The Resource Lacroix and the calculus, João Caramalho Domingues

Lacroix and the calculus, João Caramalho Domingues

Label
Lacroix and the calculus
Title
Lacroix and the calculus
Statement of responsibility
João Caramalho Domingues
Creator
Subject
Genre
Language
eng
Summary
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) {u2013} 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{u2019}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{u2019}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{u2019}s large Traité ... was adapted for teaching into a shorter, textbook version {u2013} 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
Member of
Cataloging source
GW5XE
Dewey number
515.09
Illustrations
illustrations
Index
index present
LC call number
QA303.2
LC item number
.D66 2008eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Science networks historical studies
Series volume
v. 35
Label
Lacroix and the calculus, João Caramalho Domingues
Publication
Bibliography note
Includes bibliographical references (pages 427-459) and index
http://library.link/vocab/branchCode
  • net
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
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 difference and series -- The Traité élémentaire -- the second edition of the traité -- Final remarks -- Two memoirs by Lacroix -- Lacroix's historical appraisal of his own Traité -- Syllabi of Lacroix's course of analysis at the École Polytechnique -- Biographical data ona few obscure characters
Control code
ocn272298827
Dimensions
unknown
Extent
1 online resource (xiv, 468 pages)
Form of item
online
Isbn
9783764386382
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other physical details
illustrations
http://library.link/vocab/ext/overdrive/overdriveId
978-3-7643-8637-5
http://library.link/vocab/recordID
.b2359729x
Specific material designation
remote
System control number
  • (OCoLC)272298827
  • pebcs3764386371

Library Locations

    • Deakin University Library - Geelong Waurn Ponds CampusBorrow it
      75 Pigdons Road, Waurn Ponds, Victoria, 3216, AU
      -38.195656 144.304955
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