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Titlebook: Lacroix and the Calculus; João Caramalho Domingues Book 2008 Birkh�user Basel 2008 Lacroix, Sylvestre F..calculus.differential calculus.di

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发表于 2025-3-21 19:20:44 | 显示全部楼层 |阅读模式
书目名称Lacroix and the Calculus
编辑João Caramalho Domingues
视频video
概述First global and detailed study of Lacroix‘s Traité du calcul.Compares this major reference work with its background and sources.Includes transcriptions of Lacroix‘s research manuscripts, and of docum
丛书名称Science Networks. Historical Studies
图书封面Titlebook: Lacroix and the Calculus;  João Caramalho Domingues Book 2008 Birkh�user Basel 2008 Lacroix, Sylvestre F..calculus.differential calculus.di
描述.Silvestre 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; 2.nd. ed. 1810-1819) – an encyclopedic appraisal of 18th-century calculus which remained the standard reference on the subject through much of the 19.th. 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 18.th.-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 ofarbitrary functions).   .
出版日期Book 2008
关键词Lacroix, Sylvestre F; ; calculus; differential calculus; differential equation; integral; integration
版次1
doihttps://doi.org/10.1007/978-3-7643-8638-2
isbn_ebook978-3-7643-8638-2Series ISSN 1421-6329 Series E-ISSN 2296-6080
issn_series 1421-6329
copyrightBirkh�user Basel 2008
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发表于 2025-3-21 23:06:50 | 显示全部楼层
,An overview of Lacroix’s ,grals included there for a project “dans lequel j’ai pour objet de rassembler dans un corps d’ouvrage les materiaux sur le calcul integral qui se trouvent dans les memoires des societes savantes”. [Lacroix ., ms 2397]; in 1792 he communicated the same intent to Laplace [Taton ., 353].
发表于 2025-3-22 01:45:19 | 显示全部楼层
Book 2008té du calcul différentiel et du calcul intégral (1797-1800; 2.nd. ed. 1810-1819) – an encyclopedic appraisal of 18th-century calculus which remained the standard reference on the subject through much of the 19.th. century, in spite of Cauchy‘s reform of the subject in the 1820‘s...Lacroix and the Ca
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发表于 2025-3-22 10:28:51 | 显示全部楼层
Approximate integration and conceptions of the integral,erefore the area under the curve represented by .. However, he later adopted the name ., coined by Johann I Bernoulli but first proposed in print by his brother Jacob, suggestive of a different definition for the operation represented by ∫ : simply the inverse operation of differentiation [Bos ., 20–22; Boyer ., 205].
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发表于 2025-3-22 20:39:00 | 显示全部楼层
1421-6329 anscriptions of Lacroix‘s research manuscripts, and of docum.Silvestre 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; 2.nd. ed. 1810-1819) – an ency
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发表于 2025-3-23 03:42:05 | 显示全部楼层
,An overview of Lacroix’s ,d by his correspondence: during his stay in Besançon (1788–1793) he wrote to mathematicians in Paris asking them to send him material or information on how to find it. In October 1789 Lacroix thanked Legendre for information on a work by Landen, and explained that he wished to use the tables of inte
发表于 2025-3-23 05:47:08 | 显示全部楼层
Analytic and differential geometry,calculus to the theory of curves” (and of curved surfaces) — what we now call differential geometry — but also the “purely algebraic part of that theory” — analytic geometry. Lacroix explained the inclusion of analytic geometry by his desire to offer a full set (“ensemble complet”) and to relate not
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