LEADER 02807nam 22005175 450 001 9910917201203321 005 20241206115250.0 010 $a9789819746439$b(electronic bk.) 010 $z9789819746422 024 7 $a10.1007/978-981-97-4643-9 035 $a(MiAaPQ)EBC31821344 035 $a(Au-PeEL)EBL31821344 035 $a(CKB)36840963000041 035 $a(DE-He213)978-981-97-4643-9 035 $a(EXLCZ)9936840963000041 100 $a20241206d2024 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 13$aAn Introduction to Naïve Set Theory and Its Applications /$fby Shashi Mohan Srivastava 205 $a1st ed. 2024. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2024. 215 $a1 online resource (143 pages) 225 1 $aUniversity Texts in the Mathematical Sciences,$x2731-9326 311 08$aPrint version: Srivastava, Shashi Mohan An Introduction to Naïve Set Theory and Its Applications Singapore : Springer,c2025 9789819746422 327 $aIntroduction -- Functions and Relations -- Ordinal and Cardinal Numbers -- Applications in Other Branches of Mathematics -- Banach-Tarski Paradox. 330 $aPrimarily designed for graduate students of mathematics, this textbook delves into Naïve set theory, offering valuable insights for senior undergraduate students and researchers specializing in set theory. Commencing with a comprehensive exploration of functions and relations, the book extends its coverage to various applications of Naïve set theory across multiple mathematical branches, including real analysis, linear and abstract algebra, general topology, and introductory aspects of complex analysis and measure theory. The text meticulously introduces cardinal and ordinal numbers, along with transfinite induction, following the natural progression discovered by Cantor during his examination of trigonometric series. While this book provides a solid foundation, students intrigued by set theory for its intrinsic value should recognize that the subject extends far beyond the scope of this text. 410 0$aUniversity Texts in the Mathematical Sciences,$x2731-9326 606 $aSet theory 606 $aMathematical logic 606 $aSet Theory 606 $aMathematical Logic and Foundations 615 0$aSet theory. 615 0$aMathematical logic. 615 14$aSet Theory. 615 24$aMathematical Logic and Foundations. 676 $a511.322 700 $aSrivastava$b Shashi Mohan$0521449 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910917201203321 996 $aAn Introduction to Naïve Set Theory and Its Applications$94302453 997 $aUNINA