Algebraic Number Fields and Their Completions
Seiten
2020
Taylor & Francis Inc (Verlag)
978-1-4398-5251-4 (ISBN)
Taylor & Francis Inc (Verlag)
978-1-4398-5251-4 (ISBN)
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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.
Algebraic Integers. Dedekind Domains. Localization. Ramification Theory. p-adic Numbers. Local Fields and Ramification. Norms. Different and Discriminant. Minkowski Theory. The Unit Group. Cyclotomic Fields. Abelian Extensions of Q.
| Erscheint lt. Verlag | 1.2.2020 |
|---|---|
| Reihe/Serie | Textbooks in Mathematics |
| Verlagsort | Washington |
| Sprache | englisch |
| Maße | 156 x 234 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Mathematik / Informatik ► Mathematik ► Analysis | |
| Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie | |
| ISBN-10 | 1-4398-5251-0 / 1439852510 |
| ISBN-13 | 978-1-4398-5251-4 / 9781439852514 |
| Zustand | Neuware |
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