Ideals, Varieties, and Algorithms : an Introduction to Computational Algebraic Geometry and Commutative Algebra /

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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Cox, David (Autor), Little, John (Autor), O'Shea, Donal (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York, 1997.
Edición:Second edition.
Colección:Undergraduate texts in mathematics.
Temas:
Geometry, Algebraic > Data processing.
Commutative algebra > Data processing.
Géométrie algébrique > Informatique.
Algèbre commutative > Informatique.
Matemáticas
Geometry, Algebraic > Data processing
Commutative algebra > Data processing
Logic, Symbolic and mathematical
Mathematics
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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
  • Some Concepts from Algebra
  • Pseudocode
  • Computer Algebra Systems
  • Independent Projects.

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