05899cam a2200949Ia 4500 ocn795795376 OCoLC 20171114090953.0 m o d cr cn||||||||| 120619s2012 njua ob 001 0 eng d 2011041439 9781118243879 (electronic bk.) 1118243870 (electronic bk.) 1118204484 9781118204481 9781118243824 111824382X 9786613622389 AU@ 000049569034 AU@ 000050492452 AU@ 000051585617 DEBBG BV041120773 DEBSZ 372811027 DEBSZ 379325187 DEBSZ 396756794 DEBSZ 397179472 DEBSZ 431068305 DEBSZ 449273148 DKDLA 820120-katalog:000599622 NZ1 14690916 NZ1 15340795 (OCoLC)795795376 (OCoLC)792684045 (OCoLC)794706706 (OCoLC)824761418 (OCoLC)953596697 (OCoLC)961530405 (OCoLC)962709066 (OCoLC)966260579 10.1002/9781118243879 Wiley InterScience http://www3.interscience.wiley.com DG1 eng pn DG1 E7B DEBSZ OCLCO OCLCQ YDXCP AZK OCLCA OCLCQ OCLCF HEBIS EBLCP N$T CUS CDX UMI COO PHADU OCLCQ DG1 OCLCO LOA MAIN QA248 .F29 2012 MAT 028000 bisacsh 511.3/22 23 MAT016000 bisacsh Faticoni, Theodore G. (Theodore Gerard), 1954- author. The mathematics of infinity : a guide to great ideas / Theodore G. Faticoni. [electronic resource] 2nd ed. Hoboken, N.J. : John Wiley & Sons, ©2012. 1 online resource (xv, 338 pages) : illustrations. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file rda Bibliography Pure and applied mathematics Includes bibliographical references and index. Front 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 -- 1. 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. "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."-- Provided by publisher. Print version record. Cardinal numbers. Set theory. Infinite. MATHEMATICS Infinity. Mathematics. Cardinal numbers. Set theory. Infinite. MATHEMATICS Infinity. bisacsh Cardinal numbers. fast (OCoLC)fst00847088 Infinite. fast (OCoLC)fst00972421 Set theory. fast (OCoLC)fst01113587 Mengenlehre gnd Unendlichkeit gnd Kardinalzahl gnd Cardinal numbers. local Set theory. local Infinite. local Electronic books. Electronic books. local Wiley InterScience (Online service) Print version: Faticoni, Theodore G. (Theodore Gerard), 1954- Mathematics of infinity. 2nd ed. Hoboken, N.J. : John Wiley & Sons, ©2012 9781118204481 (DLC) 2011041439 (OCoLC)757717957 Pure and applied mathematics (John Wiley & Sons : Unnumbered) http://onlinelibrary.wiley.com/book/10.1002/9781118243879 Wiley Online Library ddc BK 205968 205968