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  3. A Student's Guide to Fourier Transforms
  • Cited by 50
Publisher:
Cambridge University Press
Online publication date:
June 2012
Print publication year:
2011
Online ISBN:
9780511762307
DOI:
https://doi.org/10.1017/CBO9780511762307
Series:
Student's Guides
Subjects:
Physics and Astronomy, Engineering, Mathematical Methods, General and Classical Physics, Engineering: General Interest, Engineering Mathematics and Programming
Information

Book description

Fourier transform theory is of central importance in a vast range of applications in physical science, engineering and applied mathematics. Providing a concise introduction to the theory and practice of Fourier transforms, this book is invaluable to students of physics, electrical and electronic engineering, and computer science. After a brief description of the basic ideas and theorems, the power of the technique is illustrated through 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 Axial Tomography (CAT scanning). The book concludes by discussing digital methods, with particular attention to the Fast Fourier Transform and its implementation. This new edition has been revised to include new and interesting material, such as convolution with a sinusoid, coherence, the Michelson stellar interferometer and the van Cittert–Zernike theorem, Babinet's principle and dipole arrays.

Reviews

From previous editions:'It is the wide range of topics that makes this book so appealing … I highly recommend this book for the advanced student … Even the expert who wants a deeper appreciation of the Fourier transform will find the book useful.'

Source: Computers in Physics

'… this is an excellent book to initiate students who possess a reasonable mathematical background to the use of Fourier transforms …'

Source: Microscopy and Analysis

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Contents

Contents
References
Bibliography
Bibliography
Abramowitz, M. & Stegun, I. A.Handbook of Mathematical Functions. Dover, New York. 1965
Bracewell, R. N.The Fourier Transform and its Applications. McGraw–Hill, New York. 1965
Brigham, E. O.The Fast Fourier Transform. Prentice Hall, New York. 1974
Champeney, D. C.Fourier Transforms and Their Physical Applications. Academic Press, London & New York. 1973
Champeney, D. C.A Handbook of Fourier Theorems. Cambridge University Press, Cambridge. 1987
Herman, G. T.Image Reconstruction from Projections. Academic Press, London & New York. 1980
Jahnke, E. & Emde, F.Tables of Functions with Formulae and Curves. Dover, New York. 1943
Körner, T. W.Fourier Analysis. Cambridge University Press, Cambridge. 1988
Titchmarsh, E. C.An Introduction to the Theory of Fourier Integrals. Clarendon Press, Oxford. 1962
Watson, G. N.A Treatise of the Theory of Bessel Functions. Cambridge University Press, Cambridge. 1962
Whittaker, J. M.Interpolary Function Theory. Cambridge University Press, Cambridge. 1935
Wolf, E.Introduction to the Theory of Coherence and Polarization of Light. Cambridge University Press, Cambridge. 2007

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