Elements of Algebraic Geometry (Classic Reprint) - Hardcover

Emil Artin

 
9780331513240: Elements of Algebraic Geometry (Classic Reprint)

Synopsis

Foundations of algebraic geometry made clear and approachable.

This introduction surveys key algebraic prerequisites, from Noetherian rings to the Hilbert Basis Theorem, to build a solid framework for studying geometric questions.

In these pages you’ll see how basic algebra leads to geometric insight. The text explains concepts like ascending and maximal chains of ideals, and why finite generation matters for understanding polynomial solutions.
  • How Noetherian rings relate to controlling algebraic structures
  • The equivalence of important chain conditions and what this means for ideals
  • The Hilbert Basis Theorem and its role in shaping algebraic geometry
  • How algebraic ideas connect to solving polynomial equations over fields
Ideal for readers beginning their journey in algebraic geometry, especially those seeking a rigorous introduction grounded in classical algebra.

"synopsis" may belong to another edition of this title.

Other Popular Editions of the Same Title

9781397827593: Elements of Algebraic Geometry (Classic Reprint)

Featured Edition

ISBN 10:  1397827599 ISBN 13:  9781397827593
Publisher: Forgotten Books, 2018
Softcover