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035 _a(OCoLC)796653831
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049 _aMAIN
100 1 _aGrabiner, Judith V.
_9691107
245 1 2 _aA historian looks back :
_bthe calculus as algebra and selected writings /
_cby Judith V. Grabiner.
246 3 _aCalculus as algebra and selected writings
260 _a[Washington, DC] :
_bMathematical Association of America,
_c©2010.
300 _a1 online resource (xv, 287 pages) :
_billustrations
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _adata file
_2rda
490 1 _aSpectrum series
500 _a"Part I was formerly published as The calculus as algebra: J.-L. Lagrange, 1736-1813 by Garland Publishing, New York, 1990"--Preliminary page.
504 _aIncludes bibliographical references and index.
505 0 0 _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?
588 0 _aPrint version record.
520 _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.
590 _aeBooks on EBSCOhost
_bEBSCO eBook Subscription Academic Collection - Worldwide
650 0 _aCalculus
_xHistory.
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650 0 _aFunctional analysis.
650 0 _aMathematics
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650 6 _aCalcul infinitésimal
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650 7 _aMATHEMATICS
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650 7 _aMATHEMATICS
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650 7 _aMATHEMATICS
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650 7 _aCalculus.
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655 0 _aElectronic books.
655 4 _aElectronic books.
655 7 _aHistory.
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700 1 2 _aGrabiner, Judith V.
_tCalculus as algebra.
_9878578
776 0 8 _iPrint version:
_aGrabiner, Judith V.
_tHistorian looks back.
_d[Washington, DC] : Mathematical Association of America, ©2010
_z0883855720
_w(DLC) 2010927261
_w(OCoLC)653403624
830 0 _aMAA spectrum.
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