Algebraic Geometry and Commutative Algebra

Siegfried Bosch

ISBN 10: 1447175220 / ISBN 13: 9781447175223

Edité par Springer London, Springer London Apr 2022, 2022

A propos de cet article

Druck auf Anfrage Neuware - Printed after ordering - 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. Putting forward this idea, Grothendieck revolutionized Algebraic Geometry in the late 1950s by inventing schemes. Schemes now also play an important role in Algebraic Number Theory, a field that used to be far away from Geometry. The new point of view paved the way for spectacular progress, such as the proof of Fermat's Last Theorem by Wiles and Taylor.This book explains the scheme-theoretic approach to Algebraic Geometry for non-experts, while more advanced readers can use it to broaden their view on the subject. A separate part presents the necessary prerequisites from Commutative Algebra, thereby providing an accessible and self-contained introduction to advanced Algebraic Geometry.Every chapter of the book is preceded by a motivating introduction with an informal discussion of its contents and background. Typical examples, and an abundance of exercises illustrate each section. Therefore the book is an excellent companion for self-studying or for complementing skills that have already been acquired. It can just as well serve as a convenient source for(reading) course material and, in any case, as supplementary literature. The present edition is a critical revision of the earlier text.

N° de réf. du vendeur 9781447175223

Détails bibliographiques

• Titre: Algebraic Geometry and Commutative Algebra
• Éditeur: Springer London, Springer London Apr 2022
• Date de parution: 2022
• Langue: anglais
• ISBN à 10 chiffres: 1447175220
• ISBN à 13 chiffres: 9781447175223
• Reliure: Taschenbuch
• Édition: 2ème Édition
• État de l'article: Neu
• Dimensions: 235 L x 155 H x 28 P (en millimètres) 235 millimètres de largeur par 155 millimètres de hauteur par 28 millimètres de profondeur
• Poids: 774 grammes

A propos de ce titre

Synopsis

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. Putting forward this idea, Grothendieck revolutionized Algebraic Geometry in the late 1950s by inventing schemes. Schemes now also play an important role in Algebraic Number Theory, a field that used to be far away from Geometry. The new point of view paved the way for spectacular progress, such as the proof of Fermat's Last Theorem by Wiles and Taylor.

This book explains the scheme-theoretic approach to Algebraic Geometry for non-experts, while more advanced readers can use it to broaden their view on the subject. A separate part presents the necessary prerequisites from Commutative Algebra, thereby providing an accessible and self-contained introduction to advanced Algebraic Geometry.

Every chapter of the book is preceded by a motivating introduction with an informal discussion of its contents and background. Typical examples, and an abundance of exercises illustrate each section. Therefore the book is an excellent companion for self-studying or for complementing skills that have already been acquired. It can just as well serve as a convenient source for (reading) course material and, in any case, as supplementary literature. The present edition is a critical revision of the earlier text.

À propos de l?auteur

Prof. Dr. Siegfried Bosch, Mathematical Institute, University of Münster, Münster, Germany