By Emile Picard

This unmarried quantity comprises the 2 unique volumes, which have been written ten years except one another. the 1st quantity is a initial dialogue of a number of integrals and the linked geometry. The authors deal with the connections with algebraic surfaces and integrals of overall differentials. The final chapters of quantity I are dedicated to the learn of numerical invariants brought through Clebsch and Noether, and to the double integrals connected to them. the second one quantity is a extra constructed dialogue of either the geometry and the research of algebraic services, together with effects acquired by means of Picard, Castelnuovo, and Enriques within the time after the e-book of quantity I. lots of the geometry revolves round linear platforms of curves, both within the airplane or on a floor. there's additionally a unique bankruptcy at the geometry of hyperelliptic surfaces. the key a part of the research in quantity II is based on integrals of the second one style, together with their sessions and the variety of special such integrals in particular circumstances. The ebook concludes with a protracted component to notes on quite a few attention-grabbing issues.

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