Algebra: Integer Numbers and Principles

This lecture covers the organization of the course, the well-ordering and induction principles, integer numbers, the fundamental theorem of arithmetic, GCD, LCM, and the Euclidean algorithm to find the GCD of two integers. It also introduces Bezout's theorem and discusses the principles of well-ordering and induction, emphasizing the equivalence between them. The lecture delves into the properties of integer numbers, sets, maps, surjectivity, and the relationship between well-ordering and induction principles.