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019 ▼a 952597225 ▼a 987921596
020 ▼a 9781400880560 ▼q electronic bk.
020 ▼a 1400880564 ▼q electronic bk.
020 ▼z 9780691171685 ▼q hardcover ; ▼q alk. paper
020 ▼z 0691171688 ▼q hardcover ; ▼q alk. paper
020 ▼z 9780691178547 ▼q paperback
020 ▼z 0691178542 ▼q paperback
0247 ▼a 10.1515/9781400880560 ▼2 doi
035 ▼a 1107942 ▼b (N$T)
035 ▼a (OCoLC)946359807 ▼z (OCoLC)952597225 ▼z (OCoLC)987921596
037 ▼a 4336787 ▼b Proquest Ebook Central
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049 ▼a MAIN
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072 7 ▼a MAT ▼x 023000 ▼2 bisacsh
072 7 ▼a MAT ▼x 026000 ▼2 bisacsh
08204 ▼a 510.71/1 ▼2 23
1001 ▼a Stillwell, John, ▼e author.
24510 ▼a Elements of mathematics : ▼b from Euclid to Go?del / ▼c John Stillwell.
260 ▼a Princeton : ▼b Princeton University Press, ▼c [2016]
300 ▼a 1 online resource (xiv, 422 pages) : ▼b illustrations
336 ▼a text ▼b txt ▼2 rdacontent
337 ▼a computer ▼b c ▼2 rdamedia
338 ▼a online resource ▼b cr ▼2 rdacarrier
347 ▼a text file ▼b PDF ▼2 rda
504 ▼a Includes bibliographical references and index.
5050 ▼a Elementary topics -- Arithmetic -- Computation -- Algebra -- Geometry -- Calculus -- Combinatorics -- Probability -- Logic -- Some advanced mathematics.
520 ▼a "Elements of Mathematics takes readers on a fascinating tour that begins in elementary mathematics-but, as John Stillwell shows, this subject is not as elementary or straightforward as one might think. Not all topics that are part of today's elementary mathematics were always considered as such, and great mathematical advances and discoveries had to occur in order for certain subjects to become'elementary.'Stillwell examines elementary mathematics from a distinctive twenty-first-century viewpoint and describes not only the beauty and scope of the discipline, but also its limits.From Gaussian integers to propositional logic, Stillwell delves into arithmetic, computation, algebra, geometry, calculus, combinatorics, probability, and logic. He discusses how each area ties into more advanced topics to build mathematics as a whole. Through a rich collection of basic principles, vivid examples, and interesting problems, Stillwell demonstrates that elementary mathematics becomes advanced with the intervention of infinity. Infinity has been observed throughout mathematical history, but the recent development of'reverse mathematics'confirms that infinity is essential for proving well-known theorems, and helps to determine the nature, contours, and borders of elementary mathematics.Elements of Mathematics gives readers, from high school students to professional mathematicians, the highlights of elementary mathematics and glimpses of the parts of math beyond its boundaries"--Publisher's description.
588 ▼a Description based on online resource; title from electronic title page (EBSCOhost, viewed March 14, 2018).
590 ▼a Master record variable field(s) change: 050
650 0 ▼a Mathematics ▼x Study and teaching (Higher)
650 7 ▼a Mathematics ▼x Study and teaching (Higher) ▼2 fast ▼0 (OCoLC)fst01012286
650 7 ▼a MATHEMATICS / Essays ▼2 bisacsh
650 7 ▼a MATHEMATICS / Pre-Calculus ▼2 bisacsh
650 7 ▼a MATHEMATICS / Reference ▼2 bisacsh
655 4 ▼a Electronic books.
77608 ▼i Erscheint auch als: ▼n Druck-Ausgabe ▼a Stillwell, John. Elements of Mathematics . ▼t From Euclid to Godel
77608 ▼i Print version: ▼a Stillwell, John. ▼t Elements of mathematics. ▼d Princeton : Princeton University Press, [2016] ▼z 9780691171685 ▼w (DLC) 2015045022 ▼w (OCoLC)933596228
85640 ▼3 EBSCOhost ▼u http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=1107942
938 ▼a EBSCOhost ▼b EBSC ▼n 1107942
938 ▼a ProQuest MyiLibrary Digital eBook Collection ▼b IDEB ▼n cis34172282
938 ▼a YBP Library Services ▼b YANK ▼n 12758962
938 ▼a EBL - Ebook Library ▼b EBLB ▼n EBL4336787
938 ▼a Coutts Information Services ▼b COUT ▼n 34172282
938 ▼a De Gruyter ▼b DEGR ▼n 9781400880560
990 ▼a 관리자
994 ▼a 92 ▼b N$T