Set Theory for Beginners

Bücher

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Set Theory for BeginnersSet 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 forprofessors teaching an undergraduate course or basic graduate course in set theoryhigh school teachers working with advanced math studentsstudents 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 - SetsLesson 2 - SubsetsLesson 3 - Operations on SetsLesson 4 - RelationsLesson 5 - Equivalence Relations and PartitionsLesson 6 - FunctionsLesson 7 - EquinumerosityLesson 8 - Induction and Recursion on NLesson 9 - Propositional LogicLesson 10 - First-order LogicLesson 11 - Axiomatic Set TheoryLesson 12 - OrdinalsLesson 13 - CardinalsLesson 14 - Martin's AxiomLesson 15 - The Field of Real NumbersLesson 16 - Clubs and Stationary Sets