Complex Variables

  • Richard M. Meyer
Part of the Universitext book series (UTX)


Applications of the complex number system, sometimes referred to as complex variables, form an essential tool in many areas of Applied Mathematics. The complex number system can be viewed as a useful generalization of the familiar real number system. For, if the real number system can be thought of as the familiar properties of points — called real numbers — on the real line, then the complex number system can be thought of as the yet-to-be-examined properties of points — called complex numbers — of the complex plane, of which the real line is its abscissa. Properties of the complex number system are determined by the special manner in which complex numbers are combined, that is, added, multiplied, etc.


Complex Number Complex Function Regular Function Annular Region Preceding Theorem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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References to Additional and Related Material: Section 13

  1. 1.
    Ash, R., “Complex Variables”, Academic Press (1971).Google Scholar
  2. 2.
    Brand, L., “Advanced Calculus”, John Wiley and Sons, Inc. (1958).Google Scholar
  3. 3.
    Churchill, R., “Complex Variables and Applications”, 2nd Ed., McGraw-Hill, Inc. (1960).zbMATHGoogle Scholar
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    Derrick, W., “Introductory Complex Analysis and Applications”, Academic Press (1972).Google Scholar
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    Eves, H., “Functions of a Complex Variable”, Prindle, Weber and Schmidt, Inc. (1966).Google Scholar
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    Forsyth, A., “Theory of Functions of a Complex Variable”, Dover Publications (1965).Google Scholar
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    Leadbetter, M., Lecture Notes, University of North Carolina at Chapel Hill, Department of Statistics (1963).Google Scholar
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    Spiegel, M., “Schaum’s Outline of Theory and Problems of Complex Variables”, Schaum Publishing Co. (1964).Google Scholar
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    Titchmarsh, E., “The Theory of Functions”, Second Edition, Oxford University Press (1960).Google Scholar

Copyright information

© Springer-Verlag New York Inc. 1979

Authors and Affiliations

  • Richard M. Meyer
    • 1
  1. 1.Niagara University, College of Arts and SciencesNiagara UniversityUSA

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