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Symbolic Computation : Solving Equations in Algebra, Geometry, and Engineering.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Green, Edward L.
Otros Autores: Hoşten, Serkan, Laubenbacher, Reinhard C.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, 2001.
Colección:Contemporary Mathematics.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Contents
  • Preface
  • Equations of parametric curves and surfaces via syzygies
  • An explicit description for the triangular decomposition of a zero-dimensional ideal through trace computation
  • Numerical irreducible decomposition using projections from points on the components
  • Counting stable solutions of sparse polynomial systems in chemistry
  • Central configurations in the Newtonian N-body problem of celestial mechanics
  • A power function approach to Kouchnirenko's conjecture
  • Finiteness for arithmetic fewnomial systems
  • Constructing double-exponential number of vectors of multiplicities of solutions of polynomial systemsComputing sparse projection operators
  • GrÃœbner bases of abelian matrix groups
  • Lexicographic GrÃœbner bases of 3-dimensional transportation problems
  • Simplicial complexes and syzygies of lattice ideals
  • Algorithmic determination of the rational cohomology of complex varieties via differential forms
  • 1. Introduction
  • 2. Review of the affine case
  • 3. Chern classes in projective space
  • 4. Open sets in projective space
  • 5. An example
  • 6. Closed and locally closed subsets7. Toric varieties
  • References
  • Differential algebras on semigroup algebras
  • Noncommutative GrÃœbner bases and Hochschild cohomology