I know you’ve all been waiting for the announcement with bated breath! We’ve known for a while that Mike Miller’s Winter course would be a follow-on course to his Algebraic Number Theory course this Fall, but it’s been officially posted, so now you can register for it: Algebraic Number Theory: The Sequel.

I’m sure, as always, that there are a few who are interested, but who couldn’t make the Fall lectures. Never fear, there’s a group of us that can help you get up to speed to keep pace with us during the second quarter. Just drop us a note and we’ll see what we can do.

### Algebraic Number Theory: The Sequel

In no field of mathematics is there such an irresistible fascination as in the theory of numbers. This course, the second in a two-quarter sequence, is an introductory, yet rigorous, survey of algebraic number theory, which evolved historically through attempts to prove Fermat’s Last Theorem. Beginning with a quick review of the previous quarter’s work, the course continues discussions on the structure of algebraic number fields, focusing particular attention on primes, units, and roots of unity in quadratic, cubic, and cyclotomic fields. Topics to be discussed include: norms and traces; the ideal class group; Minkowski’s Translate, Convex Body, and Linear Forms theorems; and Dirichlet’s Unit Theorem.

UCLA: 5137 Math Sciences

Tuesday, 7-10pm,

January 5 – March 15

11 meetings total

MATH X450.9

3.00 units

#### Recommended Textbook

We’ll be using *Introductory Algebraic Number Theory* by Saban Alaca and Kenneth S. Williams (Cambridge University Press, 2003, ISBN: 978-0521183048).

How apropos to be wrapping up class on Algebraic Number Theory as Andrew Wiles wins Abel Prize! #FermatsLastTheorem http://boffosocko.com/2015/11/06/algebraic-number-theory-the-sequel-ucla-extension/

It is no shock that books of dry idea on trigonometry cannot compete

with YouTube and facebook! Trigonometry is the examine of angles and shapes

https://math-problem-solver.com/ . You should choose your

friends of your college and conduct a gathering regarding the issues of this topic.