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On Riemann's Theory of Algebraic Functions and Their Integrals: A Supplement to the Usual Treatises

On Riemann's Theory of Algebraic Functions and Their Integrals: A Supplement to the Usual Treatises

By: Felix Klein

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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.

Unabridged republication of the 1893 edition.
AvailabilityUsually ships in 24 to 48 hours
ISBN 100486495523
ISBN 139780486495521
Author/EditorFelix Klein
FormatBook
Page Count96
Dimensions5 5/8 x 8 1/2

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