Introductory algebraic number theory [E-Book] / Şaban Alaca, Kenneth S. Williams.
Alaca, Şaban, (author)
Williams, Kenneth S., (author)
Cambridge : Cambridge University Press, 2004
1 online resource (xvii, 428 pages)
englisch
9780521832502
9780511791260
9780521540117
Full Text
Table of Contents:
  • 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.