Ideals, Varieties, and Algorithms An Introduction to Computational Algebraic Geometry and Commutative Algebra

Algebraic Geometry is the study of systems of polynomial equations in one or more variables, asking such questions as: Does the system have finitely many solutions, and if so how can one find them? And if there are infinitely many solutions, how can they be described and manipulated? The solutions o...

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Bibliographic Details
Main Authors: Cox, David A., Little, John (Author), OSHEA, DONAL. (Author)
Format: eBook
Language:English
Published: New York, NY Springer New York 2007, 2007
Edition:3rd ed. 2007
Series:Undergraduate Texts in Mathematics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Geometry, Algebra, and Algorithms
  • Groebner Bases
  • Elimination Theory
  • The Algebra–Geometry Dictionary
  • Polynomial and Rational Functions on a Variety
  • Robotics and Automatic Geometric Theorem Proving
  • Invariant Theory of Finite Groups
  • Projective Algebraic Geometry
  • The Dimension of a Variety