Ideals, varieties, and algorithms : an introduction to computational algebraic geometry and commutative algebra / David Cox, John Little, Donald O'Shea

Por: Cox, DavidColaborador(es): Little, John | O'Shea, DonaldTipo de material: TextoTextoSeries Undergraduate texts in mathematicsDetalles de publicación: San Francisco : Springer, 2007 Edición: 3rd ed.Descripción: XV, 551 p. : gráf. ; 24 cmISBN: 0-387-35650-9Tema(s): Álgebra conmutativa | Algebra y Geometria | Geometría algebraicaResumen: 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 of a system of polynomial equations form a geometric object called a variety; the corresponding algebraic object is an ideal. There is a close relationship between ideals and varieties which reveals the intimate link between algebra and geometry. Written at a level appropriate to undergraduates, this book covers such topics as the Hilbert Basis Theorem, the Nullstellensatz, invariant theory, projective geometry, and dimension theory. The algorithms to answer questions such as those posed above are an important part of algebraic geometry. INDICE: 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.
Etiquetas de esta biblioteca: No hay etiquetas de esta biblioteca para este título. Inicie sesión para agregar etiquetas.
Valoración
    Valoración media: 0.0 (0 votos)
Existencias
Tipo de ítem Biblioteca de origen Signatura URL Estado Fecha de vencimiento Código de barras Reserva de ítems
Monografías 01. BIBLIOTECA CAMPUS JEREZ
Ma-1057 (Navegar estantería(Abre debajo)) Texto completo Prestado 31/01/2025 3741824089
Manuales 02. BIBLIOTECA CAMPUS PUERTO REAL
512.7/COX/ide (Navegar estantería(Abre debajo)) Texto completo Disponible   Ubicación en estantería | Bibliomaps® 3741169806
Manuales 02. BIBLIOTECA CAMPUS PUERTO REAL
512.7/COX/ide (Navegar estantería(Abre debajo)) Texto completo Disponible   Ubicación en estantería | Bibliomaps® 3741169815
Manuales 02. BIBLIOTECA CAMPUS PUERTO REAL
512.7/COX/ide (Navegar estantería(Abre debajo)) Texto completo Disponible   Ubicación en estantería | Bibliomaps® 3741169824
Total de reservas: 0

Indice

Bibliografía: p. 535-539

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 of a system of polynomial equations form a geometric object called a variety; the corresponding algebraic object is an ideal. There is a close relationship between ideals and varieties which reveals the intimate link between algebra and geometry. Written at a level appropriate to undergraduates, this book covers such topics as the Hilbert Basis Theorem, the Nullstellensatz, invariant theory, projective geometry, and dimension theory. The algorithms to answer questions such as those posed above are an important part of algebraic geometry. INDICE: 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.

No hay comentarios en este titulo.

para aportar su opinión.

Con tecnología Koha