02951nam a22005175i 4500 978-981-97-4643-9 DE-He213 20251030114606.0 cr nn 008mamaa 241206s2024 si | s |||| 0|eng d 9789819746439 978-981-97-4643-9 10.1007/978-981-97-4643-9 doi QA248-248.5 PBCH bicssc MAT028000 bisacsh PBCH thema Srivastava, Shashi Mohan. author. aut http://id.loc.gov/vocabulary/relators/aut 88626 An Introduction to Naïve Set Theory and Its Applications [electronic resource] / by Shashi Mohan Srivastava. 1st ed. 2024. Singapore : Springer Nature Singapore : Imprint: Springer, 2024. XII, 136 p. 1 illus. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda University Texts in the Mathematical Sciences, 2731-9326 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. Set theory. Mathematical logic. 66195 Set Theory. Mathematical Logic and Foundations. 66198 SpringerLink (Online service) Springer Nature eBook Printed edition: 9789819746422 Printed edition: 9789819746446 Printed edition: 9789819753031 University Texts in the Mathematical Sciences, 2731-9326 71590 https://doi.org/10.1007/978-981-97-4643-9 ZDB-2-SMA ZDB-2-SXMS 65534 65534