Set Theory for Beginners

Set Theory for BeginnersSet Theory for Beginners consists of a series of basic to intermediate lessons in set theory. In addition, all the proofwriting skills that are essential for advanced study in mathematics are covered and reviewed extensively. Set Theory for Beginners is perfect for

professors teaching an undergraduate course or basic graduate course in set theoryhigh school teachers working with advanced math studentsstudents wishing to see the type of mathematics they would be exposed to as a math major.The material in this pure math book includes: 16 lessons consisting of basic to intermediate topics in set theory and mathematical logic.A problem set after each lesson arranged by difficulty level.A complete solution guide is included as a downloadable PDF file.Set Theory Book Table Of Contents (Selected) Here's a selection from the table of contents: Introduction

Lesson 1 - Sets

Lesson 2 - Subsets

Lesson 3 - Operations on Sets

Lesson 4 - Relations

Lesson 5 - Equivalence Relations and Partitions

Lesson 6 - Functions

Lesson 7 - Equinumerosity

Lesson 8 - Induction and Recursion on N

Lesson 9 - Propositional Logic

Lesson 10 - First-order Logic

Lesson 11 - Axiomatic Set Theory

Lesson 12 - Ordinals

Lesson 13 - Cardinals

Lesson 14 - Martin's Axiom

Lesson 15 - The Field of Real Numbers

Lesson 16 - Clubs and Stationary Sets