東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Leibniz on the foundations of the di...

Arthur, Richard T. W.

Linked to FindBook

Google Book

Amazon

博客來

Leibniz on the foundations of the differential calculus

Record Type:	Electronic resources : Monograph/item
Title/Author:	Leibniz on the foundations of the differential calculus/ by Richard T. W. Arthur, David Rabouin.
Author:	Arthur, Richard T. W.
other author:	Rabouin, David.
Published:	Cham :Springer Nature Switzerland : : 2025.,
Description:	xv, 287 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	- Part I Interpretive Essay -- Chapter 1. Introduction -- Chapter 2. On the Metaphysics of the Continuum (1669-1676) -- Chapter 3. Mathematical Fictions -- Chapter 4. De Quadratura Arithmetica (DQA) -- Chapter 5. Infinitesimals and Existence after 1676 -- Chapter 6. Leibniz's Mature Justifications of the Calculus -- Chapter 7. Conclusion -- Part II A selection of translations of key texts -- Chapter 8: Texts for chapter 2, On the Metaphysics of the Continuum (1669-1676) -- Chapter 9: Texts for chapter 3, Mathematical Fictions -- Chapter 10: Texts for chapter 4, De Quadratura Arithmetica (DQA) -- Chapter 11: Texts for chapter 5, Infinitesimals and Existence after 1676 -- Chapter 12: Texts for chapter 6, Leibniz's Mature Justifications of the Calculus.
Contained By:	Springer Nature eBook
Subject:	Differential calculus - Early works to 1800. -
Online resource:	https://doi.org/10.1007/978-3-031-77259-7
ISBN:	9783031772597

Leibniz on the foundations of the differential calculus
Arthur, Richard T. W.

Leibniz on the foundations of the differential calculus[electronic resource] /by Richard T. W. Arthur, David Rabouin. - Cham :Springer Nature Switzerland :2025. - xv, 287 p. :ill. (some col.), digital ;24 cm. - Frontiers in the history of science,2662-2572. - Frontiers in the history of science..

- Part I Interpretive Essay -- Chapter 1. Introduction -- Chapter 2. On the Metaphysics of the Continuum (1669-1676) -- Chapter 3. Mathematical Fictions -- Chapter 4. De Quadratura Arithmetica (DQA) -- Chapter 5. Infinitesimals and Existence after 1676 -- Chapter 6. Leibniz's Mature Justifications of the Calculus -- Chapter 7. Conclusion -- Part II A selection of translations of key texts -- Chapter 8: Texts for chapter 2, On the Metaphysics of the Continuum (1669-1676) -- Chapter 9: Texts for chapter 3, Mathematical Fictions -- Chapter 10: Texts for chapter 4, De Quadratura Arithmetica (DQA) -- Chapter 11: Texts for chapter 5, Infinitesimals and Existence after 1676 -- Chapter 12: Texts for chapter 6, Leibniz's Mature Justifications of the Calculus.

This monograph presents an interpretive essay on the foundations of Leibniz's calculus, accompanied by key texts in English translation. The essay examines Leibniz's evolving views on infinitesimals and infinite numbers, tracing their development from his early metaphysical ideas to his mature justifications of the calculus. Leibniz first proposed treating infinitesimals as fictions in the 1670s, in line with the mathematical practices of his time, where abstract concepts could be used in calculations without implying their existence. By 1676, he rejected their status as quantities, yet continued to refine his arguments on this topic into the 1690s. The essay concludes with an analysis of Leibniz's defense of his calculus in the early 18th century, showing how his later works naturally extended from earlier insights. This monograph will be a valuable resource for scholars and students of Leibniz and the history of science.

ISBN: 9783031772597

Standard No.: 10.1007/978-3-031-77259-7doiSubjects--Personal Names:

550314
Leibniz, Gottfried Wilhelm,
Freiherr von,1646-1716.Subjects--Topical Terms:

817990
Differential calculus
--Early works to 1800.

LC Class. No.: QA304

Dewey Class. No.: 515.33

Leibniz on the foundations of the differential calculus
LDR:02761nmm a2200337 a 4500 001 2409452
003 DE-He213
005 20250306115228.0
006 m d
007 cr nn 008maaau
008 260204s2025 sz s 0 eng d
020 $a 9783031772597 $q (electronic bk.)
020 $a 9783031772580 $q (paper)
024 7 $a 10.1007/978-3-031-77259-7 $2 doi
035 $a 978-3-031-77259-7
040 $a GP $c GP
041 0 $a eng
050 4 $a QA304
072 7 $a PBX $2 bicssc
072 7 $a MAT015000 $2 bisacsh
072 7 $a PBX $2 thema
082 0 4 $a 515.33 $2 23
090 $a QA304 $b .A789 2025
100 1 $a Arthur, Richard T. W. $3 3409324
245 1 0 $a Leibniz on the foundations of the differential calculus $h [electronic resource] / $c by Richard T. W. Arthur, David Rabouin.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Birkhäuser, $c 2025.
300 $a xv, 287 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Frontiers in the history of science, $x 2662-2572
505 0 $a - Part I Interpretive Essay -- Chapter 1. Introduction -- Chapter 2. On the Metaphysics of the Continuum (1669-1676) -- Chapter 3. Mathematical Fictions -- Chapter 4. De Quadratura Arithmetica (DQA) -- Chapter 5. Infinitesimals and Existence after 1676 -- Chapter 6. Leibniz's Mature Justifications of the Calculus -- Chapter 7. Conclusion -- Part II A selection of translations of key texts -- Chapter 8: Texts for chapter 2, On the Metaphysics of the Continuum (1669-1676) -- Chapter 9: Texts for chapter 3, Mathematical Fictions -- Chapter 10: Texts for chapter 4, De Quadratura Arithmetica (DQA) -- Chapter 11: Texts for chapter 5, Infinitesimals and Existence after 1676 -- Chapter 12: Texts for chapter 6, Leibniz's Mature Justifications of the Calculus.
520 $a This monograph presents an interpretive essay on the foundations of Leibniz's calculus, accompanied by key texts in English translation. The essay examines Leibniz's evolving views on infinitesimals and infinite numbers, tracing their development from his early metaphysical ideas to his mature justifications of the calculus. Leibniz first proposed treating infinitesimals as fictions in the 1670s, in line with the mathematical practices of his time, where abstract concepts could be used in calculations without implying their existence. By 1676, he rejected their status as quantities, yet continued to refine his arguments on this topic into the 1690s. The essay concludes with an analysis of Leibniz's defense of his calculus in the early 18th century, showing how his later works naturally extended from earlier insights. This monograph will be a valuable resource for scholars and students of Leibniz and the history of science.
600 1 0 $a Leibniz, Gottfried Wilhelm, $c Freiherr von, $d 1646-1716. $3 550314
650 0 $a Differential calculus $v Early works to 1800. $3 817990
650 1 4 $a History of Mathematical Sciences. $3 1530523
650 2 4 $a History of Science. $3 896972
650 2 4 $a Philosophy of Mathematics. $3 2192005
700 1 $a Rabouin, David. $3 2145724
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Frontiers in the history of science. $3 3453956
856 4 0 $u https://doi.org/10.1007/978-3-031-77259-7
950 $a Mathematics and Statistics (SpringerNature-11649)