000 02951nam a22005175i 4500
001 978-981-97-4643-9
003 DE-He213
005 20251030114606.0
007 cr nn 008mamaa
008 241206s2024 si | s |||| 0|eng d
020 _a9789819746439
_9978-981-97-4643-9
024 7 _a10.1007/978-981-97-4643-9
_2doi
050 4 _aQA248-248.5
072 7 _aPBCH
_2bicssc
072 7 _aMAT028000
_2bisacsh
072 7 _aPBCH
_2thema
100 1 _aSrivastava, Shashi Mohan.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_988626
245 1 3 _aAn Introduction to Naïve Set Theory and Its Applications
_h[electronic resource] /
_cby Shashi Mohan Srivastava.
250 _a1st ed. 2024.
264 1 _aSingapore :
_bSpringer Nature Singapore :
_bImprint: Springer,
_c2024.
300 _aXII, 136 p. 1 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aUniversity Texts in the Mathematical Sciences,
_x2731-9326
505 0 _aIntroduction -- Functions and Relations -- Ordinal and Cardinal Numbers -- Applications in Other Branches of Mathematics -- Banach-Tarski Paradox.
520 _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.
650 0 _aSet theory.
650 0 _aMathematical logic.
_966195
650 1 4 _aSet Theory.
650 2 4 _aMathematical Logic and Foundations.
_966198
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9789819746422
776 0 8 _iPrinted edition:
_z9789819746446
776 0 8 _iPrinted edition:
_z9789819753031
830 0 _aUniversity Texts in the Mathematical Sciences,
_x2731-9326
_971590
856 4 0 _uhttps://doi.org/10.1007/978-981-97-4643-9
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
999 _c65534
_d65534