Notes on Algebraic Numbers
نویسنده
چکیده
This is a summary of my 1994–1995 course on Algebraic Numbers. (Revised and improved on 1993– 1994!) The background assumed is standard elementary number theory—as found in my Level III course—and a little (Abelian) group theory. Corrections and suggestions for improvement are welcome, and will be credited in future editions! I first learned algebraic number theory from Stewart & Tall’s book ([3]) and this is an excellent account. However it’s more abstract than the approach of this course and deals with general algebraic number theory while I deal mainly with the theory of quadratic fields. A book dealing mainly with quadratic fields is Cohn ([1]); I have incorporated many of the ideas in this book into this course, but this is a rather difficult book to read. I am grateful to Jeremy Bygott for corrections to and suggestions on a previous version, and to Paul Epstein for a further correction.
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