02807nam 22005175 450 991091720120332120241206115250.09789819746439(electronic bk.)978981974642210.1007/978-981-97-4643-9(MiAaPQ)EBC31821344(Au-PeEL)EBL31821344(CKB)36840963000041(DE-He213)978-981-97-4643-9(EXLCZ)993684096300004120241206d2024 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierAn Introduction to Naïve Set Theory and Its Applications /by Shashi Mohan Srivastava1st ed. 2024.Singapore :Springer Nature Singapore :Imprint: Springer,2024.1 online resource (143 pages)University Texts in the Mathematical Sciences,2731-9326Print version: Srivastava, Shashi Mohan An Introduction to Naïve Set Theory and Its Applications Singapore : Springer,c2025 9789819746422 Introduction -- Functions and Relations -- Ordinal and Cardinal Numbers -- Applications in Other Branches of Mathematics -- Banach-Tarski Paradox.Primarily designed for graduate students of mathematics, this textbook delves into Naïve set theory, offering valuable insights for senior undergraduate students and researchers specializing in set theory. Commencing with a comprehensive exploration of functions and relations, the book extends its coverage to various applications of Naïve set theory across multiple mathematical branches, including real analysis, linear and abstract algebra, general topology, and introductory aspects of complex analysis and measure theory. The text meticulously introduces cardinal and ordinal numbers, along with transfinite induction, following the natural progression discovered by Cantor during his examination of trigonometric series. While this book provides a solid foundation, students intrigued by set theory for its intrinsic value should recognize that the subject extends far beyond the scope of this text.University Texts in the Mathematical Sciences,2731-9326Set theoryMathematical logicSet TheoryMathematical Logic and FoundationsSet theory.Mathematical logic.Set Theory.Mathematical Logic and Foundations.511.322Srivastava Shashi Mohan521449MiAaPQMiAaPQMiAaPQ9910917201203321An Introduction to Naïve Set Theory and Its Applications4302453UNINA