Set Theory for Pre-Beginners: An Elementary Introduction to Sets, Relations, Partitions, Functions, Equinumerosity, Logic, Axiomatic Set Theory, Ordinals, and Cardinals

Set Theory for Pre-Beginners: An Elementary Introduction to Sets, Relations, Partitions, Functions, Equinumerosity, Logic, Axiomatic Set Theory, Ordinals, and Cardinals

<h1><strong>Set Theory for Pre-Beginners</strong></h1><b>Set Theory for Pre-Beginners</b> 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<p></p><ul><li>students wishing to begin learning advanced mathematics, but that are not quite ready to start writing proofs.</li><li>high school teachers that want to expose their students to the ideas of advanced mathematics without getting into mathematical rigor.</li><li>professors that wish to introduce higher mathematics to non-stem majors.</li></ul>The material in this set theory book includes:<ul><li>8 lessons in 8 subject areas.</li><li>Examples and exercises throughout each lesson.</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>Pure Math Pre-Beginner Book Table Of Contents (Selected) </b>Here's a selection from the table of contents:<br />Introduction<br /> Lesson 1 - Sets and Subsets<br />Lesson 2 - Operations on Sets<br />Lesson 3 - Relations<br />Lesson 4 - Equivalence Relations and Partitions<br />Lesson 5 - Functions<br />Lesson 6 - Equinumerosity<br />Lesson 7 - Logic and Axioms<br />Lesson 8 - Ordinals and Cardinals