Commutative algebra with a view toward algebraic geometry:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1995
|
| Schriftenreihe: | Graduate Texts in Mathematics
150 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Commutative Algebra is best understood with knowledge of the geometric ideas that have played a great role in its formation, in short, with a view towards algebraic geometry. The author presents a comprehensive view of commutative algebra, from basics, such as localization and primary decomposition, through dimension theory, differentials, homological methods, free resolutions and duality, emphasizing the origins of the ideas and their connections with other parts of mathematics. Many exercises illustrate and sharpen the theory and extended exercises give the reader an active part in complementing the material presented in the text. One novel feature is a chapter devoted to a quick but thorough treatment of Grobner basis theory and the constructive methods in commutative algebra and algebraic geometry that flow from it. Applications of the theory and even suggestions for computer algebra projects are included. This book will appeal to readers from beginners to advanced students of commutative algebra or algebraic geometry. To help beginners, the essential ideals from algebraic geometry are treated from scratch. Appendices on homological algebra, multilinear algebra and several other useful topics help to make the book relatively self- contained. Novel results and presentations are scattered throughout the text |
| Beschreibung: | 1 Online-Ressource (XVI, 788 p) |
| ISBN: | 9781461253501 9783540781226 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4612-5350-1 |
Internformat
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Datensatz im Suchindex
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| dewey-full | 516.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-5350-1 |
| format | Electronic eBook |
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| id | DE-604.BV042420388 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:06Z |
| institution | BVB |
| isbn | 9781461253501 9783540781226 |
| issn | 0072-5285 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027855805 |
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| physical | 1 Online-Ressource (XVI, 788 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Springer New York |
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| series2 | Graduate Texts in Mathematics |
| spelling | Eisenbud, David 1947- Verfasser (DE-588)139999671 aut Commutative algebra with a view toward algebraic geometry by David Eisenbud New York, NY Springer New York 1995 1 Online-Ressource (XVI, 788 p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 150 0072-5285 Commutative Algebra is best understood with knowledge of the geometric ideas that have played a great role in its formation, in short, with a view towards algebraic geometry. The author presents a comprehensive view of commutative algebra, from basics, such as localization and primary decomposition, through dimension theory, differentials, homological methods, free resolutions and duality, emphasizing the origins of the ideas and their connections with other parts of mathematics. Many exercises illustrate and sharpen the theory and extended exercises give the reader an active part in complementing the material presented in the text. One novel feature is a chapter devoted to a quick but thorough treatment of Grobner basis theory and the constructive methods in commutative algebra and algebraic geometry that flow from it. Applications of the theory and even suggestions for computer algebra projects are included. This book will appeal to readers from beginners to advanced students of commutative algebra or algebraic geometry. To help beginners, the essential ideals from algebraic geometry are treated from scratch. Appendices on homological algebra, multilinear algebra and several other useful topics help to make the book relatively self- contained. Novel results and presentations are scattered throughout the text Mathematics Geometry, algebraic Algebraic Geometry Mathematik Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Kommutative Algebra (DE-588)4164821-3 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 s Kommutative Algebra (DE-588)4164821-3 s 1\p DE-604 https://doi.org/10.1007/978-1-4612-5350-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Eisenbud, David 1947- Commutative algebra with a view toward algebraic geometry Mathematics Geometry, algebraic Algebraic Geometry Mathematik Algebraische Geometrie (DE-588)4001161-6 gnd Kommutative Algebra (DE-588)4164821-3 gnd |
| subject_GND | (DE-588)4001161-6 (DE-588)4164821-3 |
| title | Commutative algebra with a view toward algebraic geometry |
| title_auth | Commutative algebra with a view toward algebraic geometry |
| title_exact_search | Commutative algebra with a view toward algebraic geometry |
| title_full | Commutative algebra with a view toward algebraic geometry by David Eisenbud |
| title_fullStr | Commutative algebra with a view toward algebraic geometry by David Eisenbud |
| title_full_unstemmed | Commutative algebra with a view toward algebraic geometry by David Eisenbud |
| title_short | Commutative algebra with a view toward algebraic geometry |
| title_sort | commutative algebra with a view toward algebraic geometry |
| topic | Mathematics Geometry, algebraic Algebraic Geometry Mathematik Algebraische Geometrie (DE-588)4001161-6 gnd Kommutative Algebra (DE-588)4164821-3 gnd |
| topic_facet | Mathematics Geometry, algebraic Algebraic Geometry Mathematik Algebraische Geometrie Kommutative Algebra |
| url | https://doi.org/10.1007/978-1-4612-5350-1 |
| work_keys_str_mv | AT eisenbuddavid commutativealgebrawithaviewtowardalgebraicgeometry |