LEADER 04172nam 2200661 450 001 9910460734303321 005 20200520144314.0 010 $a0-19-100706-4 035 $a(CKB)3710000000442166 035 $a(EBL)2084891 035 $a(SSID)ssj0001535537 035 $a(PQKBManifestationID)11894413 035 $a(PQKBTitleCode)TC0001535537 035 $a(PQKBWorkID)11499742 035 $a(PQKB)10558262 035 $a(MiAaPQ)EBC2084891 035 $a(Au-PeEL)EBL2084891 035 $a(CaPaEBR)ebr11072912 035 $a(CaONFJC)MIL811082 035 $a(OCoLC)913513767 035 $a(EXLCZ)993710000000442166 100 $a20150720h20152015 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 12$aA brief history of numbers /$fLeo Corry 205 $aFirst edition. 210 1$aOxford, England :$cOxford University Press,$d2015. 210 4$dİ2015 215 $a1 online resource (325 p.) 300 $aDescription based upon print version of record. 311 $a0-19-870259-0 320 $aIncludes bibliographical references and index. 327 $aCover; Preface; Contents; 1 The System of Numbers: An Overview; 1.1 From natural to real numbers; 1.2 Imaginary numbers; 1.3 Polynomials and transcendental numbers; 1.4 Cardinals and ordinals; 2 Writing Numbers-Now and Back Then; 2.1 Writing numbers nowadays: positional and decimal; 2.2 Writing numbers back then: Egypt, Babylon and Greece; 3 Numbers and Magnitudes in the Greek Mathematical Tradition; 3.1 Pythagorean numbers; 3.2 Ratios and proportions; 3.3 Incommensurability; 3.4 Eudoxus' theory of proportions; 3.5 Greek fractional numbers; 3.6 Comparisons, not measurements; 3.7 A unit length 327 $a6.1 Fibonacci and Hindu-Arabic numbers in Europe6.2 Abbacus and coss traditions in Europe; 6.3 Cardano's Great Art of Algebra; 6.4 Bombelli and the roots of negative numbers; 6.5 Euclid's Elements in the Renaissance; Appendix 6.1 Casting out nines; 7 Number and Equations at the Beginning of the Scientific Revolution; 7.1 Vie?te and the new art of analysis; 7.2 Stevin and decimal fractions; 7.3 Logarithms and the decimal system of numeration; Appendix 7.1 Napier's construction of logarithmic tables; 8 Number and Equations in the Works of Descartes, Newton and their Contemporaries 327 $a8.1 Descartes' new approach to numbers and equations8.2 Wallis and the primacy of algebra; 8.3 Barrow and the opposition to the primacy of algebra; 8.4 Newton's Universal Arithmetick; Appendix 8.1 The quadratic equation. Descartes' geometric solution; Appendix 8.2 Between geometry and algebra in the seventeenth century: The case of Euclid's Elements; 9 New Definitions of Complex Numbers in the Early Nineteenth Century; 9.1 Numbers and ratios: giving up metaphysics; 9.2 Euler, Gauss and the ubiquity of complex numbers; 9.3 Geometric interpretations of the complex numbers 327 $a9.4 Hamilton's formal definition of complex numbers 330 $aThe world around us is saturated with numbers. They are a fundamental pillar of our modern society, and accepted and used with hardly a second thought. But how did this state of affairs come to be? In this book, Leo Corry tells the story behind the idea of number from the early days of the Pythagoreans, up until the turn of the twentieth century. He presents an overview of how numbers were handled and conceived in classical Greek mathematics, in the mathematics of Islam, in European mathematics of the middle ages and the Renaissance, during the scientific revolution, all the way through to the 606 $aMathematics$xHistory 606 $aMathematics 606 $aNumber theory 606 $aNumber systems 608 $aElectronic books. 615 0$aMathematics$xHistory. 615 0$aMathematics. 615 0$aNumber theory. 615 0$aNumber systems. 676 $a510.9 700 $aCorry$b Leo$0621465 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910460734303321 996 $aA brief history of numbers$92073446 997 $aUNINA