number theory i

MATH 4803/5803 (Fall 2009)


Kimball Martin
924 Physical Sciences Center
(405) 325-3537

MWF 2:30pm-3:20pm, 102 PHSC

Office Hours
Mon 3:30-5:30
or by appointment

  • Course guidelines
  • Homework
  • Papers
  • Exams
  • Notes

    UPDATE (FALL 2017): I've discovered lots of (minor) deficiencies in these notes in teaching a similar number theory course again. See my 2017 An (algebraic) introduction to Number Theory notes for a different set of course notes with more well written (in my opinion) arguments for many of the things in here.

    (There was a lot of overlap in content, but with a rather different presentation. Still, this course does things that the newer course did not, but those are stand-alone notes while these were always just meant to be a supplement to Stillwell's Elements of Number Theory.)

    You can still inform me of errors in these notes, though I am not making as much of an effort to maintain these notes as I am with my newer notes.

    What is number theory? (Day 1 introduction)
    Chapter 1 notes (Natural numbers and integers)
    Chapter 2 notes (The Euclidean algorithm)
    Chapter 3 notes (Congruence arithmetic)
    Chapter 5 notes (Pell's equation)
    Chapter 6 notes (Gaussian integers)
    Chapter 7-8 notes (Quadratic integers, The four square theorem)
    Chapter 9 notes (Quadratic Reciprocity)
    Chapter 10 notes (Rings)
    Chapter 11 notes (Ideals)
    Chapter 12 notes (Prime Ideals)

    Other Links
    Academic Calendar
    Math Club Homepage
    Math Club Blog

    Go to a more recent Intro Number Theory course page (Fall 2017)
    Go to the Number Theory II page
    Go to the Modular Forms page