MTHT 435 Abstract Algebra

Fall Semester, 2007

Instructor: Anatoly Libgober
Office: SEO 413
Phone: 312-413-2138
Office Hours: MW 11 a.m. or by appointment.
Text: Joseph Gallian, Contemporary Abstract Algebra
Hours: The course meets MWF at 10 a.m. 204 Taft Hall

Topics

This course gives an introduction to Abstarct Algebra. Developing skills in mathematical reasoning is an important part of the course. The main results htat will be discussed are impossibility of trisections of angles and doubling of cubes with ruler and compass and solvability of equations in radicals. The main difference with Math 330 is focus of concept of ring and field and solvability of equations in radicals.

Grading and Homework

Grades will be based on midterms and homework problems assigned at regularly. Problems will be assigned during classes.

Other Sources

B.A.Sethuraman, Rings, Fields and Vector Spaces. Springer, 1997
L.Childes, A Concrete Introduction to Higher Algebra, Springer, 1995.
F.Klein, Elementary Mathematics from Advanced Standpoint, Dover Publications, 1945.

Final exam (due Dec. 12).