The Fourier Integral And Certain Of Its Application
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The Fourier Integral And Certain Of Its Applications
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Author : Norbert Wiener
language : en
Publisher: CUP Archive
Release Date : 1988-11-17
The Fourier Integral And Certain Of Its Applications written by Norbert Wiener and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-11-17 with Mathematics categories.
The book was written from lectures given at the University of Cambridge and maintains throughout a high level of rigour whilst remaining a highly readable and lucid account. Topics covered include the Planchard theory of the existence of Fourier transforms of a function of L2 and Tauberian theorems. The influence of G. H. Hardy is apparent from the presence of an application of the theory to the prime number theorems of Hadamard and de la Vallee Poussin. Both pure and applied mathematicians will welcome the reissue of this classic work. For this reissue, Professor Kahane's Foreword briefly describes the genesis of Wiener's work and its later significance to harmonic analysis and Brownian motion.
The Fourier Integral And Certain Of Its Applications
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Author : N. Wiener
language : en
Publisher:
Release Date : 1945
The Fourier Integral And Certain Of Its Applications written by N. Wiener and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1945 with categories.
The Fourier Integral And Certain Of Its Application
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Author : Norbert Wiener
language : en
Publisher:
Release Date : 1933
The Fourier Integral And Certain Of Its Application written by Norbert Wiener and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1933 with Integral operators categories.
Fourier Integral And Certain Of Its Applications
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Author : Norbert Wiener
language : en
Publisher:
Release Date : 2013-09
Fourier Integral And Certain Of Its Applications written by Norbert Wiener and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09 with categories.
The Fourier Integral And Certain Of Its Applications
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Author : Roelof Houwink
language : en
Publisher:
Release Date : 1959
The Fourier Integral And Certain Of Its Applications written by Roelof Houwink and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with categories.
Fourier Integral Operators
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Author : J.J. Duistermaat
language : en
Publisher: Springer Science & Business Media
Release Date : 1995-11-29
Fourier Integral Operators written by J.J. Duistermaat 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 1995-11-29 with Mathematics categories.
This volume is a useful introduction to the subject of Fourier Integral Operators and is based on the author’s classic set of notes. Covering a range of topics from Hörmander’s exposition of the theory, Duistermaat approaches the subject from symplectic geometry and includes application to hyperbolic equations (= equations of wave type) and oscillatory asymptotic solutions which may have caustics. This text is suitable for mathematicians and (theoretical) physicists with an interest in (linear) partial differential equations, especially in wave propagation, rep. WKB-methods.
An Introduction To Fourier Series And Integrals
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Author : Robert T. Seeley
language : en
Publisher: Courier Corporation
Release Date : 2006-10-06
An Introduction To Fourier Series And Integrals written by Robert T. Seeley and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-06 with Mathematics categories.
A compact, sophomore-to-senior-level guide, Dr. Seeley's text introduces Fourier series in the way that Joseph Fourier himself used them: as solutions of the heat equation in a disk. Emphasizing the relationship between physics and mathematics, Dr. Seeley focuses on results of greatest significance to modern readers. Starting with a physical problem, Dr. Seeley sets up and analyzes the mathematical modes, establishes the principal properties, and then proceeds to apply these results and methods to new situations. The chapter on Fourier transforms derives analogs of the results obtained for Fourier series, which the author applies to the analysis of a problem of heat conduction. Numerous computational and theoretical problems appear throughout the text.
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.
Tauberian Theory And Its Applications
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Author : Alekseĭ Georgievich Postnikov
language : en
Publisher: American Mathematical Soc.
Release Date : 1980
Tauberian Theory And Its Applications written by Alekseĭ Georgievich Postnikov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematics categories.
Integral Transforms And Their Applications
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Author : Lokenath Debnath
language : en
Publisher: CRC Press
Release Date : 2016-04-19
Integral Transforms And Their Applications 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 2016-04-19 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.