Computational algebraic geometry:
The interplay between algebra and geometry is a beautiful (and fun!) area of mathematical investigation. Advances in computing and algorithms make it possible to tackle many classical problems in a down-to-earth and concrete fashion. This opens wonderful new vistas and allows us to pose, study and s...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2003
|
| Schriftenreihe: | London Mathematical Society student texts
58 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBR01 URL des Erstveröffentlichers |
| Zusammenfassung: | The interplay between algebra and geometry is a beautiful (and fun!) area of mathematical investigation. Advances in computing and algorithms make it possible to tackle many classical problems in a down-to-earth and concrete fashion. This opens wonderful new vistas and allows us to pose, study and solve problems that were previously out of reach. Suitable for graduate students, the objective of this 2003 book is to bring advanced algebra to life with lots of examples. The first chapters provide an introduction to commutative algebra and connections to geometry. The rest of the book focuses on three active areas of contemporary algebra: Homological Algebra (the snake lemma, long exact sequence inhomology, functors and derived functors (Tor and Ext), and double complexes); Algebraic Combinatorics and Algebraic Topology (simplicial complexes and simplicial homology, Stanley-Reisner rings, upper bound theorem and polytopes); and Algebraic Geometry (points and curves in projective space, Riemann-Roch, Cech cohomology, regularity) |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xiv, 193 Seiten) |
| ISBN: | 9780511756320 |
| DOI: | 10.1017/CBO9780511756320 |
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| 520 | |a The interplay between algebra and geometry is a beautiful (and fun!) area of mathematical investigation. Advances in computing and algorithms make it possible to tackle many classical problems in a down-to-earth and concrete fashion. This opens wonderful new vistas and allows us to pose, study and solve problems that were previously out of reach. Suitable for graduate students, the objective of this 2003 book is to bring advanced algebra to life with lots of examples. The first chapters provide an introduction to commutative algebra and connections to geometry. The rest of the book focuses on three active areas of contemporary algebra: Homological Algebra (the snake lemma, long exact sequence inhomology, functors and derived functors (Tor and Ext), and double complexes); Algebraic Combinatorics and Algebraic Topology (simplicial complexes and simplicial homology, Stanley-Reisner rings, upper bound theorem and polytopes); and Algebraic Geometry (points and curves in projective space, Riemann-Roch, Cech cohomology, regularity) | ||
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Datensatz im Suchindex
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| dewey-full | 516.3/5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/5 |
| dewey-search | 516.3/5 |
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| discipline | Mathematik |
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| id | DE-604.BV043940857 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:14Z |
| institution | BVB |
| isbn | 9780511756320 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349827 |
| oclc_num | 850057611 |
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| physical | 1 online resource (xiv, 193 Seiten) |
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| publishDate | 2003 |
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| publisher | Cambridge University Press |
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| spelling | Schenck, Hal 1963- Verfasser (DE-588)14378160X aut Computational algebraic geometry Hal Schenck Cambridge Cambridge University Press 2003 1 online resource (xiv, 193 Seiten) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society student texts 58 Title from publisher's bibliographic system (viewed on 05 Oct 2015) The interplay between algebra and geometry is a beautiful (and fun!) area of mathematical investigation. Advances in computing and algorithms make it possible to tackle many classical problems in a down-to-earth and concrete fashion. This opens wonderful new vistas and allows us to pose, study and solve problems that were previously out of reach. Suitable for graduate students, the objective of this 2003 book is to bring advanced algebra to life with lots of examples. The first chapters provide an introduction to commutative algebra and connections to geometry. The rest of the book focuses on three active areas of contemporary algebra: Homological Algebra (the snake lemma, long exact sequence inhomology, functors and derived functors (Tor and Ext), and double complexes); Algebraic Combinatorics and Algebraic Topology (simplicial complexes and simplicial homology, Stanley-Reisner rings, upper bound theorem and polytopes); and Algebraic Geometry (points and curves in projective space, Riemann-Roch, Cech cohomology, regularity) Datenverarbeitung Geometry, Algebraic / Data processing / Congresses Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Algorithmische Geometrie (DE-588)4130267-9 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Algorithmische Geometrie (DE-588)4130267-9 s Algebraische Geometrie (DE-588)4001161-6 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 978-0-521-82964-9 Erscheint auch als Druck-Ausgabe 978-0-521-53650-9 https://doi.org/10.1017/CBO9780511756320 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Schenck, Hal 1963- Computational algebraic geometry Datenverarbeitung Geometry, Algebraic / Data processing / Congresses Algebraische Geometrie (DE-588)4001161-6 gnd Algorithmische Geometrie (DE-588)4130267-9 gnd |
| subject_GND | (DE-588)4001161-6 (DE-588)4130267-9 (DE-588)1071861417 |
| title | Computational algebraic geometry |
| title_auth | Computational algebraic geometry |
| title_exact_search | Computational algebraic geometry |
| title_full | Computational algebraic geometry Hal Schenck |
| title_fullStr | Computational algebraic geometry Hal Schenck |
| title_full_unstemmed | Computational algebraic geometry Hal Schenck |
| title_short | Computational algebraic geometry |
| title_sort | computational algebraic geometry |
| topic | Datenverarbeitung Geometry, Algebraic / Data processing / Congresses Algebraische Geometrie (DE-588)4001161-6 gnd Algorithmische Geometrie (DE-588)4130267-9 gnd |
| topic_facet | Datenverarbeitung Geometry, Algebraic / Data processing / Congresses Algebraische Geometrie Algorithmische Geometrie Konferenzschrift |
| url | https://doi.org/10.1017/CBO9780511756320 |
| work_keys_str_mv | AT schenckhal computationalalgebraicgeometry |