東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Pure and Applied: Christopher Claviu...

Price, Audrey Maria.

FindBook

Google Book

Amazon

博客來

Pure and Applied: Christopher Clavius's Unifying Approach to Jesuit Mathematics Pedagogy.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Pure and Applied: Christopher Clavius's Unifying Approach to Jesuit Mathematics Pedagogy./
作者:	Price, Audrey Maria.
出版者:	Ann Arbor : ProQuest Dissertations & Theses, : 2017,
面頁冊數:	521 p.
附註:	Source: Dissertation Abstracts International, Volume: 79-04(E), Section: A.
Contained By:	Dissertation Abstracts International79-04A(E).
標題:	History. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10633544
ISBN:	9780355546293

Pure and Applied: Christopher Clavius's Unifying Approach to Jesuit Mathematics Pedagogy.
Price, Audrey Maria.

Pure and Applied: Christopher Clavius's Unifying Approach to Jesuit Mathematics Pedagogy. - Ann Arbor : ProQuest Dissertations & Theses, 2017 - 521 p.

Source: Dissertation Abstracts International, Volume: 79-04(E), Section: A.

Thesis (Ph.D.)--University of California, San Diego, 2017.

This dissertation examines the pedagogical project of Christopher Clavius (1538--1612) as a key step in the development of modern mathematics. In it, I show that Clavius united two contemporary approaches to mathematics: one that saw the field as an abstract way of discovering universal truths, and one that saw the field as an art, that is a tool for practical purposes. To do so, he combined pure and applied mathematics throughout his textbooks. The union of mathematics as a science and mathematics as an art was motivated by the needs of the nascent Jesuit school system in which Clavius was the professor of mathematics at the flagship school, the Collegio Romano. This unification permeated Clavius's work, leading him to write textbooks on practical mathematics in addition to his commentaries on pure mathematics and theoretical astronomy. Moreover, Clavius combined the different aspects of mathematics within his individual textbooks. This is apparent in his 1574 commentary on Euclid's Elements, a text that formed the foundation for Jesuit mathematics education. In this textbook, Clavius's changes to and commentary on the Euclidean text along with his diagrams show the pure abstract forms of mathematics to have potential applications in both sciences, like theoretical astronomy, and arts, like cartography. Through a comparison of Clavius's commentary on Euclid to two other closely contemporary commentaries on the same text, one by Federico Commandino (1509--1575) and the other by Sir Henry Billingsley (d. 1606), I show that Clavius's combination of the abstract and physical facets of mathematics created an image of mathematics on par with philosophy as well as a versatile tool for philosophers and artisans alike. This vision of mathematics combines those found in Commandino's and Billingsley's commentaries, which respectively emphasize mathematics as a science and mathematics as an art. In so doing, Clavius provided his readers with a realist approach to mathematics, paving the way for increasingly more mathematical descriptions of the world that emerged during the Scientific Revolution and that relied on progressive advances in abstract mathematics.

ISBN: 9780355546293Subjects--Topical Terms:

516518
History.

Pure and Applied: Christopher Clavius's Unifying Approach to Jesuit Mathematics Pedagogy.
LDR:03201nmm a2200325 4500 001 2154976
005 20180426101949.5
008 190424s2017 ||||||||||||||||| ||eng d
020 $a 9780355546293
035 $a (MiAaPQ)AAI10633544
035 $a (MiAaPQ)ucsd:16922
035 $a AAI10633544
040 $a MiAaPQ $c MiAaPQ
100 1 $a Price, Audrey Maria. $3 3342721
245 1 0 $a Pure and Applied: Christopher Clavius's Unifying Approach to Jesuit Mathematics Pedagogy.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2017
300 $a 521 p.
500 $a Source: Dissertation Abstracts International, Volume: 79-04(E), Section: A.
500 $a Adviser: Robert S. Westman.
502 $a Thesis (Ph.D.)--University of California, San Diego, 2017.
520 $a This dissertation examines the pedagogical project of Christopher Clavius (1538--1612) as a key step in the development of modern mathematics. In it, I show that Clavius united two contemporary approaches to mathematics: one that saw the field as an abstract way of discovering universal truths, and one that saw the field as an art, that is a tool for practical purposes. To do so, he combined pure and applied mathematics throughout his textbooks. The union of mathematics as a science and mathematics as an art was motivated by the needs of the nascent Jesuit school system in which Clavius was the professor of mathematics at the flagship school, the Collegio Romano. This unification permeated Clavius's work, leading him to write textbooks on practical mathematics in addition to his commentaries on pure mathematics and theoretical astronomy. Moreover, Clavius combined the different aspects of mathematics within his individual textbooks. This is apparent in his 1574 commentary on Euclid's Elements, a text that formed the foundation for Jesuit mathematics education. In this textbook, Clavius's changes to and commentary on the Euclidean text along with his diagrams show the pure abstract forms of mathematics to have potential applications in both sciences, like theoretical astronomy, and arts, like cartography. Through a comparison of Clavius's commentary on Euclid to two other closely contemporary commentaries on the same text, one by Federico Commandino (1509--1575) and the other by Sir Henry Billingsley (d. 1606), I show that Clavius's combination of the abstract and physical facets of mathematics created an image of mathematics on par with philosophy as well as a versatile tool for philosophers and artisans alike. This vision of mathematics combines those found in Commandino's and Billingsley's commentaries, which respectively emphasize mathematics as a science and mathematics as an art. In so doing, Clavius provided his readers with a realist approach to mathematics, paving the way for increasingly more mathematical descriptions of the world that emerged during the Scientific Revolution and that relied on progressive advances in abstract mathematics.
590 $a School code: 0033.
650 4 $a History. $3 516518
650 4 $a Education history. $3 3171959
650 4 $a Mathematics education. $3 641129
650 4 $a Pedagogy. $3 2122828
690 $a 0578
690 $a 0520
690 $a 0280
690 $a 0456
710 2 $a University of California, San Diego. $b History (Science Studies). $3 3179702
773 0 $t Dissertation Abstracts International $g 79-04A(E).
790 $a 0033
791 $a Ph.D.
792 $a 2017
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10633544