Lacroix and the Calculus / by João Caramalho Domingues
(Science Networks. Historical Studies ; 35)
| データ種別 | 電子ブック |
|---|---|
| 出版情報 | Basel : Birkhäuser Basel , 2008 |
| 本文言語 | 英語 |
| 大きさ | XIV, 468 p : online resource |
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| 内容注記 | A 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 |
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| 一般注記 | 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; 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 |
| 著者標目 | *Domingues, João Caramalho author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:History FREE:Mathematics FREE:History of Mathematical Sciences FREE:History of Science |
| 分 類 | DC23:510.9 |
| 巻冊次 | ISBN:9783764386382 
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| ISBN | 9783764386382 |
| URL | http://dx.doi.org/10.1007/978-3-7643-8638-2 |
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