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008 121116s2013 xxu| s |||| 0|eng d
020 _a9781461459873
_9978-1-4614-5987-3
024 7 _a10.1007/978-1-4614-5987-3
_2doi
050 4 _aQA564-609
072 7 _aPBMW
_2bicssc
072 7 _aMAT012010
_2bisacsh
082 0 4 _a516.35
_223
100 1 _aKunz, Ernst.
_eauthor.
245 1 0 _aIntroduction to Commutative Algebra and Algebraic Geometry
_h[electronic resource] /
_cby Ernst Kunz.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Birkhäuser,
_c2013.
300 _aXIII, 238 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aModern Birkhäuser Classics
505 0 _aForeword -- 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 _aOriginally 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 _aMathematics.
650 0 _aAlgebra.
650 0 _aAlgebraic geometry.
650 0 _aCommutative algebra.
650 0 _aCommutative rings.
650 1 4 _aMathematics.
650 2 4 _aAlgebraic Geometry.
650 2 4 _aAlgebra.
650 2 4 _aCommutative Rings and Algebras.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781461459866
830 0 _aModern Birkhäuser Classics
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4614-5987-3
912 _aZDB-2-SMA
942 _2Dewey Decimal Classification
_ceBooks
999 _c44517
_d44517