On Riemann's Theory of Algebraic Functions and Their Integrals

,Felix Klein

ISBN 10: 0486495523 / ISBN 13: 9780486495521

Published by Dover Publications Inc., 2003

About this Item

This work examines the 1st part of Riemann's Theory of Abelian Functions and is extremely useful in its formulations of the topological equivalents of Riemann's surfaces. 1893 edition. Includes 43 figures.

Seller Inventory # 0096386

Bibliographic Details

• Title: On Riemann's Theory of Algebraic Functions and Their Integrals
• Publisher: Dover Publications Inc.
• Publication Date: 2003
• Language: English
• ISBN 10: 0486495523
• ISBN 13: 9780486495521
• Binding: Hardback
• Condition: New

About this title

Synopsis

A consideration of the investigations in the first part of Riemann's Theory of Abelian Functions, this volume introduces Riemann's approach to multiple-value functions and the geometrical representation of these functions by what later became known as Riemann surfaces. It further concentrates on the kinds of functions that can be defined on these surfaces, confining the treatment to rational functions and their integrals, and then demonstrates how Riemann's mathematical ideas about Abelian integrals can be arrived at by thinking in terms of the flow of electric current on surfaces. Deeply significant in the area of complex functions, this work constitutes one of the best introductions to the origins of topological problems. Unabridged republication of the classic 1893 edition. 43 figures. Glossary.

About the Author

1862-1953