Approximation, Complex Analysis, and Potential Theory

Paul M. Gauthier

ISBN 10: 1402000294 / ISBN 13: 9781402000294

Published by Springer, 2001

About this Item

Druck auf Anfrage Neuware - Printed after ordering - Hermann Weyl considered value distribution theory to be the greatest mathematical achievement of the first half of the 20th century. The present lectures show that this beautiful theory is still growing. An important tool is complex approximation and some of the lectures are devoted to this topic. Harmonic approximation started to flourish astonishingly rapidly towards the end of the 20th century, and the latest development, including approximation manifolds, are presented here.Since de Branges confirmed the Bieberbach conjecture, the primary problem in geometric function theory is to find the precise value of the Bloch constant. After more than half a century without progress, a breakthrough was recently achieved and is presented. Other topics are also presented, including Jensen measures.A valuable introduction to currently active areas of complex analysis and potential theory. Can be read with profit by both students of analysis and research mathematicians.

Seller Inventory # 9781402000294

Bibliographic Details

• Title: Approximation, Complex Analysis, and Potential Theory
• Publisher: Springer
• Publication Date: 2001
• Language: English
• ISBN 10: 1402000294
• ISBN 13: 9781402000294
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 234W x 156H x 16D millimeters 234 millimeters width by 156 millimeters height by 16 millimeters depth
• Weight: 442 grams

About this title

Synopsis

Hermann Weyl considered value distribution theory to be the greatest mathematical achievement of the first half of the 20th century. The present lectures show that this beautiful theory is still growing. An important tool is complex approximation and some of the lectures are devoted to this topic. Harmonic approximation started to flourish astonishingly rapidly towards the end of the 20th century, and the latest development, including approximation manifolds, are presented here.

Since de Branges confirmed the Bieberbach conjecture, the primary problem in geometric function theory is to find the precise value of the Bloch constant. After more than half a century without progress, a breakthrough was recently achieved and is presented. Other topics are also presented, including Jensen measures.

A valuable introduction to currently active areas of complex analysis and potential theory. Can be read with profit by both students of analysis and research mathematicians.