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Algebraic Number Fields and Their Completions

9781439852514

Algebraic Number Fields and Their Completions

  • ISBN 13:

    9781439852514

  • ISBN 10:

    1439852510

  • Format: Hardcover
  • Copyright: 02/01/2020
  • Publisher: Chapman & Hall
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Summary

This book integrates local and global theory to reflect a very modern view of algebraic number theory. This approach is used whenever possible to make the book as accessible as possible to readers with some background in abstract algebra. The author uses contemporary notation and includes numerous examples and end-of-chapter exercises. Suitable for a course on algebraic number theory or as background reading on class field theory, the book covers such topics as localization, ramification theory, norms, Minkowski theory, the unit group, cyclotomic fields, and Dedekind domains.

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