A Student’s Guide to Fourier Transforms with Applications in Physics and Engineering – J. M. James – 2nd Edition


Fourier transform theory is of central importance in a vast range of in physical science; engineering; and applied mathematics.

This new edition of a successful text provides a concise introduction to the of Fourier transforms; using qualitative arguments wherever possible and avoiding unnecessary mathematics.

After a brief description of the basic ideas and theorems; the power of the technique is then illustrated by referring to particular in optics; spectroscopy; electronics and telecommunications. The rarely discussed but important field of multi-dimensional Fourier theory is covered; including a description of computer-aided tomography (CAT-scanning).

The final chapter discusses digital methods; with particular attention to the fast Fourier transform. Throughout; discussion of these is reinforced by the inclusion of worked examples. The assumes no previous knowledge of the subject; and will be invaluable to students of physics; electrical and engineering; and computer science.

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Table of Contents

1 - Physics and Fourier transforms
2 - Useful properties and theorems
3 - Applications 1: Fraunhofer diffraction
4 - Applications 2: signal analysis and communication theory
5 - Applications 3: spectroscopy and spectral line shapes
6 - Two-dimensional Fourier transforms
7 - Multi-dimensional Fourier transforms
8 - The formal complex Fourier transform
9 - Discrete and digital Fourier transforms

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