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Theorie des Fonctions Algebriques de Deux Variables Independantes : AMS Chelsea Publishing - Emile Picard

Theorie des Fonctions Algebriques de Deux Variables Independantes

AMS Chelsea Publishing

Hardcover Published: January 1997
ISBN: 9780828402484
Number Of Pages: 784

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This single volume contains the two original volumes, which were written ten years apart from each other. The first volume is a preliminary discussion of multiple integrals and the associated geometry. The authors treat the connections with algebraic surfaces and integrals of total differentials. The last two chapters of Volume I are devoted to the study of numerical invariants introduced by Clebsch and Noether, and to the double integrals attached to them.The second volume is a more developed discussion of both the geometry and the analysis of algebraic functions, including results obtained by Picard, Castelnuovo, and Enriques in the time after the publication of Volume I. Most of the geometry revolves around linear systems of curves, either in the plane or on a surface. There is also a special chapter on the geometry of hyperelliptic surfaces. The major part of the analysis in Volume II is centered on integrals of the second kind, including their periods and the number of distinct such integrals in specific instances. The book concludes with a long section of notes on various interesting topics.

Tome I: Des integrales multiples de fonctions de plusieurs variables Sur la geometrie de situation (analysis situs) Des integrales de fonctions rationnelles de deux variables complexes Singularites d'une surface algebrique des invariants d'une surface au point de vue de la geometrie de situation Sur les integrales de differentielles totales de premiere espece Des integrales de differentielles totales de seconde espece et de troisieme espece Des integrales doubles de premiere espece et des invariants qui s'y rapportent Sur les courbes gauches algebriques et la formule susceptible de donner le genre d'une surface Tome II: Theoreme de Noether relatif aux courbes et surfaces passant par l'intersection de deux autres La geometrie sur une courbe algebrique Des systemes lineaires de courbes dans un plan Systemes lineaires de surfaces: Surfaces sous-adjointes et surfaces adjointes Des systemes lineaires de courbes sur les surfaces Du systeme adjoint a un systeme lineaire de courbes et du genre numerique Sur les integrales doubles de seconde espece Suite de l'etude des integrales doubles de seconde espece Sur les integrales de differentielles totales de troisieme espece Des relations entre la theorie des integrales doubles de seconde espece et celle des integrales de differentielles totales Sur les periodes des integrables doubles et leurs rapports avec la theorie des integrales doubles de seconde espece Sur la formule generale donnant le nombre des integrales doubles distinctes de seconde espece Sur les nombres des integrales de differentielles totales de premiere et de seconde espece d'une surface Sur les surfaces hyperelliptiques Note I Note II Note III Note IV Note V Additions
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ISBN: 9780828402484
ISBN-10: 0828402485
Series: AMS Chelsea Publishing
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 784
Published: January 1997
Publisher: American Mathematical Society
Country of Publication: US
Dimensions (cm): 21.59 x 14.61  x 4.45
Weight (kg): 0.94
Edition Number: 2

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