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

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On Riemann's Theory of Algebraic Functions and Their Integrals: A Supplement to the Usual Treatises image
ISBN-10:

1537117114

ISBN-13:

9781537117119

Author(s): Klein, Félix
Released: Aug 15, 2016
Publisher: CreateSpace Independent Publishing Platform
Format: Paperback, 116 pages
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Description:

This volume introduces Riemann's approach to multiple-value functions and the geometrical representation of these functions by Riemann surfaces. It concentrates on the type of functions that can be defined upon these surfaces, restricting the treatment to rational functions and their integrals demonstrating how Riemann's mathematical ideas about Abelian integrals can be derived by reflecting upon the flow of electric current on surfaces. This work is one of the best introductions to the origins of topological problems.

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