02608nam a22004335i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001600153072001700169072002300186072001600209100008700225245011700312250001800429264007200447300004300519336002600562337002600588338003600614347002400650490006200674505015100736520091500887650001601802650002401818650001601842650004001858710003401898773002601932776003601958776003601994776003602030830006202066856004602128978-981-97-4643-9DE-He21320251030114606.0cr nn 008mamaa241206s2024    si |    s    |||| 0|eng d  a97898197464397 a10.1007/978-981-97-4643-92doi 4aQA248-248.5 7aPBCH2bicssc 7aMAT0280002bisacsh 7aPBCH2thema1 aSrivastava, Shashi Mohan.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut13aAn Introduction to Naïve Set Theory and Its Applicationsh[electronic resource] /cby Shashi Mohan Srivastava.  a1st ed. 2024. 1aSingapore :bSpringer Nature Singapore :bImprint: Springer,c2024.  aXII, 136 p. 1 illus.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aUniversity Texts in the Mathematical Sciences,x2731-93260 aIntroduction -- Functions and Relations -- Ordinal and Cardinal Numbers -- Applications in Other Branches of Mathematics -- Banach-Tarski Paradox.  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. 0aSet theory. 0aMathematical logic.14aSet Theory.24aMathematical Logic and Foundations.2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978981974642208iPrinted edition:z978981974644608iPrinted edition:z9789819753031 0aUniversity Texts in the Mathematical Sciences,x2731-932640uhttps://doi.org/10.1007/978-981-97-4643-9