Listed in: Mathematics and Statistics, as MATH-410
Robert L. Benedetto (Section 01)
The quadratic formula shows us that the roots of a quadratic polynomial possess a certain symmetry. Galois Theory is the study of the corresponding symmetry for higher degree polynomials. We will develop this theory starting from a basic knowledge of groups, rings, and fields. One of our main goals will be to prove that there is no general version of the quadratic formula for a polynomial of degree five or more. Along the way, we will also show that a circular cake can be divided into 17 (but not 7) equal slices using only a straight-edged knife.
Requisite: MATH 350 or consent of the instructor. Fall semester. Professor R. Benedetto.
Section 01
M 01:00 PM - 01:50 PM SMUD 006
W 01:00 PM - 01:50 PM SMUD 006
F 01:00 PM - 01:50 PM SMUD 006
Section 01
Tu 01:00 PM - 01:50 PM SMUD 006
This is preliminary information about books for this course. Please contact your instructor or the Academic Coordinator for the department, before attempting to purchase these books.
| ISBN | Title | Publisher | Author(s) | Comment | Book Store | Price |
|---|---|---|---|---|---|---|
| Galois Theory (2nd Edition) | Hoboken, NJ: John Wiley & Sons, 2012 | Cox, David A. | Amherst Books | TBD |
These books are available locally at Amherst Books.