LEADER 03419nam 2200661Ia 450 001 9910457711503321 005 20210519214459.0 010 $a1-280-49435-2 010 $a9786613589583 010 $a1-4008-4170-4 024 7 $a10.1515/9781400841707 035 $a(CKB)2550000000096389 035 $a(EBL)879139 035 $a(OCoLC)825821364 035 $a(SSID)ssj0000656733 035 $a(PQKBManifestationID)11408834 035 $a(PQKBTitleCode)TC0000656733 035 $a(PQKBWorkID)10634587 035 $a(PQKB)11261826 035 $a(MiAaPQ)EBC879139 035 $a(DE-B1597)447590 035 $a(OCoLC)979742227 035 $a(DE-B1597)9781400841707 035 $a(PPN)18734602X 035 $a(Au-PeEL)EBL879139 035 $a(CaPaEBR)ebr10546811 035 $a(CaONFJC)MIL358958 035 $a(EXLCZ)992550000000096389 100 $a20120417d2012 uy 0 101 0 $aeng 135 $aurun#---|u||r 181 $ctxt 182 $cc 183 $acr 200 14$aThe irrationals$b[electronic resource] $ea story of the numbers you can't count on /$fJulian Havil 205 $aCourse Book 210 $aPrinceton, NJ $cPrinceton University Press$d2012 215 $a1 online resource (311 p.) 300 $aDescription based upon print version of record. 311 0 $a0-691-16353-7 311 0 $a0-691-14342-0 320 $aIncludes bibliographical references and index. 327 $tFront matter --$tContents --$tAcknowledgments --$tIntroduction --$tChapter one. Greek Beginnings --$tChapter Two. The Route to Germany --$tChapter Three. Two New Irrationals --$tChapter Four. Irrationals, Old and New --$tChapter Five. A Very Special Irrational --$tChapter Six. From the Rational to the Transcendental --$tChapter Seven. Transcendentals --$tChapter Eight. Continued Fractions Revisited --$tChapter Nine. The Question and Problem of Randomness --$tChapter Ten. One Question, Three Answers --$tChapter Eleven. Does Irrationality Matter? --$tAppendix A. The Spiral of Theodorus --$tAppendix B. Rational Parameterizations of the Circle --$tAppendix C. Two Properties of Continued Fractions --$tAppendix D. Finding the Tomb of Roger Apéry --$tAppendix E. Equivalence Relations --$tAppendix F. The Mean Value Theorem --$tIndex 330 $aThe ancient Greeks discovered them, but it wasn't until the nineteenth century that irrational numbers were properly understood and rigorously defined, and even today not all their mysteries have been revealed. In The Irrationals, the first popular and comprehensive book on the subject, Julian Havil tells the story of irrational numbers and the mathematicians who have tackled their challenges, from antiquity to the twenty-first century. Along the way, he explains why irrational numbers are surprisingly difficult to define-and why so many questions still surround them. Fascinating and illuminating, this is a book for everyone who loves math and the history behind it. 606 $aNumber theory 606 $aLogic, Symbolic and mathematical 608 $aElectronic books. 615 0$aNumber theory. 615 0$aLogic, Symbolic and mathematical. 676 $a512.786 700 $aHavil$b Julian$f1952-$0289260 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910457711503321 996 $aThe irrationals$92440909 997 $aUNINA