Complex Analysis In the Spirit of Lipman Bers /

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This book is intended for a graduate course in complex analysis, where 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 areas of mathematics, including the theory of several finitely and infinitely many complex...

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Détails bibliographiques
Cote:Libro Electrónico
Auteurs principaux: Rodríguez, Rubí E. (Auteur), Kra, Irwin (Auteur), Gilman, Jane P. (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: New York, NY : Springer New York : Imprint: Springer, 2013.
Édition:2nd ed. 2013.
Collection:Graduate Texts in Mathematics, 245
Sujets:
Functions of complex variables.
Functions of a Complex Variable.
Accès en ligne:Texto Completo
Table des matières:
  • Preface to Second Edition
  • Preface to First Edition
  • Standard Notation and Commonly Used Symbols
  • 1 The Fundamental Theorem in Complex Function Theory
  • 2 Foundations
  • 3 Power Series
  • 4 The Cauchy Theory - A Fundamental Theorem
  • 5 The Cauchy Theory - Key Consequences
  • 6 Cauchy Theory: Local Behavior and Singularities of Holomorphic Functions
  • 7 Sequences and Series of Holomorphic Functions
  • 8 Conformal Equivalence and Hyperbolic Geometry
  • 9 Harmonic Functions
  • 10 Zeros of Holomorphic Functions
  • Bibliographical Notes
  • Bibliography
  • Index.

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