Download E-books Theorie des fonctions algebriques de deux variables independantes, Volumes I and II (AMS Chelsea Publishing) PDF

By Emile Picard

This unmarried quantity comprises the 2 unique volumes, that 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 by means of 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 capabilities, together with effects acquired by means of Picard, Castelnuovo, and Enriques within the time after the booklet of quantity I. many of the geometry revolves round linear platforms of curves, both within the airplane or on a floor. there's additionally a different bankruptcy at the geometry of hyperelliptic surfaces. the foremost a part of the research in quantity II is headquartered on integrals of the second one style, together with their sessions and the variety of specified such integrals in particular situations. The publication concludes with a protracted part of notes on quite a few attention-grabbing subject matters.

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