograph provides an introduction to current research in geometry and mathematical physics and is intended for graduate students and researchers just entering this field.

Integral Transforms In Mathematical Physics

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Author : Clement John Tranter
language : en
Publisher:
Release Date : 1966

Integral Transforms In Mathematical Physics written by Clement John Tranter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Integral transforms categories.

Integral Transforms And Their Applications

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Author : B. Davies
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-27

Integral Transforms And Their Applications written by B. Davies and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-27 with Mathematics categories.

This book is intended to serve as introductory and reference material for the application of integral transforms to a range of common mathematical problems. It has its im mediate origin in lecture notes prepared for senior level courses at the Australian National University, although I owe a great deal to my colleague Barry Ninham, a matter to which I refer below. In preparing the notes for publication as a book, I have added a considerable amount of material ad- tional to the lecture notes, with the intention of making the book more useful, particularly to the graduate student - volved in the solution of mathematical problems in the physi cal, chemical, engineering and related sciences. Any book is necessarily a statement of the author's viewpoint, and involves a number of compromises. My prime consideration has been to produce a work whose scope is selective rather than encyclopedic; consequently there are many facets of the subject which have been omitted--in not a few cases after a preliminary draft was written--because I v believe that their inclusion would make the book too long.

Integral Transforms In Mathematical Physics

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Author : C. J. Tranter
language : en
Publisher:
Release Date : 1971

Integral Transforms In Mathematical Physics written by C. J. Tranter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Integral transforms categories.

Integral Transforms In Geophysics

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Author : Michael S. Zhdanov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Integral Transforms In Geophysics written by Michael S. Zhdanov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.

Integral Transforms of Geophysical Fields serve as one of the major tools for processing and interpreting geophysical data. In this book the authors present a unified treatment of this theory, ranging from the techniques of the transfor- mation of 2-D and 3-D potential fields to the theory of se- paration and migration of electromagnetic and seismic fields. Of interest primarily to scientists and post-gradu- ate students engaged in gravimetrics, but also useful to geophysicists and researchers in mathematical physics.

Local Fractional Integral Transforms And Their Applications

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Author : Xiao-Jun Yang
language : en
Publisher: Academic Press
Release Date : 2015-10-22

Local Fractional Integral Transforms And Their Applications written by Xiao-Jun Yang and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-22 with Mathematics categories.

Local Fractional Integral Transforms and Their Applications provides information on how local fractional calculus has been successfully applied to describe the numerous widespread real-world phenomena in the fields of physical sciences and engineering sciences that involve non-differentiable behaviors. The methods of integral transforms via local fractional calculus have been used to solve various local fractional ordinary and local fractional partial differential equations and also to figure out the presence of the fractal phenomenon. The book presents the basics of the local fractional derivative operators and investigates some new results in the area of local integral transforms. - Provides applications of local fractional Fourier Series - Discusses definitions for local fractional Laplace transforms - Explains local fractional Laplace transforms coupled with analytical methods

Integral Transforms And Their Applications Second Edition

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Author : Lokenath Debnath
language : en
Publisher: CRC Press
Release Date : 2006-10-11

Integral Transforms And Their Applications Second Edition written by Lokenath Debnath and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-11 with Mathematics categories.

Keeping the style, content, and focus that made the first edition a bestseller, Integral Transforms and their Applications, Second Edition stresses the development of analytical skills rather than the importance of more abstract formulation. The authors provide a working knowledge of the analytical methods required in pure and applied mathematics, physics, and engineering. The second edition includes many new applications, exercises, comments, and observations with some sections entirely rewritten. It contains more than 500 worked examples and exercises with answers as well as hints to selected exercises. The most significant changes in the second edition include: New chapters on fractional calculus and its applications to ordinary and partial differential equations, wavelets and wavelet transformations, and Radon transform Revised chapter on Fourier transforms, including new sections on Fourier transforms of generalized functions, Poissons summation formula, Gibbs phenomenon, and Heisenbergs uncertainty principle A wide variety of applications has been selected from areas of ordinary and partial differential equations, integral equations, fluid mechanics and elasticity, mathematical statistics, fractional ordinary and partial differential equations, and special functions A broad spectrum of exercises at the end of each chapter further develops analytical skills in the theory and applications of transform methods and a deeper insight into the subject A systematic mathematical treatment of the theory and method of integral transforms, the book provides a clear understanding of the subject and its varied applications in mathematics, applied mathematics, physical sciences, and engineering.

Integral Transforms In Mathematical Physics Etc

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Author : Clement John Tranter
language : en
Publisher:
Release Date : 1956

Integral Transforms In Mathematical Physics Etc written by Clement John Tranter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1956 with categories.

Integral Transforms In Applied Mathematics

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Author : John W. Miles
language : en
Publisher: Cambridge University Press
Release Date : 1971-11-30

Integral Transforms In Applied Mathematics written by John W. Miles and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971-11-30 with Mathematics categories.

An intermediate-level text on the use of integral transforms in applied mathematics and engineering. Existing works either cover the subject in more elementary form or are advanced treatises. In a very lucid style the author deals with the use of this important mathematical tool to solve ordinary and partial differential equations in problems in electrical circuits, mechanical vibration and wave motion, heat conduction, and fluid mechanics. The book is divided into five parts covering integral transform pairs, the Laplace transform, Fourier transforms, Hankel transforms, and finite Fourier transforms. A basic knowledge of complex variables and elementary differential equations is assumed. There are many exercises and examples drawn from the above fields, tables of the transform pairs needed in the text, and a glossary of terms with which the student may be unfamiliar. For the student who seeks further background on the subject, an annotated bibliography is provided.

Mathematical Physics With Partial Differential Equations

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Author : James Kirkwood
language : en
Publisher: Academic Press
Release Date : 2012-01-20

Mathematical Physics With Partial Differential Equations written by James Kirkwood and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-20 with Mathematics categories.

Suitable for advanced undergraduate and beginning graduate students taking a course on mathematical physics, this title presents some of the most important topics and methods of mathematical physics. It contains mathematical derivations and solutions - reinforcing the material through repetition of both the equations and the techniques.