The dynamics, statistics and projective geometry of Galois fields /

"V. I. Arnold reveals some unexpected connections between such apparently unrelated theories as Galois fields, dynamical systems, ergodic theory, statistics, chaos and the geometry of projective structures on finite sets. The author blends experimental results with examples and geometrical expl...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Arnolʹd, V. I. (Vladimir Igorevich), 1937-2010
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge ; New York : Cambridge University Press, 2011.
Temas:
Finite fields (Algebra)
Galois theory.
Corps finis.
Théorie de Galois.
MATHEMATICS > Algebra > General.
Galois theory
Acceso en línea:Texto completo
Tabla de Contenidos:
  • What is a Galois field?
  • The organisation and tabulation of Galois fields
  • Chaos and randomness in Galois field tables
  • Equipartition of geometric progressions along a finite one-dimensional torus
  • Adiabatic study of the distribution of geometric progressions of residues
  • Projective structures generated by a Galois field
  • Projective structures: example calculations
  • Cubic field tables.

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