Authors:
- 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 documents related to the teaching of analysis at the École Polytechnique
Part of the book series: Science Networks. Historical Studies (SNHS, volume 35)
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Table of contents (11 chapters)
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Front Matter
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Back Matter
About this book
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 ofarbitrary functions).
Reviews
From the reviews:
“The present book is a thorough presentation of the calculus from Lacroix’s point of view … . Lacroix and the calculus concludes with four appendices, a Bibliography (thirty-three pages), and an index. … Anyone interested in the history of the calculus will find this book to be of great interest and value in his or her own studies.” (F. J. Papp, Mathematical Reviews, Issue 2011 i)Authors and Affiliations
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Centro de Matemática da Universidade do Minho, Braga, Portugal
João Caramalho Domingues
Bibliographic Information
Book Title: Lacroix and the Calculus
Authors: João Caramalho Domingues
Series Title: Science Networks. Historical Studies
DOI: https://doi.org/10.1007/978-3-7643-8638-2
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkh�user Basel 2008
Hardcover ISBN: 978-3-7643-8637-5Published: 17 April 2008
eBook ISBN: 978-3-7643-8638-2Published: 17 June 2008
Series ISSN: 1421-6329
Series E-ISSN: 2296-6080
Edition Number: 1
Number of Pages: XIV, 468
Topics: History of Mathematical Sciences, History of Science