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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Ponnusamy, Saminathan (Autor), Silverman, Herb (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2006.
Edición:1st ed. 2006.
Temas:
Functions of complex variables.
Mathematics.
Number theory.
Geometry.
Engineering mathematics.
Engineering-Data processing.
Functions of a Complex Variable.
Applications of Mathematics.
Several Complex Variables and Analytic Spaces.
Number Theory.
Mathematical and Computational Engineering Applications.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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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