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An Introduction to Laplace Transforms and Fourier Series

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Author(s): P.P.G. Dyke
Series: Springer Undergraduate Mathematics Series
Publisher: Springer
Year: 1999

Language: English
Pages: 264
Tags: Математика;Операционное исчисление;

Cover......Page 1
Title
......Page 4
Preface
......Page 8
Contents
......Page 12
I. The Laplace Transform
......Page 14
II. Further Properties of the Laplace Transform
......Page 26
III. Convolution and the Solution of Ordinary Differential Equations
......Page 50
IV. Fourier Series
......Page 92
V. Partial Differential Equations
......Page 124
VI. Fourier Transforms
......Page 142
VII. Complex Variables and Laplace Transforms
......Page 170
A. Solutions to Exercises
......Page 198
B. Table of Laplace Transforms
......Page 240
C. Linear Spaces
......Page 244
Bibliography
......Page 258
Index
......Page 260