978-81-8487-543-0 Publication Year: 2016
Pages: 156 Binding: Paper Back
About the book
SET THEORY: Read it, Absorb it and Forget it, an introductory text book, introduces concepts in set theory that one must know. The construction of various number systems and the real number system with the help of Dedekind cut approach are provided. The properties of the real number system are given in detail. The equivalent statements of the Axiom of Choice are given and the equivalence is proved. A surprising consequence of the Axiom of Choice is discussed in the book. The detailed properties of the ordinals and the cardinals are also discussed. At the end an appendix is added which counts the number of elements in various important finite sets.
This book can also be considered as a supplementary text.
Preface / A Few Words: A Motivation / Logic: The Language of Mathematics / Theory of Sets / Relation / Map / Number System: Natural Numbers / Number System: Integers / Number System: Rational Numbers / Number System: Real Numbers / Ordinals / Axiom of Choice / Cardinals / Appendix / Bibliography / Index.
Under - Postgraduate Students, Teachers & Researchers