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Modern Methods in Analytical Acoustics pp 3–45Cite as

Complex Variable Theory

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Abstract

Some techniques of complex variable theory, particularly contour integration, provide useful methods for dealing with certain problems of wave theory and are outlined in the present chapter. It is assumed that the reader will be reasonably familiar with the basic ideas of complex numbers, which are therefore described only briefly. The book by Carrier, (1966) provides a good account of basic theory with applications.

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References

  • Carrier, G.R., Krook, M. & Pearson, C.E. (1966). Functions of a Complex Variable: Theory and Techniques. McGraw-Hill.

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Authors and Affiliations

  1. University of Cambridge, UK

    D. G. Crighton (Fellow of St John’s College, Cambridge, and The Professor of Applied Mathematics and Head of the Department of Applied Mathematics and Theoretical Physics)

  2. Department of Engineering, University of Cambridge, UK

    A. P. Dowling (Fellow of Sidney Sussex College, Cambridge, and Reader in Acoustics) & J. E. Ffowcs Williams (Fellow of Emmanuel College, Cambridge, and The Rank Professor of Engineering (Acoustics)

  3. Technische Universität Berlin, Germany

    M. Heckl (Professor of the Institut für Technische Akustik)

  4. The Imperial College of Science and Technology, London, UK

    F. G. Leppington (Professor of Applied Mathematics, and Head of the Mathematics Department)

Authors
  1. D. G. Crighton
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  2. A. P. Dowling
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  3. J. E. Ffowcs Williams
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  4. M. Heckl
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  5. F. G. Leppington
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© 1992 Springer-Verlag Berlin Heidelberg

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Crighton, D.G., Dowling, A.P., Williams, J.E.F., Heckl, M., Leppington, F.G. (1992). Complex Variable Theory. In: Modern Methods in Analytical Acoustics. Springer, London. https://doi.org/10.1007/978-1-4471-0399-8_1

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  • DOI: https://doi.org/10.1007/978-1-4471-0399-8_1

  • Publisher Name: Springer, London

  • Print ISBN: 978-3-540-19737-9

  • Online ISBN: 978-1-4471-0399-8

  • eBook Packages: Springer Book Archive

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