Algebraic Geometry and Commutative Algebra - Couverture souple

Bosch, Siegfried

 
9781447148289: Algebraic Geometry and Commutative Algebra
Couverture souple
ISBN 10 : 1447148282 ISBN 13 : 9781447148289
Editeur : Springer, 2012

Synopsis

This book explains schemes in algebraic geometry from a beginner's level up to advanced topics such as smoothness and ample invertible sheaves. Includes examples and exercises that illustrate each section.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

Algebraic geometry is a fascinating branch of mathematics that combines methods from both, algebra and geometry. It transcends the limited scope of pure algebra by means of geometric construction principles. Moreover, Grothendieck's schemes invented in the late 1950s allowed the application of algebraic-geometric methods in fields that formerly seemed to be far away from geometry, like algebraic number theory. The new techniques paved the way to spectacular progress such as the proof of Fermat's Last Theorem by Wiles and Taylor. The scheme-theoretic approach to algebraic geometry is explained for non-experts. More advanced readers can use the book to broaden their view on the subject. A separate part deals with the necessary prerequisites from commutative algebra. On a whole, the book provides a very accessible and self-contained introduction to algebraic geometry, up to a quite advanced level. Every chapter of the book is preceded by a motivating introduction with an informal discussion of the contents. Typical examples and an abundance of exercises illustrate each section. This way the book is an excellent solution for learning by yourself or for complementing knowledge that is already present. It can equally be used as a convenient source for courses and seminars or as supplemental literature.

Présentation de l'éditeur

This book explains schemes in algebraic geometry from a beginner's level up to advanced topics such as smoothness and ample invertible sheaves. Includes examples and exercises that illustrate each section.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2012
Langue
anglais
ISBN 10 
1447148282
ISBN 13 
9781447148289
Reliure
Broché
Nombre de pages
516
Coordonnées du fabricant
non disponible
Personne responsable
CMN Printpool Inh. Mathis Neumann
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Friedrich-Karl-Str. 9
Hamburg
Allemagne

Autres éditions populaires du même titre

9781447148302: Algebraic Geometry and Commutative Algebra

Edition présentée

ISBN 10 :  1447148304 ISBN 13 :  9781447148302
Editeur : Springer, 2012
Couverture souple