This text is designed for use in a senior undergraduate or graduate level course in Fourier Transforms. This text differs from many other fourier transform books in its emphasis on applications. Bracewell applies mathematical concepts to the physical world throughout this text, equipping students to think about the world and physics in terms of transforms. The pedagogy in this classic text is excellent. The author has included such tools as the pictorial dictionary of transforms and bibliographic references. In addition, there are many excellent problems throughout this book, which are more than mathematical exercises, often requiring students to think in terms of specific situations or asking for educated opinions. To aid students further, discussions of many of the problems can be found at the end of the book.

Table of Contents

1 Introduction

2 Groundwork

3 Convolution

4 Notation for Some Useful Functions

5 The Impulse Symbol 

6 The Basic Theorems 

7 Obtaining Transforms 

8 The Two Domains 

9 Waveforms, Spectra, Filters, and Linearity 

10 Sampling and Series 

11 The Discrete Fourier Transform and the FFT 

12 The Discrete Hartley Transform 

13 Relatives of the Fourier Transform 

14 The Laplace Transform 

15 Antennas and Optics 

16 Applications in Statistics 

17 Random Waveforms and Noise 

18 Heat Conduction and Diffusion 

19 Dynamic Power Spectra 

20 Tables of sine x, sinc2 x, and exp (-1rx2)

21 Solutions to Selected Problems 

22 Pictorial Dictionary of Fourier Transforms 

23 The Life of Joseph Fourier 

About the Author

Ronald Bracewell (Stanford, CT) is the L.M. Terman Professor Emeritus of Electrical Engineering at Stanford University.