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Number Fields /

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Requiring no more than a basic knowledge of abstract algebra, this text presents the mathematics of number fields in a straightforward, "down-to-earth" manner. It thus avoids local methods, for example, and presents proofs in a way that highlights the important parts of the arguments. Read...

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Bibliographic Details
Main Author: Marcus, Daniel A.
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York, 1977.
Series:Universitext,
Subjects:
Mathematics.
Algebra.
Number theory.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • A special case of Fermat's conjecture
  • Number fields and number rings
  • Prime decomposition in number rings
  • Galois theory applied to prime decomposition
  • The ideal class group and the unit group
  • The distribution of ideals in a number ring
  • The Dedekind zeta function and the class number formula
  • The distribution of primes and an introduction to class field theory.