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An Introduction to Laplace Transforms and Fourier Series : Springer Undergraduate Mathematics - Phil Dyke

An Introduction to Laplace Transforms and Fourier Series

Springer Undergraduate Mathematics

By: Phil Dyke


Published: 27th October 2000
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Published: 7th April 2014

This book has been primarily written for the student of mathematics who is in the second year or the early part of the third year of an undergraduate course. It will also be very useful for students of engineering and the physical sciences for whom Laplace Transforms continue to be an extremely useful tool. The book demands no more than an elementary knowledge of calculus and linear algebra of the type found in many first year mathematics modules for applied subjects. For mathematics majors and specialists, it is not the mathematics that will be challenging but the applications to the real world. The author is in the privileged position of having spent ten or so years outside mathematics in an engineering environment where the Laplace Transform is used in anger to solve real problems, as well as spending rather more years within mathematics where accuracy and logic are of primary importance. This book is written unashamedly from the point of view of the applied mathematician. The Laplace Transform has a rather strange place in mathematics. There is no doubt that it is a topic worthy of study by applied mathematicians who have one eye on the wealth of applications; indeed it is often called Operational Calculus.

The Laplace Transformp. 1
Further Properties of the Laplace Transformp. 13
Convolution and the Solution of Ordinary Differential Equationsp. 37
Fourier Seriesp. 77
Partial Differential Equationsp. 109
Fourier Transformsp. 127
Complex Variables and Laplace Transformsp. 155
A: Solutions to Exercisesp. 183
Table of Laplace Transformsp. 225
Linear Spacesp. 229
Bibliographyp. 243
Indexp. 245
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9781852330156
ISBN-10: 1852330155
Series: Springer Undergraduate Mathematics
Audience: General
Format: Paperback
Language: English
Number Of Pages: 250
Published: 27th October 2000
Publisher: Springer London Ltd
Country of Publication: GB
Dimensions (cm): 23.32 x 16.1  x 1.4
Weight (kg): 0.37