http://www.math.tamu.edu/~map/courses/662fa05/

This course will be an introduction to the study of algebraic numbers and algebraic integers. Of course in number theory the key motivating problem is to understand the basic arithmetic of the integers. Algebraic number theory is the study of generalizations of integers to other domains, especially to number fields, ie, finite algebraic extensions of Q. Interesting problems arise in the study of rings of algebraic integers that shed light on many basic number theory problems. The course will cover the following topics as time permits: 

Instructor:  Dr. Matthew Papanikolas 


Office Hours:  Mon. & Fri. 1112 




Office:  321 Milner 

Office Phone:  8451615 

Email:  map@math.tamu.edu 




Textbook:  Classical Theory of Algebraic Numbers, 2nd ed., by Paulo Ribenboim, SpringerVerlag, 2001, ISBN 0387950702. 




Prerequisites:  Math 627 (Number Theory) and Math 653 (Algebra I); or equivalents 




Course Webpage:  http://www.math.tamu.edu/~map/courses/662fa05/ 




Course Work and Grades:  There will be regular homework assignments as well as a final project at the end of the semester. These will serve as the basis for grades in the course. 