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Fourier Series and Integral Transforms
Textbook covering the basics of Fourier series, Fourier transforms and Laplace transforms.
Allan Pinkus (Author), Samy Zafrany (Author)
9780521592093, Cambridge University Press
Hardback, published 10 July 1997
200 pages
23.5 x 15.7 x 1.6 cm, 0.39 kg
"With its frequent examples and exercises, the present book is eminently suitable for both self-study and a one-semester course." Choice
The aim of this book is to provide the reader with a basic understanding of Fourier series, Fourier transforms and Laplace transforms. The book is an expanded and polished version of the authors' notes for a one semester course, for students of mathematics, electrical engineering, physics and computer science. Prerequisites for readers of this book are a basic course in both calculus and linear algebra. Otherwise the material is self-contained with numerous exercises and various examples of applications.
1. Notation and terminology
2. Background: inner product spaces
3. Fourier series
4. Fourier transforms
5. The Laplace transform
Appendices.
Subject Areas: Functional analysis & transforms [PBKF]