000			02272nam a22003498i 4500
001			CR9780511996351
003			UkCbUP
005			20200124160256.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			110104s2011||||enk o ||1 0|eng|d
020			_a9780511996351 (ebook)
020			_z9781107008175 (hardback)
020			_z9781107400481 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA248 _b.S318 2011
082	0	0	_a511.322 _222
100	1		_aSchimmerling, Ernest, _eauthor.
245	1	2	_aA course on set theory / _cErnest Schimmerling.
264		1	_aCambridge : _bCambridge University Press, _c2011.
300			_a1 online resource (ix, 168 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_a1. Preliminaries -- 2. ZFC -- 3. Order -- 4. Cardinality -- 5. Trees -- 6. Dense linear orderings -- 7. Filters and ideals.
520			_aSet theory is the mathematics of infinity and part of the core curriculum for mathematics majors. This book blends theory and connections with other parts of mathematics so that readers can understand the place of set theory within the wider context. Beginning with the theoretical fundamentals, the author proceeds to illustrate applications to topology, analysis and combinatorics, as well as to pure set theory. Concepts such as Boolean algebras, trees, games, dense linear orderings, ideals, filters and club and stationary sets are also developed. Pitched specifically at undergraduate students, the approach is neither esoteric nor encyclopedic. The author, an experienced instructor, includes motivating examples and over 100 exercises designed for homework assignments, reviews and exams. It is appropriate for undergraduates as a course textbook or for self-study. Graduate students and researchers will also find it useful as a refresher or to solidify their understanding of basic set theory.
650		0	_aSet theory.
650		0	_aSet theory _vProblems, exercises, etc.
776	0	8	_iPrint version: _z9781107008175
856	4	0	_uhttps://doi.org/10.1017/CBO9780511996351
999			_c519982 _d519980