Complex Analysis In the Spirit of Lipman Bers /

• Κύριοι συγγραφείς: Gilman, Jane P. (Συγγραφέας), Kra, Irwin (Συγγραφέας), Rodríguez, Rubí E. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2007.
• Σειρά: Graduate Texts in Mathematics, 245
• Θέματα: Mathematics.; Functions of complex variables.; Functions of a Complex Variable.; Several Complex Variables and Analytic Spaces.

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...

Πίνακας περιεχομένων:

• 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.