LEADER 03832nam 2200625 a 450 001 9910462191603321 005 20200520144314.0 010 $a1-61444-506-0 035 $a(CKB)2670000000205113 035 $a(EBL)3330359 035 $a(SSID)ssj0000689936 035 $a(PQKBManifestationID)11450404 035 $a(PQKBTitleCode)TC0000689936 035 $a(PQKBWorkID)10623500 035 $a(PQKB)10033869 035 $a(UkCbUP)CR9781614445067 035 $a(MiAaPQ)EBC3330359 035 $a(WaSeSS)Ind00025568 035 $a(Au-PeEL)EBL3330359 035 $a(CaPaEBR)ebr10722470 035 $a(OCoLC)929120348 035 $a(EXLCZ)992670000000205113 100 $a20100421d2010 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 12$aA historian looks back$b[electronic resource] $ethe calculus as algebra and selected writings /$fby Judith V. Grabiner 210 $a[Washington, D.C.] $cMathematical Association of America$dc2010 215 $a1 online resource (304 p.) 225 1 $aSpectrum series 300 $a"Part I was formerly published as The calculus as algebra: J.-L. Lagrange, 1736-1813 by Garland Publishing, New York, 1990"--P. facing t.p. 311 $a0-88385-572-0 320 $aIncludes bibliographical references and index. 327 $tThe calculus as algebra --$tThe mathematician, the historian, and the history of mathematics --$tWho gave you the epsilon? Cauchy and the origins of rigorous calculus --$tThe changing concept of change: the derivative from Fermat to Weierstrass --$tThe centrality of mathematics in the history of western thought --$tDescartes and problem-solving --$tThe calculus as algebra, the calculus as geometry: Lagrange, Maclaurin, and their legacy --$tWas Newton's calculus a dead end? the continental influence of Maclaurin's treatise of fluxions --$tNewton, Maclaurin, and the authority of mathematics --$tWhy should historical truth matter to mathematicians? dispelling myths while promoting maths --$tWhy did Lagrange "prove" the parallel postulate?. 330 $aJudith Grabiner, the author of A Historian Looks Back, has long been interested in investigating what mathematicians actually do, and how mathematics actually has developed. She addresses the results of her investigations not principally to other historians, but to mathematicians and teachers of mathematics. This book brings together much of what she has had to say to this audience. The centerpiece of the book is The Calculus as Algebra: J.-L. Lagrange, 1736-1813. The book describes the achievements, setbacks, and influence of Lagrange's pioneering attempt to reduce the calculus to algebra. Nine additional articles round out the book describing the history of the derivative; the origin of delta-epsilon proofs; Descartes and problem solving; the contrast between the calculus of Newton and Maclaurin, and that of Lagrange; Maclaurin's way of doing mathematics and science and his surprisingly important influence; some widely held 'myths' about the history of mathematics; Lagrange's attempt to prove Euclid's parallel postulate; and the central role that mathematics has played throughout the history of western civilization. 410 0$aMAA spectrum. 606 $aCalculus$xHistory 606 $aFunctional analysis 606 $aMathematics$xHistory 608 $aElectronic books. 615 0$aCalculus$xHistory. 615 0$aFunctional analysis. 615 0$aMathematics$xHistory. 676 $a515 700 $aGrabiner$b Judith V$0536356 701 2$aGrabiner$b Judith V$0536356 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910462191603321 996 $aA historian looks back$92114531 997 $aUNINA