Set Theory for Beginners: A Rigorous Introduction to Sets, Relations, Partitions, Functions, Induction, Ordinals, Cardinals, Martin’s Axiom, and Stationary Sets
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Set Theory for Beginners: A Rigorous Introduction to Sets, Relations, Partitions, Functions, Induction, Ordinals, Cardinals, Martin’s Axiom, and Stationary Sets
- professors teaching an undergraduate course or basic graduate course in set theory
- high school teachers working with advanced math students
- students wishing to see the type of mathematics they would be exposed to as a math major.
- 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.
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
Technical Specifications
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