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Complex Variables with Applications

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, Silverman, Herb (Author)
Format: eBook
Language:English
Published: Boston, MA Birkhäuser 2006, 2006
Edition:1st ed. 2006
Subjects:
Several Complex Variables And Analytic Spaces
Number Theory
Engineering Mathematics
Functions Of Complex Variables
Functions Of A Complex Variable
Geometry
Engineering / Data Processing
Applications Of Mathematics
Mathematics
Mathematical And Computational Engineering Applications
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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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