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

Inhaltsangabe

Set 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 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.

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

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