Classical Theory of Algebraic Numbers
- Binding: Hardcover
- Edition: 0002
- Publisher: Springer Verlag
- Publish date: 05/01/2001
Description:
This is a substantially revised and updated second edition of a classical presentation on algebraic numbers. The theorems and definitions are carefully motivated, and the author frequently stops to explain how things fit together and what will come next. After a brief introduction reviewing the concepts of principal ideal domains and commutative fields, the book discusses residue classes, quadratic residues, algebraic integers, the ramification index, and the fundamental theorem of Abelian extensions. There are a great many exercises and many useful examples at a broad range of difficulty.
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