Introductory algebraic number theory /

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An introduction to algebraic number theory for senior undergraduates and beginning graduate students in mathematics. It includes numerous examples, and references to further reading and to biographies of mathematicians who have contributed to the development of the subject. Includes over 320 exercis...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Alaca, Şaban, 1964-
Otros Autores: Williams, Kenneth S.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge ; New York : Cambridge University Press, 2004.
Temas:
Algebraic number theory.
Number theory.
Théorie algébrique des nombres.
Théorie des nombres.
MATHEMATICS > Number Theory.
Algebraische Zahlentheorie
Teoria dos números.
Números algébricos.
Nombres algébriques, Théorie des.
Einführung.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Integral domains
  • Euclidean domains
  • Noetherian domains
  • Elements integral over a domain
  • Algebraic extensions of a field
  • Algebraic number fields
  • Integral bases
  • Dedekind domains
  • Norms of ideals
  • Decomposing primes in a number field
  • Units in real quadratic fields
  • The ideal class group
  • Dirichlet's unit theorem
  • Applications to diophantine equations.

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