This free book gives a gentle introduction to the set theoretic tools needed by anyone who comes into contact with modern Mathematics.
Book Description
The intended audience are students of any subject or practitioners who need some knowledge of set operations and related topics.
Table of Contents
- Introduction to sets
- Subsets, power sets, equality of sets
- Finite and infinite sets
- Set operations
- De Morgan rules, distributivity, tables
- Ordered pairs, Cartesian products
- Introduction to relations
- Ordering relations
- Equivalence relations
- Basic definitions
- One-one, onto, and bijective functions
- Inverse functions and permutations