MARC details
| 000 -LEADER |
|---|
| fixed length control field |
03961nam a22004335i 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 |
20180115171559.0 |
| 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 |
| 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, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
Cham : |
| Name of producer, publisher, distributor, manufacturer |
Springer International Publishing : |
| -- |
Imprint: Birkhäuser, |
| Date of production, publication, distribution, manufacture, or copyright notice |
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 ## - DIGITAL FILE CHARACTERISTICS |
|---|
| File type |
text file |
| Encoding format |
PDF |
| Source |
rda |
| 490 1# - SERIES STATEMENT |
|---|
| Series statement |
Science Networks. Historical Studies, |
| International Standard Serial Number |
1421-6329 ; |
| Volume/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. |
| 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 |
|---|
| Relationship information |
Printed edition: |
| International Standard Book Number |
9783319001302 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
Science Networks. Historical Studies, |
| International Standard Serial Number |
1421-6329 ; |
| Volume number/sequential designation |
49 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
<a href="http://dx.doi.org/10.1007/978-3-319-00131-9">http://dx.doi.org/10.1007/978-3-319-00131-9</a> |
| 912 ## - |
|---|
| -- |
ZDB-2-SMA |