An introduction to the abstract theory of algebraic structures in-cluding rings and fields. Topics may include ideals, quotients, the structure of fields, Galois theory. An introduction to modern mathematical logic, including the most important results in the subject. Treatment of the subject matter is rigorous, but historical and philosophical aspects are discussed. Also offered as Philosophy 317.
Graph theory deals with the study of a finite set of points connected by lines.
Problems in such diverse areas as transportation networks, organizational structure, chemical bonds, allocation and distribution of good and services, genealogical family trees, group structure in psychology and sociology, tournaments and electrical circuit analysis can be formulated and solved by the use of graph theory. Mathematics 217 or 280 or permission of instructor. History of Mathematics. This course is given on a seminar basis. Primarily for juniors and seniors.