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...

Descripción completa

Detalles Bibliográficos
Otros Autores: Cox, David A., author (author), Little, John B., author, O'Shea, Donal, author
Formato: Libro electrónico
Idioma:Inglés
Publicado: New York, New York : Springer 2012.
Edición:Third edition
Colección:Undergraduate texts in mathematics.
Materias:
Ver en Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009462126506719
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.