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  3. A Student's Guide to Fourier Transforms
  • Cited by 51
      • 3rd edition
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    • Publisher:
      Cambridge University Press
      Publication date:
      June 2012
      March 2011
      ISBN:
      9780511762307
      9780521176835
      DOI:
      https://doi.org/10.1017/CBO9780511762307
      Dimensions:
      Weight & Pages:
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.26kg, 156 Pages
      • Series:
      Student's Guides
      Subjects:
      Physics and Astronomy, Engineering, Mathematical Methods, General and Classical Physics, Engineering: General Interest, Engineering Mathematics and Programming
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    • Selected: Digital
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    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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