Research Catalog

Title

Theory of algebraic functions of one variable / Richard Dedekind and Heinrich Weber ; Translated and Introduced by John Stillwell.

Author

Dedekind, Richard, 1831-1916

Publication

Providence, R.I. : American Mathematical Society, 2012.

Items in the Library & Off-site

Details

Additional Authors

Weber, Heinrich, 1842-1913

Description

viii, 152 p. : ill.; 26 cm.

Summary

The 1882 Theorie der algebraischen Functionen einer Veränderlichen by Dedekind (1831-1916) and Weber (1842-1913) changed the direction of algebraic geometry and established its foundations by introducing methods from algebraic number theory. They used rings and ideals to give rigorous proofs of results that had previously been obtained in non-rigorous fashion, with the help of analysis and topology. Stillwell (mathematics, U. of San Francisco) believes that the paper still has gems for modern mathematicians that the standard commentaries do not mention. He presents the first English translation of it and provides commentary to the language and thinking of mathematics during the 19th century. Annotation ©2012 Book News, Inc., Portland, OR (booknews.com).

Series Statement

History of mathematics ; v. 39

Uniform Title

• Theorie der algebraischen Functionen einer Veränderlichen. English
• History of mathematics v. 39.

Alternative Title

Theorie der algebraischen Functionen einer Veränderlichen.

Subject

• Geschichte 1882
• Algebraic functions
• Geometry, Algebraic
• History and biography > History of mathematics and mathematicians > 19th century

Genre/Form

Quelle

Bibliography (note)

• Includes bibliographical references and index.

Contents

Translator's introduction -- From calculus to Abel's theory of algebraic curves -- Theory of algebraic functions of the one -- Fields of algebraic functions -- The points of the Riemann surface.

ISBN

• 9780821883303 (pbk. : alk. paper)
• 0821883305 (pbk. : alk. paper)

LCCN

^^2012011949

OCLC

• 792941459
• SCSB-12102150

Owning Institutions

Harvard Library