Description

Book Synopsis
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.

Complex Analysis: An Invitation (2nd Edition)

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    A Paperback / softback by Murali Rao, Soren Fournais, Jacob Schach Moller

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      Publisher: World Scientific Publishing Co Pte Ltd
      Publication Date: Publication Date: 26/03/2015
      ISBN13: 9789814579599, 978-9814579599
      ISBN10: 9814579599

      Description

      Book Synopsis
      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.

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