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25 Remote Warehouse Mathematics- Analysis General

This title in other editions

Graduate Texts in Mathematics #0159: Functions of One Complex Variable II

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Graduate Texts in Mathematics #0159: Functions of One Complex Variable II Cover

 

Synopses & Reviews

Publisher Comments:

This book discusses a variety of problems which are usually treated in a second course on the theory of functions of one complex variable, the level being gauged for graduate students. It treats several topics in geometric function theory as well as potential theory in the plane, covering in particular: conformal equivalence for simply connected regions, conformal equivalence for finitely connected regions, analytic covering maps, de Branges' proof of the Bieberbach conjecture, harmonic functions, Hardy spaces on the disk, potential theory in the plane. A knowledge of integration theory and functional analysis is assumed.

Synopsis:

This book discusses a variety of problems which are usually treated in a second course on the theory of functions of one complex variable, the level being gauged for graduate students. It treats several topics in geometric function theory as well as potential theory in the plane, covering in particular: conformal equivalence for simply connected regions, conformal equivalence for finitely connected regions, analytic covering maps, de Branges' proof of the Bieberbach conjecture, harmonic functions, Hardy spaces on the disk, potential theory in the plane. A knowledge of integration theory and functional analysis is assumed.

Description:

Includes bibliographical references (p. [384]-388) and index.

Table of Contents

x Return to Basics
x Conformal Equivalence for Simply Connected Regions
x Conformal Equivalence for Finitely Connected Regions
x Analytic Covering Maps
x De Branges' Proof of the Bieberbach Conjecture
x Some Fundamental Concepts from Analysis
x Harmonic Functions Redux
x Hardy Spaces on the Disk
x Potential Theory in the Plane

Product Details

ISBN:
9780387944609
Author:
Conway, John B.
Publisher:
Springer
Location:
New York :
Subject:
Mathematical Analysis
Subject:
Functions of complex variables
Subject:
Potential theory
Subject:
Mathematics-Analysis General
Subject:
Vector Analysis
Copyright:
Edition Number:
1
Edition Description:
1995. Corr. 2nd
Series:
Graduate Texts in Mathematics
Series Volume:
0159
Publication Date:
May 1995
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
410
Dimensions:
235 x 155 mm 1670 gr

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Related Subjects

Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » Calculus » General

Graduate Texts in Mathematics #0159: Functions of One Complex Variable II New Hardcover
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Product details 410 pages Springer-Verlag - English 9780387944609 Reviews:
"Synopsis" by , This book discusses a variety of problems which are usually treated in a second course on the theory of functions of one complex variable, the level being gauged for graduate students. It treats several topics in geometric function theory as well as potential theory in the plane, covering in particular: conformal equivalence for simply connected regions, conformal equivalence for finitely connected regions, analytic covering maps, de Branges' proof of the Bieberbach conjecture, harmonic functions, Hardy spaces on the disk, potential theory in the plane. A knowledge of integration theory and functional analysis is assumed.
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