Publisher's Synopsis
Set Theory for Pre-BeginnersSet Theory for Pre-Beginners consists of a series of lessons in set theory. The 8 lessons in this book cover elementary material from this subject. A "pre-beginner" is a math student that is ready to start learning some more advanced mathematics, but is not quite ready to dive into proofwriting. Set Theory for Pre-Beginners is perfect for
- students wishing to begin learning advanced mathematics, but that are not quite ready to start writing proofs.
- high school teachers that want to expose their students to the ideas of advanced mathematics without getting into mathematical rigor.
- professors that wish to introduce higher mathematics to non-stem majors.
- 8 lessons in 8 subject areas.
- Examples and exercises throughout each lesson.
- A problem set after each lesson arranged by difficulty level.
- A complete solution guide is included as a downloadable PDF file.
Introduction
Lesson 1 - Sets and Subsets
Lesson 2 - Operations on Sets
Lesson 3 - Relations
Lesson 4 - Equivalence Relations and Partitions
Lesson 5 - Functions
Lesson 6 - Equinumerosity
Lesson 7 - Logic and Axioms
Lesson 8 - Ordinals and Cardinals
