Abstract Algebra

What is Abstract Algebra? (3:22)

Group Definition (11:15)

Group Definition (Quick) (3:11)

Groups - Motivation for Definition (2:05)

Subgroups (1:42)

Group Multiplication Tables (Cayley Tables) (7:32)

Cosets and Lagrange's Theorem (9:19)

Normal Subgroups and Factor Groups (11:24)

Cyclic Groups (5:01)

Group or Not Group? (Integer Edition) (2:42)

Group Homomorphisms (10:04)

Group Homomorphisms (Quick) (4:12)

Isomorphisms for Groups (5:04)

Kernel of Group Homomorphisms (4:53)

Order of an Element (3:01)

Symmetric Groups (5:30)

Cycle Notation for Permutations (12:37)

Dihedral Groups (4:17)

Symmetry Groups of Triangles (3:56)

Matrix Groups (4:16)

Direct Products of Groups (8:55)

Simple Groups (8:53)

Ring Definition (6:51)

Ring Definition (Quick) (3:13)

Ring Examples (7:18)