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Book Synopsis

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.

Ideals Varieties and Algorithms

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    A Hardback by David A. Cox

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      Book details

      Publisher Springer
      Published 11 October 2025
      ISBN-13 9783031918407
      978-3031918407
      ISBN-10 3031918401

      Description

      Book Synopsis

      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.

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