Set Theory for Pre-Beginners

Set 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-be...

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Set Theory for Pre-Beginners

Set 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.
Pure Math 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

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