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A first course in computational algebraic geometry /
A quick guide to computing in algebraic geometry with many explicit computational examples introducing the computer algebra system Singular.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
2013.
|
| Colección: | AIMS library series.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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|---|---|---|---|
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| 082 | 0 | 4 | |a 516.35 |2 23 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Decker, W. | |
| 245 | 1 | 2 | |a A first course in computational algebraic geometry / |c Wolfram Decker and Gerhard Pfister. |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 2013. | ||
| 300 | |a 1 online resource (viii, 118 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a data file |2 rda | ||
| 490 | 1 | |a AIMS library series | |
| 504 | |a Includes bibliographical references and index. | ||
| 520 | |a A quick guide to computing in algebraic geometry with many explicit computational examples introducing the computer algebra system Singular. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Cover; Contents; Preface; Prologue: General Remarks on Computer Algebra Systems; 1 The Geometry-Algebra Dictionary; 1.1 Affine Algebraic Geometry; 1.1.1 Ideals in Polynomial Rings; 1.1.2 Affine Algebraic Sets; 1.1.3 Hilbert's Nullstellensatz; 1.1.4 Irreducible Algebraic Sets; 1.1.5 Removing Algebraic Sets; 1.1.6 Polynomial Maps; 1.1.7 The Geometry of Elimination; 1.1.8 Noether Normalization and Dimension; 1.1.9 Local Studies; 1.2 Projective Algebraic Geometry; 1.2.1 The Projective Space; 1.2.2 Projective Algebraic Sets; 1.2.3 Affine Charts and the Projective Closure | |
| 505 | 8 | |a 1.2.4 The Hilbert Polynomial2 Computing; 2.1 Standard Bases and Singular; 2.2 Applications; 2.2.1 Ideal Membership; 2.2.2 Elimination; 2.2.3 Radical Membership; 2.2.4 Ideal Intersections; 2.2.5 Ideal Quotients; 2.2.6 Kernel of a Ring Map; 2.2.7 Integrality Criterion; 2.2.8 Noether Normalization; 2.2.9 Subalgebra Membership; 2.2.10 Homogenization; 2.3 Dimension and the Hilbert Function; 2.4 Primary Decomposition and Radicals; 2.5 Buchberger's Algorithm and Field Extensions; 3 Sudoku; 4 A Problem in Group Theory Solved by Computer Algebra; 4.1 Finite Groups and Thompson's Theorem | |
| 505 | 8 | |a 4.2 Characterization of Finite Solvable GroupsBibliography; Index | |
| 546 | |a English. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Geometry, Algebraic |x Data processing. | |
| 650 | 6 | |a Géométrie algébrique |x Informatique. | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Linear. |2 bisacsh | |
| 650 | 7 | |a Geometry, Algebraic |x Data processing. |2 fast |0 (OCoLC)fst00940903 | |
| 650 | 7 | |a Algebraische Geometrie |2 gnd | |
| 650 | 7 | |a Algorithmische Geometrie |2 gnd | |
| 650 | 7 | |a Computeralgebra |2 gnd | |
| 650 | 7 | |a Algorithmus |2 gnd | |
| 700 | 1 | |a Pfister, Gerhard. | |
| 776 | 0 | 8 | |i Print version: |a Decker, Wolfram. |t First Course in Computational Algebraic Geometry. |d Cambridge : Cambridge University Press, 2013 |z 9781107612532 |
| 830 | 0 | |a AIMS library series. | |
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