Set Theory for Pre-Beginners

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.The material in this set theory book includes: 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.Set Theory Pre-Beginner Book Table Of Contents (Selected) Here's a selection from the table of contents:

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