By Felix Klein
This quantity introduces Riemann's method of multiple-value services and the geometrical illustration of those services by means of Riemann surfaces. It concentrates at the form of services that may be outlined upon those surfaces, limiting the remedy to rational features and their integrals demonstrating how Riemann's mathematical rules approximately Abelian integrals might be derived by means of reflecting upon the movement of electrical present on surfaces. This paintings is without doubt one of the top introductions to the origins of topological difficulties.
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