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008191028s2019 njua ob 001 0 eng d
019 ▼a 1110108642
020 ▼a 9780691194233 ▼q (electronic bk.)
020 ▼a 0691194238 ▼q (electronic bk.)
020 ▼z 9780691192963
020 ▼z 0691192960
035 ▼a 2101950 ▼b (N$T)
035 ▼a (OCoLC)1125956272 ▼z (OCoLC)1110108642
037 ▼a 22573/ctvft8jg2 ▼b JSTOR
040 ▼a YDX ▼b eng ▼e rda ▼e pn ▼c YDX ▼d OCLCO ▼d N$T ▼d EBLCP ▼d JSTOR ▼d UKAHL ▼d DEGRU ▼d 248032
049 ▼a MAIN
050 4 ▼a QA466 ▼b .R53 2019
08204 ▼a 516.204 ▼2 23
1001 ▼a Richeson, David S. ▼q (David Scott), ▼e author.
24510 ▼a Tales of impossibility : ▼b the 2000-year quest to solve the mathematical problems of antiquity / ▼c David S. Richeson.
260 ▼a Princeton, NJ : ▼b Princeton University Press, ▼c [2019]
300 ▼a 1 online resource (xii, 436 pages ) : ▼b illustrations.
336 ▼a text ▼b txt ▼2 rdacontent
337 ▼a computer ▼2 rdamedia
338 ▼a online resource ▼2 rdacarrier
504 ▼a Includes bibliographical references (pages 405-428) and index.
520 ▼a A comprehensive look at four of the most famous problems in mathematicsTales of Impossibility recounts the intriguing story of the renowned problems of antiquity, four of the most famous and studied questions in the history of mathematics. First posed by the ancient Greeks, these compass and straightedge problems--squaring the circle, trisecting an angle, doubling the cube, and inscribing regular polygons in a circle--have served as ever-present muses for mathematicians for more than two millennia. David Richeson follows the trail of these problems to show that ultimately their proofs--demonstrating the impossibility of solving them using only a compass and straightedge--depended on and resulted in the growth of mathematics.Richeson investigates how celebrated luminaries, including Euclid, Archimedes, Vie?te, Descartes, Newton, and Gauss, labored to understand these problems and how many major mathematical discoveries were related to their explorations. Although the problems were based in geometry, their resolutions were not, and had to wait until the nineteenth century, when mathematicians had developed the theory of real and complex numbers, analytic geometry, algebra, and calculus. Pierre Wantzel, a little-known mathematician, and Ferdinand von Lindemann, through his work on pi, finally determined the problems were impossible to solve. Along the way, Richeson provides entertaining anecdotes connected to the problems, such as how the Indiana state legislature passed a bill setting an incorrect value for pi and how Leonardo da Vinci made elegant contributions in his own study of these problems.Taking readers from the classical period to the present, Tales of Impossibility chronicles how four unsolvable problems have captivated mathematical thinking for centuries.
588 ▼a Description based on print version record.
590 ▼a OCLC control number change
650 0 ▼a Geometry ▼x Famous problems.
650 0 ▼a Mathematics, Ancient.
650 7 ▼a MATHEMATICS / History & Philosophy. ▼2 bisacsh
655 4 ▼a Electronic books.
77608 ▼c Original ▼z 9780691192963 ▼z 0691192960 ▼w (OCoLC)1089485427
85640 ▼3 EBSCOhost ▼u http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=2101950
938 ▼a YBP Library Services ▼b YANK ▼n 16356123
938 ▼a De Gruyter ▼b DEGR ▼n 9780691194233
938 ▼a Askews and Holts Library Services ▼b ASKH ▼n AH36531650
938 ▼a ProQuest Ebook Central ▼b EBLB ▼n EBL5837252
938 ▼a EBSCOhost ▼b EBSC ▼n 2101950
990 ▼a 관리자
994 ▼a 92 ▼b N$T