The Fourier Transform & Its Applications, 3/e (Paperback)

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.

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 sinc x, sinc2x, and exp(-71x2)
   21 Solutions to Selected Problems
   22 Pictorial Dictionary of Fourier Transforms
   23 The Life of Joseph Fourier