LEADER 00000cam a2200625Ka 4500 001 ocn817922080 003 OCoLC 005 20160527041213.6 006 m o d 007 cr cnu---unuuu 008 121114s1997 enk ob 001 0 eng d 019 852896277 020 9781139173131|q(electronic book) 020 1139173138|q(electronic book) 020 9781107089068|q(electronic book) 020 1107089069|q(electronic book) 020 |z0521594413 020 |z9780521594417 020 |z0521594650 020 |z9780521594653 035 (OCoLC)817922080|z(OCoLC)852896277 040 CAMBR|beng|epn|cCAMBR|dIDEBK|dN$T|dE7B|dOCLCF|dOCLCQ 049 RIDW 050 4 QA248|b.C475 1997eb 072 7 MAT|x028000|2bisacsh 082 04 511.3/22|222 084 SK 150|2rvk 090 QA248|b.C475 1997eb 100 1 Ciesielski, Krzysztof,|d1957-|0https://id.loc.gov/ authorities/names/n93095391 245 10 Set theory for the working mathematician /|cKrzysztof Ciesielski. 264 1 Cambridge ;|aNew York :|bCambridge University Press, |c[1997] 264 4 |c©1997 300 1 online resource (xi, 236 pages). 336 text|btxt|2rdacontent 337 computer|bc|2rdamedia 338 online resource|bcr|2rdacarrier 340 |gpolychrome|2rdacc 347 text file|2rdaft 490 1 London Mathematical Society student texts ;|v39 504 Includes bibliographical references (pages 225-227) and index. 505 00 |tBasics of set theory --|tAxiomatic set theory --|tWhy axiomatic set theory? --|tLanguage and the basic axioms -- |tRelations, functions, and Cartesian product -- |tRelations and the axiom of choice --|tFunctions and the replacement scheme axiom --|tGeneralized union, intersection, and Cartesian product --|tPartial- and linear-order relations --|tNatural numbers, integers, and real numbers --|tNatural numbers --|tIntegers and rational numbers --|tReal numbers --|tFundamental tools of set theory --|tWell orderings and transfinite induction -- |tWell-ordered sets and the axiom of foundation -- |tOrdinal numbers --|tDefinitions by transfinite induction --|tZorn's lemma in algebra, analysis, and topology -- |tCardinal numbers --|tCardinal numbers and the continuum hypothesis --|tCardinal arithmetic --|tCofinality -- |tPower of recursive definitions --|tSubsets of R[superscript n] --|tStrange subsets of R[superscript n] and the diagonalization argument --|tClosed sets and Borel sets --|tLebesgue-measurable sets and sets with the Baire property --|tStrange real functions --|tMeasurable and nonmeasurable functions --|tDarboux functions --|tAdditive functions and Hamel bases --|tSymmetrically discontinuous functions --|tWhen induction is too short --|tMartin's axiom --|tRasiowa-Sikorski lemma --|tMartin's axiom -- |tSuslin hypothesis and diamond principle --|tForcing -- |tElements of logic and other forcing preliminaries -- |tForcing method and a model for [not sign]CH --|tModel for CH and [diamonds suit symbol] --|tProduct lemma and Cohen model --|tModel for MA+[not sign]CH. 588 0 Print version record. 590 eBooks on EBSCOhost|bEBSCO eBook Subscription Academic Collection - North America 650 0 Set theory.|0https://id.loc.gov/authorities/subjects/ sh85120387 650 7 Set theory.|2fast|0https://id.worldcat.org/fast/1113587 655 4 Electronic books. 776 08 |iPrint version:|aCiesielski, Krzysztof, 1957-|tSet theory for the working mathematician.|dCambridge ; New York : Cambridge University Press, ©1997|z0521594413|w(DLC) 97010533|w(OCoLC)36621835 830 0 London Mathematical Society student texts ;|0https:// id.loc.gov/authorities/names/n84727069|v39. 856 40 |uhttps://rider.idm.oclc.org/login?url=http:// search.ebscohost.com/login.aspx?direct=true&scope=site& db=nlebk&AN=570383|zOnline eBook. Access restricted to current Rider University students, faculty, and staff. 856 42 |3Instructions for reading/downloading this eBook|uhttp:// guides.rider.edu/ebooks/ebsco 901 MARCIVE 20231220 948 |d20160607|cEBSCO|tebscoebooksacademic|lridw 994 92|bRID