Fourier Series And Integrals

Author : Robert T. Seeley
Publisher : Courier Corporation
Page : 116 pages
File Size : 54,7 Mb
Release : 2014-02-20
Category : Mathematics
ISBN : 9780486151793

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An Introduction to Fourier Series and Integrals by Robert T. Seeley Pdf

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.

Author : H. Dym,H. P. McKean
Publisher : Academic Press
Page : 316 pages
File Size : 41,7 Mb
Release : 1985-10-28
Category : Mathematics
ISBN : UCSD:31822016450041

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Fourier Series and Integrals by H. Dym,H. P. McKean Pdf

The ideas of Fourier have made their way into every branch of mathematics and mathematical physics, from the theory of numbers to quantum mechanics. Fourier Series and Integrals focuses on the extraordinary power and flexibility of Fourier's basic series and integrals and on the astonishing variety of applications in which it is the chief tool. It presents a mathematical account of Fourier ideas on the circle and the line, on finite commutative groups, and on a few important noncommutative groups. A wide variety of exercises are placed in nearly every section as an integral part of the text.

Author : Horatio Scott Carslaw
Publisher : Legare Street Press
Page : 0 pages
File Size : 49,5 Mb
Release : 2022-10-27
Category : History
ISBN : 1015773303

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Introduction to the Theory of Fourier's Series and Integrals by Horatio Scott Carslaw Pdf

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Author : Harry Dym,Henry Pratt McKean,Henry P. McKean
Publisher : Unknown
Page : 312 pages
File Size : 55,9 Mb
Release : 1972
Category : Mathematics
ISBN : MINN:31951000508928G

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Fourier Series and Integrals by Harry Dym,Henry Pratt McKean,Henry P. McKean Pdf

Author : Allan Pinkus,Samy Zafrany
Publisher : Cambridge University Press
Page : 204 pages
File Size : 52,9 Mb
Release : 1997-07-10
Category : Mathematics
ISBN : 0521597714

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Fourier Series and Integral Transforms by Allan Pinkus,Samy Zafrany Pdf

Textbook covering the basics of Fourier series, Fourier transforms and Laplace transforms.

Author : Peter L. Walker
Publisher : Unknown
Page : 208 pages
File Size : 40,6 Mb
Release : 1986-06-03
Category : Mathematics
ISBN : UOM:39015015628418

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The Theory of Fourier Series and Integrals by Peter L. Walker Pdf

In this book, the author has drawn on his considerable experience of teaching analysis to give a concise explanation of the theory of Fourier series and integrals.

Author : Howard J. Wilcox,David L. Myers
Publisher : Courier Corporation
Page : 194 pages
File Size : 53,5 Mb
Release : 2012-04-30
Category : Mathematics
ISBN : 9780486137476

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An Introduction to Lebesgue Integration and Fourier Series by Howard J. Wilcox,David L. Myers Pdf

This book arose out of the authors' desire to present Lebesgue integration and Fourier series on an undergraduate level, since most undergraduate texts do not cover this material or do so in a cursory way. The result is a clear, concise, well-organized introduction to such topics as the Riemann integral, measurable sets, properties of measurable sets, measurable functions, the Lebesgue integral, convergence and the Lebesgue integral, pointwise convergence of Fourier series and other subjects. The authors not only cover these topics in a useful and thorough way, they have taken pains to motivate the student by keeping the goals of the theory always in sight, justifying each step of the development in terms of those goals. In addition, whenever possible, new concepts are related to concepts already in the student's repertoire. Finally, to enable readers to test their grasp of the material, the text is supplemented by numerous examples and exercises. Mathematics students as well as students of engineering and science will find here a superb treatment, carefully thought out and well presented , that is ideal for a one semester course. The only prerequisite is a basic knowledge of advanced calculus, including the notions of compactness, continuity, uniform convergence and Riemann integration.

Author : Norbert Wiener
Publisher : CUP Archive
Page : 228 pages
File Size : 48,7 Mb
Release : 1988-11-17
Category : Mathematics
ISBN : 0521358841

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The Fourier Integral and Certain of Its Applications by Norbert Wiener Pdf

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.

Author : Brett Borden,James Luscombe
Publisher : Morgan & Claypool Publishers
Page : 157 pages
File Size : 45,5 Mb
Release : 2017-10-31
Category : Science
ISBN : 9781681744865

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Essential Mathematics for the Physical Sciences, Volume 1 by Brett Borden,James Luscombe Pdf

Physics is expressed in the language of mathematics; it is deeply ingrained in how physics is taught and how it's practiced. A study of the mathematics used in science is thus asound intellectual investment for training as scientists and engineers. This first volume of two is centered on methods of solving partial differential equations (PDEs) and the special functions introduced. Solving PDEs can't be done, however, outside of the context in which they apply to physical systems. The solutions to PDEs must conform to boundary conditions, a set of additional constraints in space or time to be satisfied at the boundaries of the system, that small part of the universe under study. The first volume is devoted to homogeneous boundary-value problems (BVPs), homogeneous implying a system lacking a forcing function, or source function. The second volume takes up (in addition to other topics) inhomogeneous problems where, in addition to the intrinsic PDE governing a physical field, source functions are an essential part of the system. This text is based on a course offered at the Naval Postgraduate School (NPS) and while produced for NPS needs, it will serve other universities well. It is based on the assumption that it follows a math review course, and was designed to coincide with the second quarter of student study, which is dominated by BVPs but also requires an understanding of special functions and Fourier analysis.

Author : Edward Charles Titchmarsh
Publisher : Unknown
Page : 412 pages
File Size : 55,9 Mb
Release : 1967
Category : Fourier series
ISBN : UOM:49015000688060

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Introduction to the Theory of Fourier Integrals by Edward Charles Titchmarsh Pdf

Author : Peter L. Walker
Publisher : Unknown
Page : 200 pages
File Size : 54,9 Mb
Release : 1986-01-01
Category : Electronic
ISBN : 060805271X

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The Theory of Fourier Series and Integrals by Peter L. Walker Pdf

Author : Horatio Scott Carslaw
Publisher : Unknown
Page : 440 pages
File Size : 55,6 Mb
Release : 1930
Category : Definite integrals
ISBN : UCSD:31822014010458

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Introduction to the Theory of Fourier's Series and Integrals by Horatio Scott Carslaw Pdf

Author : Sreenadh S./ Ranganatham S./ Prasad M.V.S.S.N. & Babu, Ramesh V.
Publisher : S. Chand Publishing
Page : 128 pages
File Size : 46,6 Mb
Release : 2014
Category : Science
ISBN : 9789384319090

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Fourier Series and Integral Transforms by Sreenadh S./ Ranganatham S./ Prasad M.V.S.S.N. & Babu, Ramesh V. Pdf

For the Students of B.A., B.Sc. (Third Year) as per UGC MODEL CURRICULUM

Author : H. S. CARSLAW
Publisher : Unknown
Page : 0 pages
File Size : 41,8 Mb
Release : 2018
Category : Electronic
ISBN : 1033507733

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INTRODUCTION TO THE THEORY OF FOURIER'S SERIES AND INTEGRALS by H. S. CARSLAW Pdf

Author : Elias M. Stein,Rami Shakarchi
Publisher : Princeton University Press
Page : 326 pages
File Size : 49,7 Mb
Release : 2011-02-11
Category : Mathematics
ISBN : 9781400831234

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Fourier Analysis by Elias M. Stein,Rami Shakarchi Pdf

This first volume, a three-part introduction to the subject, is intended for students with a beginning knowledge of mathematical analysis who are motivated to discover the ideas that shape Fourier analysis. It begins with the simple conviction that Fourier arrived at in the early nineteenth century when studying problems in the physical sciences--that an arbitrary function can be written as an infinite sum of the most basic trigonometric functions. The first part implements this idea in terms of notions of convergence and summability of Fourier series, while highlighting applications such as the isoperimetric inequality and equidistribution. The second part deals with the Fourier transform and its applications to classical partial differential equations and the Radon transform; a clear introduction to the subject serves to avoid technical difficulties. The book closes with Fourier theory for finite abelian groups, which is applied to prime numbers in arithmetic progression. In organizing their exposition, the authors have carefully balanced an emphasis on key conceptual insights against the need to provide the technical underpinnings of rigorous analysis. Students of mathematics, physics, engineering and other sciences will find the theory and applications covered in this volume to be of real interest. The Princeton Lectures in Analysis represents a sustained effort to introduce the core areas of mathematical analysis while also illustrating the organic unity between them. Numerous examples and applications throughout its four planned volumes, of which Fourier Analysis is the first, highlight the far-reaching consequences of certain ideas in analysis to other fields of mathematics and a variety of sciences. Stein and Shakarchi move from an introduction addressing Fourier series and integrals to in-depth considerations of complex analysis; measure and integration theory, and Hilbert spaces; and, finally, further topics such as functional analysis, distributions and elements of probability theory.