Abstract Algebra: Properties of the integers

Intro (0:00) Principle of mathematical induction (1:55) Well ordering principle (6:10) Division algorithm (11:58) gcd and lcm (17:36) Euclidean algorithm (20:37) Example with numbers, part 1 (24:53) Bezout’s lemma (26:32) Reverse Euclidean algorithm (28:04) Example with numbers, part 2 (30:38) Fundamental theorem of arithmetic (31:37) Previous video:    • Abstract Algebra: Functions   Next video:    • Abstract Algebra: Groups (definition, firs...