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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   $aLogic, Symbolic and mathematical
606   $aSet Theory
606   $aMathematical Logic and Foundations
615  0$aSet theory.
615  0$aLogic, Symbolic and mathematical.
615 14$aSet Theory.
615 24$aMathematical Logic and Foundations.
676   $a511.322
700   $aSrivastava$b S. M$g(Shashi Mohan)$01860399
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