Integral Transforms And Fourier Series

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Fourier Series And Integral Transforms

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Author : Allan Pinkus
language : en
Publisher: Cambridge University Press
Release Date : 1997-07-10

Fourier Series And Integral Transforms written by Allan Pinkus 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 1997-07-10 with Mathematics categories.

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

Fourier Series And Integral Transforms

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Author : Allan Pinkus
language : en
Publisher: Cambridge University Press
Release Date : 1997-07-10

Fourier Series And Integral Transforms written by Allan Pinkus 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 1997-07-10 with Mathematics categories.

This volume provides a basic understanding of Fourier series, Fourier transforms, and Laplace transforms. It is an expanded and polished version of the authors' notes for a one-semester course intended for students of mathematics, electrical engineering, physics and computer science. Prerequisites for readers of this book are a basic course in both calculus and linear algebra. The material is self contained with numerous exercises and various examples of applications.

Integral Transforms And Fourier Series

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Author : A. N. Srivastava
language : en
Publisher:
Release Date : 2012

Integral Transforms And Fourier Series written by A. N. Srivastava and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.

Presents the fundamentals of Integral Transforms and Fourier Series with their applications in diverse fields including engineering mathematics. Beginning with the basic ideas, concepts, methods and related theorems of Laplace Transforms and their applications the book elegantly deals in detail the theory of Fourier Series along with application of Drichlet's theorem to Fourier Series. The book also covers the basic concepts and techniques in Fourier Transform, Fourier Sine and Fourier Cosine transform of a variety of functions in different types of intervals with applications to boundary value problems are the special features of this section of the book. Large number of solved and unsolved problems with hints. Excellent book for self study. Will not only cater to the needs of UG & advance UG students of various universities but will be equally useful for engineering graduates and to those appearing for various competitive exams.

An Introduction To Laplace Transforms And Fourier Series

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Author : Phil Dyke
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-10-27

An Introduction To Laplace Transforms And Fourier Series written by Phil Dyke 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 2000-10-27 with Mathematics categories.

This introduction to Laplace transforms and Fourier series is aimed at second year students in applied mathematics. It is unusual in treating Laplace transforms at a relatively simple level with many examples. Mathematics students do not usually meet this material until later in their degree course but applied mathematicians and engineers need an early introduction. Suitable as a course text, it will also be of interest to physicists and engineers as supplementary material.

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 Science And Engineering

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Author : K. Wolf
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-21

Integral Transforms In Science And Engineering written by K. Wolf 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 2013-11-21 with Social Science categories.

Integral transforms are among the main mathematical methods for the solution of equations describing physical systems, because, quite generally, the coupling between the elements which constitute such a system-these can be the mass points in a finite spring lattice or the continuum of a diffusive or elastic medium-prevents a straightforward "single-particle" solution. By describing the same system in an appropriate reference frame, one can often bring about a mathematical uncoupling of the equations in such a way that the solution becomes that of noninteracting constituents. The "tilt" in the reference frame is a finite or integral transform, according to whether the system has a finite or infinite number of elements. The types of coupling which yield to the integral transform method include diffusive and elastic interactions in "classical" systems as well as the more common quantum-mechanical potentials. The purpose of this volume is to present an orderly exposition of the theory and some of the applications of the finite and integral transforms associated with the names of Fourier, Bessel, Laplace, Hankel, Gauss, Bargmann, and several others in the same vein. The volume is divided into four parts dealing, respectively, with finite, series, integral, and canonical transforms. They are intended to serve as independent units. The reader is assumed to have greater mathematical sophistication in the later parts, though.

Advanced Engineering Mathematics

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Author : Dennis Zill
language : en
Publisher: Jones & Bartlett Learning
Release Date : 2011

Advanced Engineering Mathematics written by Dennis Zill and has been published by Jones & Bartlett Learning this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.

Accompanying CD-ROM contains ... "a chapter on engineering statistics and probability / by N. Bali, M. Goyal, and C. Watkins."--CD-ROM label.

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.

Fourier Series Fourier Transform And Their Applications To Mathematical Physics

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Author : Valery Serov
language : en
Publisher: Springer
Release Date : 2018-08-31

Fourier Series Fourier Transform And Their Applications To Mathematical Physics written by Valery Serov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-31 with Mathematics categories.

This text serves as an introduction to the modern theory of analysis and differential equations with applications in mathematical physics and engineering sciences. Having outgrown from a series of half-semester courses given at University of Oulu, this book consists of four self-contained parts. The first part, Fourier Series and the Discrete Fourier Transform, is devoted to the classical one-dimensional trigonometric Fourier series with some applications to PDEs and signal processing. The second part, Fourier Transform and Distributions, is concerned with distribution theory of L. Schwartz and its applications to the Schrödinger and magnetic Schrödinger operations. The third part, Operator Theory and Integral Equations, is devoted mostly to the self-adjoint but unbounded operators in Hilbert spaces and their applications to integral equations in such spaces. The fourth and final part, Introduction to Partial Differential Equations, serves as an introduction to modern methods for classical theory of partial differential equations. Complete with nearly 250 exercises throughout, this text is intended for graduate level students and researchers in the mathematical sciences and engineering.