Wentworth
Institute of Technology
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.
Saved in:
| Main Author: | |
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| Other Authors: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge ; New York :
Cambridge University Press,
2013.
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| Series: | AIMS library series.
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| Subjects: | |
| Online Access: |
Full text (Wentworth users only) |
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| 100 | 1 | |a Decker, W. |0 n 2005205239 | |
| 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). | ||
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| 504 | |a Includes bibliographical references and index. | ||
| 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 | |
| 520 | |a A quick guide to computing in algebraic geometry with many explicit computational examples introducing the computer algebra system Singular. | ||
| 546 | |a English. | ||
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Geometry, Algebraic |x Data processing. |0 sh 85054140 | |
| 700 | 1 | |a Pfister, Gerhard. |0 n 2008038283 | |
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| 830 | 0 | |a AIMS library series. |0 no2010112645 | |
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