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Q&A | February 27, 2014

Rene Denfeld: IMG Powell’s Q&A: Rene Denfeld



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An Introduction to Laplace Transforms and Fourier Series (Springer Undergraduate Mathematics Series)

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An Introduction to Laplace Transforms and Fourier Series (Springer Undergraduate Mathematics Series) Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

Scientists and engineers who need to model problems must often use mathematical concepts, such as Laplace transforms and Fourier series. This introduction is intended for self-study, and contains many problems and fully worked-out solutions.

Synopsis:

This book is a self-contained introduction to Laplace Transforms and Fourier Series; emphasising the applications of Laplace transforms throughout, the book also provides coverage of the underlying pure mathematical structures. Alongside the Laplace transform, the notion of Fourier series is developed from first principles. Exercises are provided to consolidate understanding of the concepts and techniques, and only a knowledge of elementary calculus and trigonometry is assumed. For second and third year students looking for a rigorous and practical introduction to the subject, this book will be an invaluable source.

Synopsis:

Includes bibliographical references (p. 245-246) and index.

Table of Contents

The Laplace Transform.- Further Properties.- Convolution and the Solutions.- Fourier Series.- Partial Differential Equations.- Fourier Transforms.- Complex Variables and Laplace Transforms.- Appendices: A: Answers to Exercises.- B: Table of Laplace Transforms.- C: Linear Spaces.

Product Details

ISBN:
9781852330156
Author:
Dyke, Phillip P. G.
Author:
Dyke, P. P.
Author:
Dyke, P. P. G.
Publisher:
Springer
Location:
London
Subject:
Functional Analysis
Subject:
Transformations
Subject:
Laplace transformation
Subject:
Fourier series
Subject:
Mathematical Analysis
Subject:
Analysis
Subject:
Fourier analysis
Subject:
Mathematics : Functional Analysis
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Subject:
Global analysis (Mathematics)
Copyright:
Edition Number:
2nd printing 2001.
Edition Description:
2000. Corr. 2nd
Series:
Springer Undergraduate Mathematics Series
Series Volume:
no.5
Publication Date:
20021112
Binding:
TRADE PAPER
Language:
English
Illustrations:
Yes
Pages:
262
Dimensions:
235 x 178 mm 830 gr

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Related Subjects


Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » Differential Equations
Science and Mathematics » Mathematics » Functional Analysis

An Introduction to Laplace Transforms and Fourier Series (Springer Undergraduate Mathematics Series) New Trade Paper
0 stars - 0 reviews
$56.95 In Stock
Product details 262 pages Springer-Verlag - English 9781852330156 Reviews:
"Synopsis" by , Scientists and engineers who need to model problems must often use mathematical concepts, such as Laplace transforms and Fourier series. This introduction is intended for self-study, and contains many problems and fully worked-out solutions.
"Synopsis" by , This book is a self-contained introduction to Laplace Transforms and Fourier Series; emphasising the applications of Laplace transforms throughout, the book also provides coverage of the underlying pure mathematical structures. Alongside the Laplace transform, the notion of Fourier series is developed from first principles. Exercises are provided to consolidate understanding of the concepts and techniques, and only a knowledge of elementary calculus and trigonometry is assumed. For second and third year students looking for a rigorous and practical introduction to the subject, this book will be an invaluable source.
"Synopsis" by , Includes bibliographical references (p. 245-246) and index.
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