000 06265cam a2201033Ia 4500
001 ocn795795376
003 OCoLC
005 20171224114001.0
006 m o d
007 cr cn|||||||||
008 120619s2012 njua ob 001 0 eng d
010 _a 2011041439
040 _aDG1
_beng
_epn
_cDG1
_dE7B
_dDEBSZ
_dOCLCO
_dOCLCQ
_dYDXCP
_dAZK
_dOCLCA
_dOCLCQ
_dOCLCF
_dHEBIS
_dEBLCP
_dN$T
_dCUS
_dCDX
_dUMI
_dCOO
_dPHADU
_dOCLCQ
_dDG1
_dOCLCO
_dLOA
019 _a792684045
_a794706706
_a824761418
_a953596697
_a961530405
_a962709066
_a966260579
020 _a9781118243879
_q(electronic bk.)
020 _a1118243870
_q(electronic bk.)
020 _a1118204484
020 _a9781118204481
020 _a9781118243824
020 _a111824382X
024 8 _a9786613622389
029 1 _aAU@
_b000049569034
029 1 _aAU@
_b000050492452
029 1 _aAU@
_b000051585617
029 1 _aDEBBG
_bBV041120773
029 1 _aDEBSZ
_b372811027
029 1 _aDEBSZ
_b379325187
029 1 _aDEBSZ
_b396756794
029 1 _aDEBSZ
_b397179472
029 1 _aDEBSZ
_b431068305
029 1 _aDEBSZ
_b449273148
029 1 _aDKDLA
_b820120-katalog:000599622
029 1 _aNZ1
_b14690916
029 1 _aNZ1
_b15340795
035 _a(OCoLC)795795376
_z(OCoLC)792684045
_z(OCoLC)794706706
_z(OCoLC)824761418
_z(OCoLC)953596697
_z(OCoLC)961530405
_z(OCoLC)962709066
_z(OCoLC)966260579
037 _a10.1002/9781118243879
_bWiley InterScience
_nhttp://www3.interscience.wiley.com
050 4 _aQA248
_b.F29 2012
072 7 _aMAT
_x028000
_2bisacsh
082 0 4 _a511.3/22
_223
084 _aMAT016000
_2bisacsh
049 _aMAIN
100 1 _aFaticoni, Theodore G.
_q(Theodore Gerard),
_d1954-
_eauthor.
245 1 4 _aThe mathematics of infinity :
_ba guide to great ideas /
_cTheodore G. Faticoni.
250 _a2nd ed.
260 _aHoboken, N.J. :
_bJohn Wiley & Sons,
_c©2012.
300 _a1 online resource (xv, 338 pages) :
_billustrations.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_2rda
380 _aBibliography
490 1 _aPure and applied mathematics
505 0 _aFront Matter -- Logic -- Sets -- Functions -- Counting Infinite Sets -- Infinite Cardinals -- Well-Ordered Sets -- Inductions and Numbers -- Prime Numbers -- Logic and Meta-Mathematics -- Bibliography -- Index -- Wiley Series in Probability and Statistics --
520 _a"Writing with clear knowledge and affection for the subject, the author introduces and explores infinite sets, infinite cardinals, and ordinals, thus challenging the readers' intuitive beliefs about infinity. Requiring little mathematical training and a healthy curiosity, the book presents a user-friendly approach to ideas involving the infinite. Readers will discover the main ideas of infinite cardinals and ordinal numbers without experiencing in-depth mathematical rigor. Classic arguments and illustrative examples are provided throughout the book and are accompanied by a gradual progression of sophisticated notions designed to stun your intuitive view of the world. Infinity, we are told, is as large as things get. This is not entirely true. This book does not refer to infinities, but rather to cardinals. This is to emphasize the point that what you thought you knew about infinity is probably incorrect or imprecise. Since the reader is assumed to be educated in mathematics, but not necessarily mathematically trained, an attempt has been made to convince the reader of the truth of a matter without resorting to the type of rigor found in professional journals. Therefore, the author has accompanied the proofs with illustrative examples. The examples are often a part of a larger proof. Important facts are included and their proofs have been excluded if the author has determined that the proof is beyond the scope of the discussion. For example, it is assumed and not proven within the book that a collection of cardinals is larger than any set or mathematical object. The topics covered within the book cannot be found within any other one book on infinity, and the work succeeds in being the only book on infinite cardinals for the high school educated person. Topical coverage includes: logic and sets; functions; counting infinite sets; infinite cardinals; well ordered sets; inductions and numbers; prime numbers; and logic and meta-mathematics."--
_cProvided by publisher.
504 _aIncludes bibliographical references and index.
505 0 _a1. Logic -- 2. Sets -- 3. Functions -- 4. Counting infinite sets -- 5. Infinite cardinals -- 6. Well-ordered sets -- 7. Inductions and numbers -- 8. Prime numbers -- 9. Logic and meta-mathematics.
588 0 _aPrint version record.
650 0 _aCardinal numbers.
650 0 _aSet theory.
650 0 _aInfinite.
650 4 _aMATHEMATICS
_xInfinity.
650 4 _aMathematics.
650 4 _aCardinal numbers.
650 4 _aSet theory.
650 4 _aInfinite.
650 7 _aMATHEMATICS
_xInfinity.
_2bisacsh
650 7 _aCardinal numbers.
_2fast
_0(OCoLC)fst00847088
650 7 _aInfinite.
_2fast
_0(OCoLC)fst00972421
650 7 _aSet theory.
_2fast
_0(OCoLC)fst01113587
650 7 _aMengenlehre
_2gnd
650 7 _aUnendlichkeit
_2gnd
650 7 _aKardinalzahl
_2gnd
650 7 _aCardinal numbers.
_2local
650 7 _aSet theory.
_2local
650 7 _aInfinite.
_2local
655 4 _aElectronic books.
655 7 _aElectronic books.
_2local
710 2 _aWiley InterScience (Online service)
776 0 8 _iPrint version:
_aFaticoni, Theodore G. (Theodore Gerard), 1954-
_tMathematics of infinity.
_b2nd ed.
_dHoboken, N.J. : John Wiley & Sons, ©2012
_z9781118204481
_w(DLC) 2011041439
_w(OCoLC)757717957
830 0 _aPure and applied mathematics (John Wiley & Sons : Unnumbered)
856 4 0 _uhttp://onlinelibrary.wiley.com/book/10.1002/9781118243879
_zWiley Online Library
938 _aCoutts Information Services
_bCOUT
_n22306007
938 _aEBL - Ebook Library
_bEBLB
_nEBL818230
938 _aebrary
_bEBRY
_nebr10560609
938 _aEBSCOhost
_bEBSC
_n451357
938 _aYBP Library Services
_bYANK
_n7392040
938 _aYBP Library Services
_bYANK
_n7292986
994 _a92
_bDG1
999 _c11987
_d11987