Complex Variables with Applications

Complex Variables with Applications by Saminathan Ponnusamy, Herb Silverman.

Complex numbers can be viewed in several ways: as an element in a field, as a point in the plane, and as a two-dimensional vector. Examined properly, each perspective provides crucial insight into the interrelations between the complex number system and its parent, the real number system. The author...

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Bibliographic Details
Main Authors: Ponnusamy, Saminathan (Author), Silverman, Herb (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2006.
Edition:1st ed. 2006.
Series:Springer eBook Collection.
Subjects:
Functions of complex variables.
Applied mathematics.
Engineering mathematics.
Number theory.
Geometry.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • Algebraic and Geometric Preliminaries
  • Topological and Analytic Preliminaries
  • Bilinear Transformations and Mappings
  • Elementary Functions
  • Analytic Functions
  • Power Series
  • Complex Integration and Cauchy’s Theorem
  • Applications of Cauchy’s Theorem
  • Laurent Series and the Residue Theorem
  • Harmonic Functions
  • Conformal Mapping and the Riemann Mapping Theorem
  • Entire and Meromorphic Functions
  • Analytic Continuation.

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