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Riemann Surfaces : Problem Books in Mathematics - Hershel M. Farkas

Riemann Surfaces

Problem Books in Mathematics

Hardcover Published: 23rd December 1991
ISBN: 9780387977034
Number Of Pages: 366

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It is gratifying to learn that there is new life in an old field that has been at the center of one's existence for over a quarter of a century. It is particularly pleasing that the subject of Riemann surfaces has attracted the attention of a new generation of mathematicians from (newly) adjacent fields (for example, those interested in hyperbolic manifolds and iterations of rational maps) and young physicists who have been convinced (certainly not by mathematicians) that compact Riemann surfaces may play an important role in their (string) universe. We hope that non-mathematicians as well as mathematicians (working in nearby areas to the central topic of this book) will also learn part of this subject for the sheer beauty and elegance of the material (work of Weierstrass, Jacobi, Riemann, Hilbert, Weyl) and as healthy exposure to the way (some) mathematicians write about mathematics. We had intended a more comprehensive revision, including a fuller treatment of moduli problems and theta functions. Pressure of other commitments would have substantially delayed (by years) the appearance of the book we wanted to produce. We have chosen instead to make a few modest additions and to correct a number of errors. We are grateful to the readers who pointed out some of our mistakes in the first edition; the responsibility for the remaining mistakes carried over from the first edition and for any new ones introduced into the second edition remains with the authors. June 1991 Jerusalem H. M.

An Overview
Riemann Surfaces
Existence Theorems.
Compact Riemann Surfaces
Uniformization
Automorphisms of Compact Surfaces--Elementary Theory
Theta Functions
Examples
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780387977034
ISBN-10: 0387977031
Series: Problem Books in Mathematics
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 366
Published: 23rd December 1991
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.39 x 15.6  x 2.24
Weight (kg): 0.72
Edition Number: 2
Edition Type: Revised