ISBN:
9783764386382
Language:
English
Pages:
Online-Ressource (XIV, 468 p, online resource)
Series Statement:
Science Networks. Historical Studies 35
Series Statement:
SpringerLink
Series Statement:
Bücher
Series Statement:
Springer eBook Collection
Series Statement:
Humanities, Social Science and Law
Parallel Title:
Druckausg. Domingues, João Caramalho Lacroix and the Calculus
DDC:
515.09
Keywords:
History
;
Mathematics
;
Hochschulschrift
;
Lacroix, S. F. 1765-1843
;
Infinitesimalrechnung
Abstract:
Silvestre François Lacroix was not a prominent mathematical researcher, but he was certainly a most influential mathematical book author. His most famous work is the three-volume Traité du calcul différentiel et du calcul intégral, which is an encyclopedic appraisal of 18th-century calculus that remained the standard reference on the subject through much of the 19th century. This book provides the first global and detailed study of Lacroix's Traité Traité du calcul.
Abstract:
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).
DOI:
10.1007/978-3-7643-8638-2
URL:
Volltext
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