Seventeenth-Century Indivisibles Revisited (Record no. 262437)

MARC details
000 -LEADER
fixed length control field 04110nam a22004695i 4500
001 - CONTROL NUMBER
control field 978-3-319-00131-9
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20160615101638.0
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 150519s2015 gw | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783319001319
-- 978-3-319-00131-9
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-3-319-00131-9
Source of number or code doi
049 ## - LOCAL HOLDINGS (OCLC)
Holding library Alfaisal Main Library
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
245 10 - TITLE STATEMENT
Title Seventeenth-Century Indivisibles Revisited
Medium [electronic resource] /
Statement of responsibility, etc edited by Vincent Jullien.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS
Place of production, publication, distribution, manufacture Cham :
Name of producer, publisher, distributor, manufacturer Springer International Publishing :
-- Imprint: Birkhäuser,
Date of production, publication, distribution, manufacture 2015.
300 ## - PHYSICAL DESCRIPTION
Extent VI, 499 p. 231 illus., 70 illus. in color.
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 ## -
-- text file
-- PDF
-- rda
490 1# - SERIES STATEMENT
Series statement Science Networks. Historical Studies,
International Standard Serial Number 1421-6329 ;
Volume number/sequential designation 49
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Introduction -- 1 From Aristotle to the Classical Age : the Debate around Indivibilism -- 2 Cavalieri’s Indivisibles -- 3 Kepler, Cavalieri, Guldin -- 4 Indivisibles in the Work of Galileo -- 5 Torricelli’s indivisibles -- 6 The method of indivisibles that Gregory of Saint Vincent could have used for his own quadrature of Hyperbola -- 7 Descartes and the use of indivisibles -- 8 Roberval’s indivisibles -- 9 Pascal’s indivisibles -- 10 Two jesuits against indivibles, Lalouvère and Tacquet -- 11 Isaac Barrow’s indivisibles -- 12 The role of indivisibles in Mengoli´s quadratures -- 13 Wallis on indivisibles -- 14 Leibniz’s rigorous foundations of the method of indivisibles -- 15 Newton on indivisibles.-16 An epistemological route in the historiography on indivisibles -- 17 Archimedes and indivisibles -- 18 Indivisibles and Latitude of Forms -- 19 How to explain the use of the term indivisibles as late as 1700 for the discovery of multiple rainbows?  .
520 ## - SUMMARY, ETC.
Summary, etc The tremendous success of indivisibles methods in geometry in the seventeenth century, responds to a vast project: installation of infinity in mathematics. The pathways by the authors are very diverse, as are the characterizations of indivisibles, but there are significant factors of unity between the various doctrines of indivisible; the permanence of the language used by all authors is the strongest sign. These efforts do not lead to the stabilization of a mathematical theory (with principles or axioms, theorems respecting these first statements, followed by applications to a set of geometric situations), one must nevertheless admire the magnitude of the results obtained by these methods and highlights the rich relationships between them and integral calculus. The present book aims to be exhaustive since it analyzes the works of all major inventors of methods of indivisibles during the seventeenth century, from Kepler to Leibniz. It takes into account the rich existing literature usually devoted to a single author. This book results from the joint work of a team of specialists able to browse through this entire important episode in the history of mathematics and to comment it. The list of authors involved in indivisibles´ field is probably sufficient to realize the richness of this attempt; one meets Kepler, Cavalieri, Galileo, Torricelli, Gregoire de Saint Vincent, Descartes, Roberval, Pascal, Tacquet, Lalouvère, Guldin, Barrow, Mengoli, Wallis, Leibniz, Newton.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element History.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element History of Mathematical Sciences.
655 #7 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
Source of term local
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Jullien, Vincent.
Relator term editor.
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
Display text Printed edition:
International Standard Book Number 9783319001302
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Science Networks. Historical Studies,
-- 1421-6329 ;
Volume number/sequential designation 49
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="http://ezproxy.alfaisal.edu/login?url=http://dx.doi.org/10.1007/978-3-319-00131-9">http://ezproxy.alfaisal.edu/login?url=http://dx.doi.org/10.1007/978-3-319-00131-9</a>
912 ## -
-- ZDB-2-SMA
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Library of Congress Classification
Koha item type eBooks

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