Complex Analysis In the Spirit of Lipman Bers /

• Κύριοι συγγραφείς: Rodríguez, Rubí E. (Συγγραφέας), Kra, Irwin (Συγγραφέας), Gilman, Jane P. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2013.
• Έκδοση: 2nd ed. 2013.
• Σειρά: Graduate Texts in Mathematics, 245
• Θέματα: Mathematics.; Functions of complex variables.; Functions of a Complex Variable.

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...

Πίνακας περιεχομένων:

• 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.