The Resource Lacroix and the Calculus, by João Caramalho Domingues, (electronic resource)

Lacroix and the Calculus, by João Caramalho Domingues, (electronic resource)

Label
Lacroix and the Calculus
Title
Lacroix and the Calculus
Statement of responsibility
by João Caramalho Domingues
Creator
Author
Author
Subject
Language
  • eng
  • 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) – 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
Member of
Is Subseries of
http://library.link/vocab/creatorName
Caramalho Domingues, João
Dewey number
515.09
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
hqVeRfb8EzE
Language note
English
LC call number
QA21-27
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Science Networks. Historical Studies,
Series volume
35
http://library.link/vocab/subjectName
  • History
  • History of Mathematical Sciences
  • History of Science
Label
Lacroix and the Calculus, by João Caramalho Domingues, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. [427]-459) and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
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 differences and series -- The Traité élémentaire -- The second edition of Lacroix’s Traité -- Final remarks
Dimensions
unknown
Edition
1st ed. 2008.
Extent
1 online resource (480 p.)
Form of item
online
Isbn
9781281491695
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-7643-8638-2
Specific material designation
remote
System control number
  • (CKB)1000000000440893
  • (EBL)367419
  • (OCoLC)272298827
  • (SSID)ssj0000188397
  • (PQKBManifestationID)11154249
  • (PQKBTitleCode)TC0000188397
  • (PQKBWorkID)10143539
  • (PQKB)10057488
  • (DE-He213)978-3-7643-8638-2
  • (MiAaPQ)EBC367419
  • (EXLCZ)991000000000440893
Label
Lacroix and the Calculus, by João Caramalho Domingues, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. [427]-459) and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
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 differences and series -- The Traité élémentaire -- The second edition of Lacroix’s Traité -- Final remarks
Dimensions
unknown
Edition
1st ed. 2008.
Extent
1 online resource (480 p.)
Form of item
online
Isbn
9781281491695
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-7643-8638-2
Specific material designation
remote
System control number
  • (CKB)1000000000440893
  • (EBL)367419
  • (OCoLC)272298827
  • (SSID)ssj0000188397
  • (PQKBManifestationID)11154249
  • (PQKBTitleCode)TC0000188397
  • (PQKBWorkID)10143539
  • (PQKB)10057488
  • (DE-He213)978-3-7643-8638-2
  • (MiAaPQ)EBC367419
  • (EXLCZ)991000000000440893

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