000 | 06086cam a2200901Ia 4500 | ||
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001 | ocn796653831 | ||
003 | OCoLC | ||
005 | 20220711174529.0 | ||
006 | m o d | ||
007 | cr cnu---unuuu | ||
008 | 120625s2010 dcua ob 001 0 eng d | ||
010 | _z 2010927261 | ||
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049 | _aMAIN | ||
100 | 1 |
_aGrabiner, Judith V. _9691107 |
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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. |
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300 |
_a1 online resource (xv, 287 pages) : _billustrations |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_adata file _2rda |
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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 |
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650 | 0 |
_aCalculus _xHistory. _9196076 |
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650 | 0 | _aFunctional analysis. | |
650 | 0 |
_aMathematics _xHistory. _9162094 |
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650 | 6 |
_aCalcul infinitésimal _xHistoire. _9878572 |
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650 | 6 |
_aAnalyse fonctionnelle. _9878573 |
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650 | 6 |
_aMathématiques _xHistoire. _9878574 |
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650 | 7 |
_aMATHEMATICS _xCalculus. _2bisacsh |
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650 | 7 |
_aMATHEMATICS _xMathematical Analysis. _2bisacsh |
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650 | 7 |
_aMATHEMATICS _xHistory & Philosophy. _2bisacsh _9864614 |
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650 | 7 |
_aCalculus. _2fast _0(OCoLC)fst00844119 _963861 |
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650 | 7 |
_aFunctional analysis. _2fast _0(OCoLC)fst00936061 |
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650 | 7 |
_aMathematics. _2fast _0(OCoLC)fst01012163 _937903 |
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_aAnalyse (wiskunde) _2gtt _9878575 |
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_aReprints. _2gtt _9878576 |
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_aFunctionaalanalyse. _2gtt _9878577 |
655 | 0 | _aElectronic books. | |
655 | 4 | _aElectronic books. | |
655 | 7 |
_aHistory. _2fast _0(OCoLC)fst01411628 |
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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. _9368959 |
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