LEADER 03638nam 2200613 a 450 001 9910821419403321 005 20200520144314.0 010 $a1-281-49169-1 010 $a9786611491697 010 $a3-7643-8638-X 024 7 $a10.1007/978-3-7643-8638-2 035 $a(CKB)1000000000440893 035 $a(EBL)367419 035 $a(OCoLC)272298827 035 $a(SSID)ssj0000188397 035 $a(PQKBManifestationID)11154249 035 $a(PQKBTitleCode)TC0000188397 035 $a(PQKBWorkID)10143539 035 $a(PQKB)10057488 035 $a(DE-He213)978-3-7643-8638-2 035 $a(MiAaPQ)EBC367419 035 $a(Au-PeEL)EBL367419 035 $a(CaPaEBR)ebr10239411 035 $a(CaONFJC)MIL149169 035 $a(PPN)127052801 035 $a(EXLCZ)991000000000440893 100 $a20080109d2008 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aLacroix and the calculus /$fJoa?o Caramalho Domingues 205 $a1st ed. 2008. 210 $aBasel ;$aBoston $cBirkha?user$dc2008 215 $a1 online resource (480 p.) 225 1 $aScience networks historical studies ;$vv. 35 300 $aDescription based upon print version of record. 311 $a3-7643-8637-1 320 $aIncludes bibliographical references (p. [427]-459) and index. 327 $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. 330 $aSilvestre François Lacroix (Paris, 1765 - ibid., 1843) was a most influential mathematical book author. His most famous work is the three-volume Traité du calcul différentiel et du calcul intégral (1797-1800; 2nd ed. 1810-1819) ? an encyclopedic appraisal of 18th-century calculus which remained the standard reference on the subject through much of the 19th century, in spite of Cauchy's reform of the subject in the 1820's. Lacroix and the Calculus is the first major study of Lacroix?s large Traité. It uses the unique and massive bibliography given by Lacroix to explore late 18th-century calculus, and the way it is reflected in Lacroix?s account. Several particular aspects are addressed in detail, including: the foundations of differential calculus, analytic and differential geometry, conceptions of the integral, and types of solutions of differential equations (singular/complete/general integrals, geometrical interpretations, and generality of arbitrary functions). Lacroix?s large Traité... was adapted for teaching into a shorter, textbook version ? the Traité élémentaire de calcul différentiel et de calcul intégral (1802; several later editions). This adaptation is also analysed. Lacroix and the Calculus should appeal to historians and mathematicians interested in the history of the calculus (and especially in the background to Cauchy and Bolzano) and in its teaching in the late 18th and early 19th centuries. 410 0$aScience networks historical studies ;$vv. 35. 606 $aCalculus$xHistory 615 0$aCalculus$xHistory. 676 $a515.09 700 $aDomingues$b Joa?o Caramalho$01649554 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910821419403321 996 $aLacroix and the calculus$93998330 997 $aUNINA