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

Klein, Felix

 
9781537117119: On Riemann's Theory of Algebraic Functions and Their Integrals: A Supplement to the Usual Treatises

Synopsis

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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Présentation de l'éditeur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

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