20281 Set Theory 1

Credits: 4 intermediate credits in Mathematics

Prerequisites: none

Recommended: At least one of the following: Introduction to Mathematics, Infinitesimal Calculus I, Linear Algebra I

Author: Shmuel Berger

Set theory, a central branch of mathematical theory, is essential for the study of other branches of Mathematics as well. Although the course does not depend on specific mathematical background, its level of sophistication assumes prior study in Mathematics.

Topics: Basic concepts; Relations; Functions; Equivalence and cardinality of sets; Order and arithmetic of cardinal numbers; Finite and infinite sets; Ordered sets; Well-ordered sets; Partially ordered sets; Axioms for set theory; Ordinals and cardinals.

1There is some overlap in the content of this and other courses. For details, see Overlapping Courses.