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 applications in physical science; engineering; and applied mathematics.

This new edition of a successful student text provides a concise introduction to the theory and practice 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 applications 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 applications is reinforced by the inclusion of worked examples. The book assumes no previous knowledge of the subject; and will be invaluable to students of physics; electrical and electronic engineering; and computer science.

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  • 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
  • Citation
    • Full Title: A Student's Guide to Fourier Transforms with Applications in Physics and Engineering
    • Author/s:
    • ISBN-13: 9781139164917
    • Edition: 2nd Edition
    • Topic: Math
    • Subtopic: Mathematics
    • File Type: eBook
    • Idioma: English

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