複素解析への招待（テキスト・第２版） Complex Analysis: An Invitation (2nd Edition) （2ND）

Rao, Murali/ Fournais, Soren/ Moller, Jacob Schach

World Scientific Publishing Co Pte Ltd（2015/03発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 424 p.
• 言語 ENG
• 商品コード 9789814579599
• DDC分類 515.9

Full 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.

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.