Ideals, Varieties, and Algorithms

An Introduction to Computational Algebraic Geometry and Commutative Algebra

AvDavid A. Cox,John Little

Inbunden, Engelska, 2025

Del i serien Undergraduate Texts in Mathematics

858 kr

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Inbunden

496 kr

Häftad

486 kr

Beskrivning

This text covers topics in algebraic geometry and commutative algebra with careful attention to their practical and computational aspects.

Produktinformation

Utgivningsdatum:2025-08-24
Mått:230 x 40 x 160 mm
Vikt:1 190 g
Format:Inbunden
Språk:Engelska
Serie:Undergraduate Texts in Mathematics
Antal sidor:656
Upplaga:5
Förlag:Springer International Publishing AG
ISBN:9783031918407

Utforska kategorier

Matematikens grunder inom Naturvetenskap och teknik
Matematik inom Naturvetenskap och teknik
Algebra inom Naturvetenskap och teknik

Mer om författaren

David A. Cox is Emeritus Professor of Mathematics at Amherst College.John Little is Emeritus Professor of Mathematics at College of the Holy Cross.Donal O'Shea is past President and Emeritus Professor of Mathematics at New College of Florida.

Innehållsförteckning

Preface.- Notation for Sets and Functions.- 1 Geometry, Algebra, and Algorithms.- 2 Groebner Bases.- 3 Elimination Theory.- 4 The Algebra-Geometry Dictionary.- 5 Polynomial and Rational Functions on a Variety.- 6 Robotics and Automatic Geometric Theorem Proving.- 7 Invariant Theory of Finite Groups.- 8 Projective Algebraic Geometry.- 9 The Dimension of a Variety.- 10 Additional Groebner Basis Algorithms.- Appendix A Some Concepts from Algebra.- Appendix B Pseudocode.- Appendix C Computer Algebra Systems.- Appendix D Independent Projects.- References.- Index.