Contributions to the Theory of Riemann Surfaces. (AM-30), Volume 30

by Lars Valerian Ahlfors (Editor), E. Calabi (Editor), Marston Morse (Editor), Leo Sario (Editor), Donald Clayton Spencer (Editor)

Overview

A classic treatment of Riemann surfaces from the acclaimed Annals of Mathematics Studies series

Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century.

To mark the continued success of the series, all books are available in paperback and as ebooks.

Product Details

ISBN-13:	9781400828371
Publisher:	Princeton University Press
Publication date:	08/01/1953
Series:	Annals of Mathematics Studies , #30
Sold by:	Barnes & Noble
Format:	eBook
Pages:	264
File size:	12 MB
Note:	This product may take a few minutes to download.

Table of Contents

• Frontmatter, pg. i
• FOREWORD, pg. v
• CONTENTS, pg. vii
• DEVELOPMENT OP THE THEORY OF CONFORMAL MAPPING AND RIEMANN SURFACES THROUGH A CENTURY, pg. 1
• VARIATIONAL METHODS IN THE THEORY OF RIEMANN SURFACES, pg. 15
• SEMIGROUPS OP TRANSFORMATIONS OP A RIEMANN SURFACE INTO ITSELF, pg. 31
• AN EXTREMAL BOUNDARY VALUE PROBLEM, pg. 41
• ON DIRICHLET'S PRINCIPLE, pg. 49
• PROBLEM CONCERNING THE CONTINUATION OP RIEMANN SURFACES, pg. 55
• CONSTRUCTION OF FUNCTIONS WITH PRESCRIBED PROPERTIES ON RIEMANN SURFACES, pg. 63
• METRIC RIEMANN SURFACES, pg. 77
• SOME RESULTS RELATED TO EXTREMAL LENGTH, pg. 87
• RANDOM WALK AND THE TYPE PROBLEM OP RIEMANN SURFACES, pg. 95
• CONSTRUCTION OF PARABOLIC RIEMANN SURFACES BY THE GENERAL REFLECTION PRINCIPLE, pg. 103
• THE IDEAL BOUNDARY OF A RIEMANN SURFACE, pg. 107
• TOPOLOGICAL METHODS ON RIEMANN SURFACES PSEUDOHARMONIC FUNCTIONS, pg. 111
• COVERINGS OP RIEMANN SURFACES, pg. 141
• PARTIAL DIFFERENTIAL EQUATIONS AND PSEUDO-ANALYTIC . FUNCTIONS ON RIEMANN SURFACES, pg. 157
• DIRICHLET'S PRINCIPLE AND SOME INEQUALITIES IN THE THEORY OF CONFORMAL MAPPING, pg. 167
• ON THE EFFECTIVE DETERMINATION OF CONFORMAL MAPS, pg. 177
• STRUCTURE OF COMPLEX SPACES, pg. 189
• REAL AND COMPLEX OPERATORS ON MANIFOLDS, pg. 203
• MULTIVALUED SOLUTIONS OF LINEAR PARTIAL DIFFERENTIAL EQUATIONS, pg. 229
• THE THEOREM OF RIEMANN-ROCH FOR ADJOINT SYSTEMS ON KÄHLERIAN VARIETIES, pg. 247