Complex analysis : an invitation
Author(s)
Bibliographic Information
Complex analysis : an invitation
World Scientific, c2015
2nd ed
- : [hardcover]
- : pbk
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Note
Includes bibliography (p. 401-407) and index
Description and Table of Contents
Description
This volume is an enlarged edition of a classic textbook on complex analysis. In addition to the classical material of the first edition it provides a concise and accessible treatment of Loewner theory, both in the disc and in the half-plane. Some of the new material has been described in research papers only or appears here for the first time. Each chapter ends with exercises.
Table of Contents
- The Residue Theorem
- Picard's Two Theorems
- The Riemann Mapping Theorem
- Runge's Approximation Theorems
- The Prime Number Theorem
- Harmonic and Subharmonic Functions
- Poisson's Formula
- Jordan's Curve Theorem
- Caratheodory's Extension Theorem
- Compact Hulls, Half-plane Hulls and their Capacities
- Caratheodory's Convergence Theorems
- Loewner Theory in the Disc and in the Half-plane.
by "Nielsen BookData"
