000 -LEADER |
fixed length control field |
03273nam a22004455i 4500 |
001 - CONTROL NUMBER |
control field |
978-3-7643-8638-2 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
DE-He213 |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20161121231216.0 |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
fixed length control field |
cr nn 008mamaa |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
100301s2008 sz | s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9783764386382 |
-- |
978-3-7643-8638-2 |
024 7# - OTHER STANDARD IDENTIFIER |
Standard number or code |
10.1007/978-3-7643-8638-2 |
Source of number or code |
doi |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA21-27 |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
PBX |
Source |
bicssc |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
MAT015000 |
Source |
bisacsh |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
510.9 |
Edition number |
23 |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Domingues, João Caramalho. |
Relator term |
author. |
245 10 - TITLE STATEMENT |
Title |
Lacroix and the Calculus |
Medium |
[electronic resource] / |
Statement of responsibility, etc. |
by João Caramalho Domingues. |
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
Place of production, publication, distribution, manufacture |
Basel : |
Name of producer, publisher, distributor, manufacturer |
Birkhäuser Basel, |
Date of production, publication, distribution, manufacture, or copyright notice |
2008. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
XIV, 468 p. |
Other physical details |
online resource. |
336 ## - CONTENT TYPE |
Content type term |
text |
Content type code |
txt |
Source |
rdacontent |
337 ## - MEDIA TYPE |
Media type term |
computer |
Media type code |
c |
Source |
rdamedia |
338 ## - CARRIER TYPE |
Carrier type term |
online resource |
Carrier type code |
cr |
Source |
rdacarrier |
347 ## - DIGITAL FILE CHARACTERISTICS |
File type |
text file |
Encoding format |
PDF |
Source |
rda |
490 1# - SERIES STATEMENT |
Series statement |
Science Networks. Historical Studies ; |
Volume/sequential designation |
35 |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
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. |
520 ## - SUMMARY, ETC. |
Summary, etc. |
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. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Mathematics. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
History. |
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Mathematics. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
History of Mathematical Sciences. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
History of Science. |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Relationship information |
Printed edition: |
International Standard Book Number |
9783764386375 |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
Uniform title |
Science Networks. Historical Studies ; |
Volume/sequential designation |
35 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-3-7643-8638-2 |
912 ## - |
-- |
ZDB-2-SMA |