LEADER 03870nam 22006372 450 001 9910816808903321 005 20160331133659.0 010 $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(WaSeSS)Ind00025568 035 $a(Au-PeEL)EBL3330359 035 $a(CaPaEBR)ebr10722470 035 $a(OCoLC)929120348 035 $a(RPAM)16197449 035 $a(MiAaPQ)EBC3330359 035 $a(EXLCZ)992670000000205113 100 $a20111001d2010|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 12$aA historian looks back $ethe calculus as algebra and selected writings /$fby Judith V. Grabiner$b[electronic resource] 210 1$aWashington :$cMathematical Association of America,$d2010. 215 $a1 online resource (xv, 287 pages) $cdigital, PDF file(s) 225 1 $aSpectrum series 300 $aTitle from publisher's bibliographic system (viewed on 02 Oct 2015). 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. 517 3 $aCalculus as algebra and selected writings 606 $aCalculus$xHistory 606 $aFunctional analysis 606 $aMathematics$xHistory 615 0$aCalculus$xHistory. 615 0$aFunctional analysis. 615 0$aMathematics$xHistory. 676 $a515 686 $a31.01$2bcl 700 $aGrabiner$b Judith V.$0536356 702 2$aGrabiner$b Judith V 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910816808903321 996 $aA historian looks back$94027080 997 $aUNINA