000 | 03273nam a22004455i 4500 | ||
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001 | 978-3-7643-8638-2 | ||
003 | DE-He213 | ||
005 | 20161121231216.0 | ||
007 | cr nn 008mamaa | ||
008 | 100301s2008 sz | s |||| 0|eng d | ||
020 |
_a9783764386382 _9978-3-7643-8638-2 |
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024 | 7 |
_a10.1007/978-3-7643-8638-2 _2doi |
|
050 | 4 | _aQA21-27 | |
072 | 7 |
_aPBX _2bicssc |
|
072 | 7 |
_aMAT015000 _2bisacsh |
|
082 | 0 | 4 |
_a510.9 _223 |
100 | 1 |
_aDomingues, João Caramalho. _eauthor. |
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245 | 1 | 0 |
_aLacroix and the Calculus _h[electronic resource] / _cby João Caramalho Domingues. |
264 | 1 |
_aBasel : _bBirkhäuser Basel, _c2008. |
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300 |
_aXIV, 468 p. _bonline resource. |
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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 |
_atext file _bPDF _2rda |
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490 | 1 |
_aScience Networks. Historical Studies ; _v35 |
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505 | 0 | _aA short biography of Silvestre-François Lacroix -- An overview of Lacroix’s Traité -- The principles of the calculus -- Analytic and differential geometry -- Approximate integration and conceptions of the integral -- Types of solutions of differential equations -- Aspects of differences and series -- The Traité élémentaire -- The second edition of Lacroix’s Traité -- Final remarks. | |
520 | _aSilvestre François Lacroix (Paris, 1765 - ibid., 1843) was a most influential mathematical book author. His most famous work is the three-volume Traité du calcul différentiel et du calcul intégral (1797-1800; 2nd ed. 1810-1819) – an encyclopedic appraisal of 18th-century calculus which remained the standard reference on the subject through much of the 19th century, in spite of Cauchy's reform of the subject in the 1820's. Lacroix and the Calculus is the first major study of Lacroix’s large Traité. It uses the unique and massive bibliography given by Lacroix to explore late 18th-century calculus, and the way it is reflected in Lacroix’s account. Several particular aspects are addressed in detail, including: the foundations of differential calculus, analytic and differential geometry, conceptions of the integral, and types of solutions of differential equations (singular/complete/general integrals, geometrical interpretations, and generality of arbitrary functions). Lacroix’s large Traité... was adapted for teaching into a shorter, textbook version – the Traité élémentaire de calcul différentiel et de calcul intégral (1802; several later editions). This adaptation is also analysed. Lacroix and the Calculus should appeal to historians and mathematicians interested in the history of the calculus (and especially in the background to Cauchy and Bolzano) and in its teaching in the late 18th and early 19th centuries. | ||
650 | 0 | _aMathematics. | |
650 | 0 | _aHistory. | |
650 | 1 | 4 | _aMathematics. |
650 | 2 | 4 | _aHistory of Mathematical Sciences. |
650 | 2 | 4 | _aHistory of Science. |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783764386375 |
830 | 0 |
_aScience Networks. Historical Studies ; _v35 |
|
856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-3-7643-8638-2 |
912 | _aZDB-2-SMA | ||
950 | _aMathematics and Statistics (Springer-11649) | ||
999 |
_c510162 _d510162 |