| Record ID | marc_columbia/Columbia-extract-20221130-003.mrc:446411234:2279 |
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LEADER: 02279fam a2200361 a 4500
001 1484172
005 20220602044136.0
008 930916t19941994nyua b 001 0 eng
010 $a 93035825
020 $a0387941800 (New York : acid-free paper)
020 $a3540941800 (Berlin : acid-free paper)
035 $a(OCoLC)28926242
035 $a(OCoLC)ocm28926242
035 $9AJB2670CU
035 $a(NNC)1484172
035 $a1484172
040 $aDLC$cDLC$dDLC
050 00 $aQA248$b.M665 1994
082 00 $a511.3/22$220
100 1 $aMoschovakis, Yiannis N.$0http://id.loc.gov/authorities/names/n78078741
245 10 $aNotes on set theory /$cYiannis Moschovakis.
260 $aNew York :$bSpringer-Verlag,$c[1994], ©1994.
300 $axiv, 272 pages :$billustrations ;$c25 cm.
336 $atext$2rdacontent
337 $aunmediated$2rdamedia
338 $avolume$2rdacarrier
490 1 $aUndergraduate texts in mathematics
500 $aIncludes index.
505 0 $a1. Introduction -- 2. Equinumerosity -- 3. Paradoxes and axioms -- 4. Are sets all there is? -- 5. The natural numbers -- 6. Fixed points -- 7. Well ordered sets -- 8. Choices -- 9. Choice's consequences -- 10. Baire space -- 11. Replacement and other axioms -- 12. Ordinal numbers -- A. The real numbers -- B. Axioms and universes.
520 $aThe axiomatic theory of sets is a vibrant part of pure mathematics, with its own basic notions, fundamental results, and deep open problems. At the same time, it is often viewed as a foundation of mathematics so that in the most prevalent, current mathematical practice "to make a notion precise" simply means "to define it in set theory." This book tries to do justice to both aspects of the subject: it gives a solid introduction to "pure set theory" through transfinite recursion and the construction of the cumulative hierarchy of sets (including the basic results that have applications to computer science), but it also attempts to explain precisely how mathematical objects can be faithfully modeled within the universe of sets.
650 0 $aSet theory.$0http://id.loc.gov/authorities/subjects/sh85120387
830 0 $aUndergraduate texts in mathematics.$0http://id.loc.gov/authorities/names/n42025566
852 00 $bmat$hQA248$i.M665 1994