
 06 Aug 08 : Class schedule:
Monday: 11.15 to 12.45 in Room No. 252
Wednesday: 3.30 to 5 in Room No. 252
Saturday: 11 to 12.30 in Room No. 252 (Tutorials and
Extra Classes)
 06 Aug 08: Introduction to Algorithmic Algebra,
examples for solving system of Linear equations, division in
k[x], 3color problem as a decision problem in polynomial equations in
several variables
Homework: Read Introduction chapter from, Algorithmic
Algebra by Bubhaneshwar Mishra. Also try going through
"Historical Ramblings in Algebraic Geometry and Related Algebra"
by Shreeram S. Abhyankar, The American Mathematical Monthly,
Vol. 83, No. 6 (Jun.  Jul., 1976), pp. 409448. From here.
 11 Aug 08: examples for division in k[x1,...xn],
idea of Grobner bases , Equivalence relations.
 13 Aug 08: Introduction to Groups, construction of
Z_{n} (for this, I am going to cover Natural Numbers, Induction,
Integers, Division algorithm for integers).

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