Lectures: you should attend two hours of each lecture stream each week, making a total of four hours.
Required and Recommended Texts and/or Materials
The required text for the Galois Theory part of MATH338 is Ian Stewart, Galois Theory Chapman and Hall 4th Edition. Lecture notes will be provided for the Advanced Linear Algebra part of MATH338.
- John A. Beachy, Introductory Lectures on Rings and Modules Cambridge 1999.
- Harold M. Edwards, Galois Theory Springer, 1984, Graduate Texts in Mathematics 101 (written in the spirit of "Read the masters!", there is a definite attempt to expose Galois' original ideas).
- Emil Artin, Galois Theory Notre Dame Mathematical Lectures 2, 1959 (the pithy work of a master - very thin).
- Francis Borceux and George Janelidze, Galois Theories Cambridge Studies in Advanced Mathematics 72, 2001 (the early sections are appropriate for this unit; the keen student can then find how Galois' ideas have developed in recent times).
- Tom Petsinis, The French Mathematician, A Novel Penguin, 1997 (non-technical novel written in the first person as Galois, sets the historical stage for Galois' work; a fun read of a sad tale!).
Advanced Linear Algebra
- Gilbert Strang, Linear Algebra and its Applications Brooks/Cole, 1988 (contains useful supporting material, but too elementary for this course).
- B. Hartley and T.O. Hawkes, Rings, Modules, and Linear Algebra, Chapman and Hall.
Technology Used and Required
Students are expected to have access to an internet enabled computer with a web browser and Adobe Reader software. Several areas of the university provide wireless access for portable computers. There are computers for student use in the Library.
Difficulties with your home computer or internet connection do not constitute a reasonable excuse for lateness of, or failure to submit, assessment tasks.