Table Of Content1. Notation and terminology; 2. Background: inner product spaces; 3. Fourier series; 4. Fourier transforms; 5. The Laplace transform; Appendices.
SynopsisThis 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., 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., This book's aim is to provide the reader with a basic understanding of Fourier series and transforms, and Laplace transforms. It is based on the authors' notes 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.