Set Theory for Beginners: A Rigorous Introduction to Sets, Relations, Partitions, Functions, Induction, Ordinals, Cardinals, Martin’s Axiom, and Stationary Sets

Set Theory for Beginners: A Rigorous Introduction to Sets, Relations, Partitions, Functions, Induction, Ordinals, Cardinals, Martin’s Axiom, and Stationary Sets

<b>Set Theory for Beginners</b> 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<p></p><ul><li>professors teaching an undergraduate course or basic graduate course in set theory</li><li>high school teachers working with advanced math students</li><li>students wishing to see the type of mathematics they would be exposed to as a math major.</li></ul>The material in this pure math book includes:<ul><li>16 lessons consisting of basic to intermediate topics in set theory and mathematical logic.</li><li>A problem set after each lesson arranged by difficulty level.</li><li>A complete solution guide is included as a downloadable PDF file.</li></ul><b>Set Theory Book Table Of Contents (Selected) </b>Here's a selection from the table of contents:<br />Introduction<br /> Lesson 1 - Sets<br />Lesson 2 - Subsets<br />Lesson 3 - Operations on Sets<br />Lesson 4 - Relations<br />Lesson 5 - Equivalence Relations and Partitions<br />Lesson 6 - Functions<br />Lesson 7 - Equinumerosity<br />Lesson 8 - Induction and Recursion on N<br />Lesson 9 - Propositional Logic<br />Lesson 10 - First-order Logic<br />Lesson 11 - Axiomatic Set Theory<br />Lesson 12 - Ordinals<br />Lesson 13 - Cardinals<br />Lesson 14 - Martin's Axiom<br />Lesson 15 - The Field of Real Numbers<br />Lesson 16 - Clubs and Stationary Sets<br />