An introduction to Laplace transforms and Fourier series

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. Cover......Page p0001.djvu Title\r......Page p0004.djvu Preface\r......Page p0008.djvu Contents\r......Page p0012.djvu I. The Laplace Transform\r......Page p0014.djvu II. Further Properties of the Laplace Transform\r......Page p0026.djvu III. Convolution and the Solution of Ordinary Differential Equations\r......Page p0050.djvu IV. Fourier Series\r......Page p0092.djvu V. Partial Differential Equations\r......Page p0124.djvu VI. Fourier Transforms\r......Page p0142.djvu VII. Complex Variables and Laplace Transforms\r......Page p0170.djvu A. Solutions to Exercises\r......Page p0198.djvu B. Table of Laplace Transforms\r......Page p0240.djvu C. Linear Spaces\r......Page p0244.djvu Bibliography\r......Page p0258.djvu Index\r......Page p0260.djvu