Introduction to Commutative Algebra and Algebraic Geometry [Paperback]

Originally published in 1985, this classic textbook is an English translation of Einf?hrung in die kommutative Algebra und algebraische Geometrie. As part of the Modern Birkh?user Classics series, the publisher is proud to make Introduction to Commutative Algebra and Algebraic Geometry available to a wider audience.

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Aimed at students who have taken a basic course in algebra, the goal of the text is to present important results concerning the representation of algebraic varieties as intersections of the least possible number of hypersurfaces anda closely related problemwith the most economical generation of ideals in Noetherian rings. Along the way, one encounters many basic concepts of commutative algebra and algebraic geometry and proves many facts which can then serve as a basic stock for a deeper study of these subjects.

Originally published in 1985, this classic textbook is an English translation of Einf?hrung in die kommutative Algebra und algebraische Geometrie. It presents areas of commutative algebra that are best understood together.

Foreword.- Preface.- Preface to the English Edition.- Terminology.-?Algebraic varieties.- Dimension.- Regular and rational functions on algebraic varieties.- The local-global principle in commutative algebra.- On the number of equations needed to describe an algebraic variety.-?Regular and singular points of algebraic varieties.- Projective Resolutions.-?Bibliography.- List of Symbols.- Index.?

From the reviews:

This book is really a modern classic in the textbook literature in both commutative algebra and algebraic geometry. & Professor Kunz has provided a fairly special and unique introductory textbook of timeless value. Further generations of students and instructors will certainly profit a great deal from this masterpiece of mathematical expository writing.ls