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An Introduction to Laplace Transforms and Fourier Series (Springer Undergraduate Mathematics) ISBN: 1852330155 ISBN13: 9781852330156 An Introduction to Laplace Transforms and Fourier Series (Springer Undergraduate Mathematics) By: Philip Dyke Publisher: Springer London Ltd Format: Paperback Our Price: 19.00

  Table of contents:

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.


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.


Brief Description:

The Laplace transform is a useful tool for solving practical mathematical problems. It has a wealth of applications (for example, engineers use it to solve engineering problems). This book takes introduces the basics of Laplace Transforms.

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