Complex Analysis : In the Spirit of Lipman Bers

Complex Analysis In the Spirit of Lipman Bers

This book is intended for a graduate course on complex analysis, also known as function theory. The main focus is the theory of complex-valued functions of a single complex variable. This theory is a prerequisite for the study of many current and rapidly developing areas of mathematics including the...

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Detalles Bibliográficos
Autores principales: Gilman, Jane P. author (author), Kra, Irwin. author, Rodríguez, Rubí E. author
Formato: Libro electrónico
Idioma:Inglés
Publicado: New York, NY : Springer New York 2007.
Edición:1st ed. 2007.
Colección:Graduate Texts in Mathematics, 245
Materias:
Functions of complex variables.
Functions of a Complex Variable.
Several Complex Variables and Analytic Spaces.
Ver en Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009462132606719
Tabla de Contenidos:
  • The Fundamental Theorem in Complex Function Theory
  • Foundations
  • Power Series
  • The Cauchy Theory–A Fundamental Theorem
  • The Cauchy Theory–Key Consequences
  • Cauchy Theory: Local Behavior and Singularities of Holomorphic Functions
  • Sequences and Series of Holomorphic Functions
  • Conformal Equivalence
  • Harmonic Functions
  • Zeros of Holomorphic Functions.

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