An Introduction to Laplace Transforms and Fourier Series

An Introduction to Laplace Transforms and Fourier Series PDF Author: P.P.G. Dyke
Publisher: Springer Science & Business Media
ISBN: 1447105052
Category : Mathematics
Languages : en
Pages : 257

Book Description
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.

An Introduction to Laplace Transforms and Fourier Series

An Introduction to Laplace Transforms and Fourier Series PDF Author: Phil Dyke
Publisher: Springer Science & Business Media
ISBN: 9781852330156
Category : Mathematics
Languages : en
Pages : 266

Book Description
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.

An Introduction to Laplace Transforms and Fourier Series

An Introduction to Laplace Transforms and Fourier Series PDF Author: Phil Dyke
Publisher: Springer Science & Business Media
ISBN: 1447163958
Category : Mathematics
Languages : en
Pages : 325

Book Description
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.

Fourier and Laplace Transforms

Fourier and Laplace Transforms PDF Author:
Publisher: Cambridge University Press
ISBN: 9780521534413
Category : Mathematics
Languages : en
Pages : 468

Book Description
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.

Fourier Series and Integral Transforms

Fourier Series and Integral Transforms PDF Author: Allan Pinkus
Publisher: Cambridge University Press
ISBN: 9780521597715
Category : Mathematics
Languages : en
Pages : 204

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

Laplace Transforms and Their Applications to Differential Equations

Laplace Transforms and Their Applications to Differential Equations PDF Author: N.W. McLachlan
Publisher: Courier Corporation
ISBN: 0486798232
Category : Mathematics
Languages : en
Pages : 241

Book Description
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.

An Introduction to Fourier Series and Integrals

An Introduction to Fourier Series and Integrals PDF Author: Robert T. Seeley
Publisher: Courier Corporation
ISBN: 0486151794
Category : Mathematics
Languages : en
Pages : 116

Book Description
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.
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