Synopses & Reviews
This volume provides a basic understanding of Fourier series, Fourier transforms, and Laplace transforms. It is an expanded and polished version of the authors' notes for a one-semester course intended 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. The material is self contained with numerous exercises and various examples of applications.
Review
"With its frequent examples and exercises, the present book is eminently suitable for both self-study and a one-semester course." Choice
Synopsis
Textbook covering the basics of Fourier series, Fourier transforms and Laplace transforms.
Synopsis
This bookâs aim is to provide the reader with a basic understanding of Fourier series and transforms, and Laplace transforms. It is based on the authorsânotes for a one semester course. Prerequisites are a basic course in both calculus and linear algebra. Otherwise the material is self-contained with exercises and examples of applications.
Table of Contents
1. Notation and terminology; 2. Background: inner product spaces; 3. Fourier series; 4. Fourier transforms; 5. The Laplace transform; Appendices.