MATH225

The theory of numbers is concerned with the properties of the integers, one of the most basic mathematical sets. Seemingly naive questions of number theory stimulated much of the development of modern mathematics and still provide rich opportunities for investigation. Topics include classical ones such as primality, congruences, quadratic reciprocity, and Diophantine equations, as well as more recent applications to cryptography. Additional topics such as computational methods, elliptic curves, or an introduction to analytic methods may be included. Prerequisite(s): MATH 205.