0

Algebraic Geometry and Commutative Algebra

Universitext

Erschienen am 23.04.2022, 2. Auflage 2022
69,54 €
(inkl. MwSt.)

Lieferbar innerhalb 1-3 Tagen

In den Warenkorb
Bibliografische Daten
ISBN/EAN: 9781447175223
Sprache: Englisch
Umfang: X, 504 S., 18 s/w Illustr., 504 p. 18 illus.
Format (T/L/B): 3 x 23.5 x 15.5 cm
Einband: kartoniertes Buch

Beschreibung

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.

Produktsicherheitsverordnung

Hersteller:
Springer Verlag GmbH
[email protected]
Tiergartenstr. 17
DE 69121 Heidelberg

Autorenportrait

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