Borrow it
 Albert D. Cohen Management Library
 Architecture/Fine Arts Library
 Archives and Special Collections
 Bibliothèque AlfredMonnin (Université de SaintBoniface)
 Bill Larson Library (Grace Hospital)
 Carolyn Sifton  Helene Fuld Library (St. Boniface General Hospital)
 Concordia Hospital Library
 Donald W. Craik Engineering Library
 E.K. Williams Law Library
 EckhardtGramatté Music Library
 Elizabeth Dafoe Library
 Fr. H. Drake Library (St. Paul's College)
 J.W. Crane Memorial Library (Deer Lodge Centre)
 Libraries Annex (not open to the public; please see web page for details)
 Neil John Maclean Health Sciences Library
 Sciences and Technology Library
 Seven Oaks General Hospital Library
 Sister St. Odilon Library (Misericordia Health Centre)
 St. John's College Library
 Victoria General Hospital Library
 William R Newman Library (Agriculture)
The Resource A Singular Introduction to Commutative Algebra, by GertMartin Greuel, Gerhard Pfister, (electronic resource)
A Singular Introduction to Commutative Algebra, by GertMartin Greuel, Gerhard Pfister, (electronic resource)
Resource Information
The item A Singular Introduction to Commutative Algebra, by GertMartin Greuel, Gerhard Pfister, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.This item is available to borrow from all library branches.
Resource Information
The item A Singular Introduction to Commutative Algebra, by GertMartin Greuel, Gerhard Pfister, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.
This item is available to borrow from all library branches.
 Summary
 From the reviews: "...It is certainly no exaggeration to say that Greuel and Pfister's A Singular Introduction to Commutative Algebra aims to lead a further stage in the computational revolution in commutative algebra, in which computational methods and results become central to how the subject is taught and learned. [...] Among the great strengths and most distinctive features of Greuel and Pfister's book is a new, completely unified treatment of the global and local theories. The realization that the two cases could be combined to this extent was decisive in the design of the Singular system, making it one of the most flexible and most efficient systems of its type. The authors present the first systematic development of this unified approach in a textbook here, and this aspect alone is almost worth the price of admission. Another distinctive feature of this book is the degree of integration of explicit computational examples into the flow of the text. Strictly mathematical components of the development (often quite terse and written in a formal "theoremproof" style) are interspersed with parallel discussions of features of Singular and numerous Singular examples giving input commands, some extended programs in the Singular language, and output. [...] Yet another strength of Greuel and Pfister's book is its breadth of coverage of theoretical topics in the portions of commutative algebra closest to algebraic geometry, with algorithmic treatments of almost every topic. A synopsis of the table of contents will make this clear. [...] Greuel and Pfister have written a distinctive an highly useful book that should be in the library of every commutative algebrais and algebraic geometer, expert and novice alike. I hope that it achieves the educational impact it deserves." John B. Little, Monthly of The Mathematical Association of America, March 2004 "... The authors' most important new focus is the presentation of nonwell orderings that allow them the computational approach for local commutative algebra. In fact the book provides an introduction to commutative algebra from a computational point of view. So it might be helpful for students and other interested readers (familiar with computers) to explore the beauties and difficulties of commutative algebra by computational experiences. In this respect the book is the one of the first samples of a new kind of textbooks in algebra." P.Schenzel, Zentralblatt für Mathematik 1023.13001, 2003
 Language

 eng
 eng
 Edition
 2nd, extended ed.
 Extent
 1 online resource (702 p.)
 Note
 Description based upon print version of record
 Contents

 Rings, Ideals and Standard Bases
 Modules
 Noether Normalization and Applications
 Primary Decomposition and Related Topics
 Hilbert Function and Dimension
 Complete Local Rings
 Homological Algebra
 Isbn
 9783540735427
 Label
 A Singular Introduction to Commutative Algebra
 Title
 A Singular Introduction to Commutative Algebra
 Statement of responsibility
 by GertMartin Greuel, Gerhard Pfister
 Language

 eng
 eng
 Summary
 From the reviews: "...It is certainly no exaggeration to say that Greuel and Pfister's A Singular Introduction to Commutative Algebra aims to lead a further stage in the computational revolution in commutative algebra, in which computational methods and results become central to how the subject is taught and learned. [...] Among the great strengths and most distinctive features of Greuel and Pfister's book is a new, completely unified treatment of the global and local theories. The realization that the two cases could be combined to this extent was decisive in the design of the Singular system, making it one of the most flexible and most efficient systems of its type. The authors present the first systematic development of this unified approach in a textbook here, and this aspect alone is almost worth the price of admission. Another distinctive feature of this book is the degree of integration of explicit computational examples into the flow of the text. Strictly mathematical components of the development (often quite terse and written in a formal "theoremproof" style) are interspersed with parallel discussions of features of Singular and numerous Singular examples giving input commands, some extended programs in the Singular language, and output. [...] Yet another strength of Greuel and Pfister's book is its breadth of coverage of theoretical topics in the portions of commutative algebra closest to algebraic geometry, with algorithmic treatments of almost every topic. A synopsis of the table of contents will make this clear. [...] Greuel and Pfister have written a distinctive an highly useful book that should be in the library of every commutative algebrais and algebraic geometer, expert and novice alike. I hope that it achieves the educational impact it deserves." John B. Little, Monthly of The Mathematical Association of America, March 2004 "... The authors' most important new focus is the presentation of nonwell orderings that allow them the computational approach for local commutative algebra. In fact the book provides an introduction to commutative algebra from a computational point of view. So it might be helpful for students and other interested readers (familiar with computers) to explore the beauties and difficulties of commutative algebra by computational experiences. In this respect the book is the one of the first samples of a new kind of textbooks in algebra." P.Schenzel, Zentralblatt für Mathematik 1023.13001, 2003
 http://library.link/vocab/creatorName
 Greuel, GertMartin
 Dewey number
 512.44
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut

 byZw7vTqdcs
 9rS4Z1tuFFY
 Language note
 English
 LC call number
 QA150272
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName
 Pfister, Gerhard.
 http://library.link/vocab/subjectName

 Algebra
 Geometry, algebraic
 Algorithms
 Computer science
 Algebra
 Algebra
 Algebraic Geometry
 Algorithms
 Computational Mathematics and Numerical Analysis
 Symbolic and Algebraic Manipulation
 Label
 A Singular Introduction to Commutative Algebra, by GertMartin Greuel, Gerhard Pfister, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references (p. [649]659) and indexes
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents
 Rings, Ideals and Standard Bases  Modules  Noether Normalization and Applications  Primary Decomposition and Related Topics  Hilbert Function and Dimension  Complete Local Rings  Homological Algebra
 Dimensions
 unknown
 Edition
 2nd, extended ed.
 Extent
 1 online resource (702 p.)
 Form of item
 online
 Isbn
 9783540735427
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/9783540735427
 Specific material designation
 remote
 System control number

 (CKB)1000000000492106
 (EBL)3062649
 (SSID)ssj0000320052
 (PQKBManifestationID)11243021
 (PQKBTitleCode)TC0000320052
 (PQKBWorkID)10360912
 (PQKB)11086835
 (DEHe213)9783540735427
 (MiAaPQ)EBC3062649
 (EXLCZ)991000000000492106
 Label
 A Singular Introduction to Commutative Algebra, by GertMartin Greuel, Gerhard Pfister, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references (p. [649]659) and indexes
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents
 Rings, Ideals and Standard Bases  Modules  Noether Normalization and Applications  Primary Decomposition and Related Topics  Hilbert Function and Dimension  Complete Local Rings  Homological Algebra
 Dimensions
 unknown
 Edition
 2nd, extended ed.
 Extent
 1 online resource (702 p.)
 Form of item
 online
 Isbn
 9783540735427
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/9783540735427
 Specific material designation
 remote
 System control number

 (CKB)1000000000492106
 (EBL)3062649
 (SSID)ssj0000320052
 (PQKBManifestationID)11243021
 (PQKBTitleCode)TC0000320052
 (PQKBWorkID)10360912
 (PQKB)11086835
 (DEHe213)9783540735427
 (MiAaPQ)EBC3062649
 (EXLCZ)991000000000492106
Library Locations

Albert D. Cohen Management LibraryBorrow it181 Freedman Crescent, Winnipeg, MB, R3T 5V4, CA49.807878 97.129961


Archives and Special CollectionsBorrow it25 Chancellors Circle (Elizabeth Dafoe Library), Room 330, Winnipeg, MB, R3T 2N2, CA49.809961 97.131878

Bibliothèque AlfredMonnin (Université de SaintBoniface)Borrow it200, avenue de la Cathédrale, Local 2110, Winnipeg, MB, R2H 0H7, CA49.888861 97.119735

Bill Larson Library (Grace Hospital)Borrow it300 Booth Drive, G227, Winnipeg, MB, R3J 3M7, CA49.882400 97.276436

Carolyn Sifton  Helene Fuld Library (St. Boniface General Hospital)Borrow it409 Tache Avenue, Winnipeg, MB, R2H 2A6, CA49.883388 97.126050

Concordia Hospital LibraryBorrow it1095 Concordia Avenue, Winnipeg, MB, R2K 3S8, CA49.913252 97.064683

Donald W. Craik Engineering LibraryBorrow it75B Chancellors Circle (Engineering Building E3), Room 361, Winnipeg, MB, R3T 2N2, CA49.809053 97.133292


EckhardtGramatté Music LibraryBorrow it136 Dafoe Road (Taché Arts Complex), Room 257, Winnipeg, MB, R3T 2N2, CA49.807964 97.132222

Elizabeth Dafoe LibraryBorrow it25 Chancellors Circle, Winnipeg, MB, R3T 2N2, CA49.809961 97.131878

Fr. H. Drake Library (St. Paul's College)Borrow it70 Dysart Road, Winnipeg, MB, R3T 2M6, CA49.810605 97.138184

J.W. Crane Memorial Library (Deer Lodge Centre)Borrow it2109 Portage Avenue, Winnipeg, MB, R3J 0L3, CA49.878000 97.235520

Libraries Annex (not open to the public; please see web page for details)Borrow it25 Chancellors Circle (in the Elizabeth Dafoe Library), Winnipeg, MB, R3T 2N2, CA49.809961 97.131878

Neil John Maclean Health Sciences LibraryBorrow it727 McDermot Avenue (Brodie Centre), 200 Level, Winnipeg, MB, R3E 3P5, CA49.903563 97.160554

Sciences and Technology LibraryBorrow it186 Dysart Road, Winnipeg, MB, R3T 2M8, CA49.811526 97.133257

Seven Oaks General Hospital LibraryBorrow it2300 McPhillips Street, Winnipeg, MB, R2V 3M3, CA49.955177 97.148865

Sister St. Odilon Library (Misericordia Health Centre)Borrow it99 Cornish Avenue, Winnipeg, MB, R3C 1A2, CA49.879592 97.160425


Victoria General Hospital LibraryBorrow it2340 Pembina Highway, Winnipeg, MB, R3T 2E8, CA49.806755 97.152739

William R Newman Library (Agriculture)Borrow it66 Dafoe Road, Winnipeg, MB, R3T 2R3, CA49.806936 97.135525
Library Links
Embed (Experimental)
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.umanitoba.ca/portal/ASingularIntroductiontoCommutativeAlgebra/6GsFQeKp0U/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.umanitoba.ca/portal/ASingularIntroductiontoCommutativeAlgebra/6GsFQeKp0U/">A Singular Introduction to Commutative Algebra, by GertMartin Greuel, Gerhard Pfister, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.lib.umanitoba.ca/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.umanitoba.ca/">University of Manitoba Libraries</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Item A Singular Introduction to Commutative Algebra, by GertMartin Greuel, Gerhard Pfister, (electronic resource)
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.umanitoba.ca/portal/ASingularIntroductiontoCommutativeAlgebra/6GsFQeKp0U/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.umanitoba.ca/portal/ASingularIntroductiontoCommutativeAlgebra/6GsFQeKp0U/">A Singular Introduction to Commutative Algebra, by GertMartin Greuel, Gerhard Pfister, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.lib.umanitoba.ca/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.umanitoba.ca/">University of Manitoba Libraries</a></span></span></span></span></div>