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Théorie des fonctions algébriques de deux variables indépendantes, Volumes I and II: Second Edition

AMS Chelsea Publishing: An Imprint of the American Mathematical Society
Available Formats:
Hardcover ISBN: 978-0-8284-0248-4
Product Code: CHEL/248
List Price: $68.00 MAA Member Price:$61.20
AMS Member Price: $61.20 Click above image for expanded view Théorie des fonctions algébriques de deux variables indépendantes, Volumes I and II: Second Edition AMS Chelsea Publishing: An Imprint of the American Mathematical Society Available Formats:  Hardcover ISBN: 978-0-8284-0248-4 Product Code: CHEL/248  List Price:$68.00 MAA Member Price: $61.20 AMS Member Price:$61.20
• Book Details

AMS Chelsea Publishing
Volume: 2481971; 784 pp
MSC: Primary 14; Secondary 01; 32;

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.

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Volume: 2481971; 784 pp
MSC: Primary 14; Secondary 01; 32;

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.

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