[PDF] An Introduction To Laplace Transforms And Fourier Series eBook

Author : P.P.G. Dyke
Publisher : Springer Science & Business Media
Page : 257 pages
File Size : 16,25 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1447105052

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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.

Author : Phil Dyke
Publisher : Springer Science & Business Media
Page : 266 pages
File Size : 22,74 MB
Release : 2000-10-27
Category : Mathematics
ISBN : 9781852330156

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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.

Author : Phil Dyke
Publisher : Springer Science & Business Media
Page : 325 pages
File Size : 40,37 MB
Release : 2014-03-24
Category : Mathematics
ISBN : 1447163958

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In this book, there is a strong emphasis on application with the necessary mathematical grounding. There are plenty of worked examples with all solutions provided. This enlarged new edition includes generalised Fourier series and a completely new chapter on wavelets. Only knowledge of elementary trigonometry and calculus are required as prerequisites. An Introduction to Laplace Transforms and Fourier Series will be useful for second and third year undergraduate students in engineering, physics or mathematics, as well as for graduates in any discipline such as financial mathematics, econometrics and biological modelling requiring techniques for solving initial value problems.

Author :
Publisher : Cambridge University Press
Page : 468 pages
File Size : 12,40 MB
Release : 2003-08-07
Category : Mathematics
ISBN : 9780521534413

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This textbook presents in a unified manner the fundamentals of both continuous and discrete versions of the Fourier and Laplace transforms. These transforms play an important role in the analysis of all kinds of physical phenomena. As a link between the various applications of these transforms the authors use the theory of signals and systems, as well as the theory of ordinary and partial differential equations. The book is divided into four major parts: periodic functions and Fourier series, non-periodic functions and the Fourier integral, switched-on signals and the Laplace transform, and finally the discrete versions of these transforms, in particular the Discrete Fourier Transform together with its fast implementation, and the z-transform. This textbook is designed for self-study. It includes many worked examples, together with more than 120 exercises, and will be of great value to undergraduates and graduate students in applied mathematics, electrical engineering, physics and computer science.

Author : Allan Pinkus
Publisher : Cambridge University Press
Page : 204 pages
File Size : 16,23 MB
Release : 1997-07-10
Category : Mathematics
ISBN : 9780521597715

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

Author : N.W. McLachlan
Publisher : Courier Corporation
Page : 241 pages
File Size : 27,38 MB
Release : 2014-08-20
Category : Mathematics
ISBN : 0486798232

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Classic graduate-level exposition covers theory and applications to ordinary and partial differential equations. Includes derivation of Laplace transforms of various functions, Laplace transform for a finite interval, and more. 1948 edition.

Author : Robert T. Seeley
Publisher : Courier Corporation
Page : 116 pages
File Size : 21,6 MB
Release : 2014-02-20
Category : Mathematics
ISBN : 0486151794

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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.