Introduction to Commutative Algebra and Algebraic Geometry

Originally published in 1985, this classic textbook is an English translation of Einführung in die kommutative Algebra und algebraische Geometrie. As part of the Modern Birkhäuser Classics series, the publisher is proud to make Introduction to Commutative Algebra and Algebraic Geometry available to...

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Bibliographic Details
Author / Creator: Kunz, Ernst. (Author, http://id.loc.gov/vocabulary/relators/aut)
Other Corporate Authors / Creators:SpringerLink (Online service)
Format: Electronic eBook
Language:English
Edition:1st ed. 2013.
Imprint: New York, NY : Springer New York : Imprint: Birkhäuser, 2013.
Series:Modern Birkhäuser Classics,
Subjects:
Online Access:Available in Springer Mathematics and Statistics eBooks 2013 English/International.
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100 1 |a Kunz, Ernst.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Introduction to Commutative Algebra and Algebraic Geometry  |h [electronic resource]  |c by Ernst Kunz. 
250 |a 1st ed. 2013. 
264 1 |a New York, NY :  |b Springer New York :  |b Imprint: Birkhäuser,  |c 2013. 
490 1 |a Modern Birkhäuser Classics,  |x 2197-1811 
505 0 |a 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. . 
520 |a Originally published in 1985, this classic textbook is an English translation of Einführung in die kommutative Algebra und algebraische Geometrie. As part of the Modern Birkhäuser Classics series, the publisher is proud to make Introduction to Commutative Algebra and Algebraic Geometry available to a wider audience.   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 and—a closely related problem—with 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. 
650 0 |a Algebraic geometry. 
650 0 |a Algebra. 
650 0 |a Commutative algebra. 
650 0 |a Commutative rings. 
650 1 4 |a Algebraic Geometry. 
650 2 4 |a Algebra. 
650 2 4 |a Commutative Rings and Algebras. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Mathematics and Statistics eBooks 2013 English/International   |d Springer Nature 
776 0 8 |i Printed edition:  |z 9781461459866 
776 0 8 |i Printed edition:  |z 9781461459880 
776 1 |t Introduction to Commutative Algebra and Algebraic Geometry 
830 0 |a Modern Birkhäuser Classics,  |x 2197-1811 
856 4 0 |3 Full text available  |z Available in Springer Mathematics and Statistics eBooks 2013 English/International.  |u https://ezproxy.wellesley.edu/login?url=https://link.springer.com/10.1007/978-1-4614-5987-3