000			01790nam a22002177a 4500
003			ISI Library, Kolkata
005			20250822020009.0
020			_a9789819746422
040			_aISI Library _bEnglish
082	0	4	_223rd _a511.322 _bSr774
100	1		_aSrivastava, Shashi Mohan _eauthor
245	1	0	_aAn introduction to naive set theory and its applications/ _cShashi Mohan Srivastava
260			_aSingapore: _bSpringer, _c2024
300			_axii, 136 pages; _c24 cm.
490	0		_aUniversity Texts in the Mathematical Sciences
504			_aIncludes bibliography and index
505	0		_aIntroduction -- Functions and Relations -- More on Cardinals and Ordinals -- Applications in Other Branches of Mathematics -- Banach-Tarski Paradox -- Preliminary Concepts and Terminologies from Logic -- Zermelo–Fraenkel Set Theory
520			_aPrimarily designed for graduate students of mathematics, this textbook delves into Nave 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 Nave 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		4	_aSet Theory
942			_2ddc _cBK _01
999			_c436822 _d436822