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Riemann Surfaces

  • Textbook
  • © 1980

Overview

Part of the book series: Graduate Texts in Mathematics (GTM, volume 71)

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Table of contents (8 chapters)

Keywords

About this book

The present volume is the culmination often years' work separately and joint­ ly. The idea of writing this book began with a set of notes for a course given by one of the authors in 1970-1971 at the Hebrew University. The notes were refined serveral times and used as the basic content of courses given sub­ sequently by each of the authors at the State University of New York at Stony Brook and the Hebrew University. In this book we present the theory of Riemann surfaces and its many dif­ ferent facets. We begin from the most elementary aspects and try to bring the reader up to the frontier of present-day research. We treat both open and closed surfaces in this book, but our main emphasis is on the compact case. In fact, Chapters III, V, VI, and VII deal exclusively with compact surfaces. Chapters I and II are preparatory, and Chapter IV deals with uniformization. All works on Riemann surfaces go back to the fundamental results of Rie­ mann, Jacobi, Abel, Weierstrass, etc. Our book is no exception. In addition to our debt to these mathematicians of a previous era, the present work has been influenced by many contemporary mathematicians.

Authors and Affiliations

  • Department of Mathematics, The Hebrew University of Jerusalem, Jerusalem, Israel

    Hershel M. Farkas

  • Department of Mathematics, S.U.N.Y. at Stony Brook, Stony Brook, USA

    Irwin Kra

Bibliographic Information

  • Book Title: Riemann Surfaces

  • Authors: Hershel M. Farkas, Irwin Kra

  • Series Title: Graduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4684-9930-8

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1980

  • eBook ISBN: 978-1-4684-9930-8Published: 06 December 2012

  • Series ISSN: 0072-5285

  • Series E-ISSN: 2197-5612

  • Edition Number: 1

  • Number of Pages: XI, 340

  • Topics: Analysis, Algebraic Geometry

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