35314 Pure Mathematics 3B
6cp;
4hpw
Requisite(s): 35111 Discrete Mathematics
Topics in this subject include a selection of:
- number theory: the division algorithm and unique factorisation in Z, number-theoretic functions, congruences, Fermat's theorem, Euler's theorem, linear diophantine equations, continued fractions
- groups: basic definitions, symmetry groups, cyclic groups, generators, relations and presentations of a group, subgroups and cosets, conjugacy and normal subgroups, quotient groups, solvable groups, prime power groups, Sylow theorems
- group homomorphisms and isomorphism theorems, and
- introduction to rings: homomorphisms, subrings, ideals, quotient rings.
Typical availability
Autumn semester, City campus
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