000 03273nam a22004455i 4500
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
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.
245 1 0 _aLacroix and the Calculus
_h[electronic resource] /
_cby João Caramalho Domingues.
264 1 _aBasel :
_bBirkhäuser Basel,
_c2008.
300 _aXIV, 468 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aScience Networks. Historical Studies ;
_v35
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