Traditions of written mathematics and teaching of mathematics in Germany and France, 1650-1820. Genesis and differentiation of scientific disciplines in national contexts

该项目旨在分析1650年至1820年间书面数学的三个重要线索：（1）耶稣会作者用拉丁文编写的数学教科书（Cursus），（2）世纪用德文编写的数学教科书（Anfangsgründe），（3）世纪用法语编写的数学教科书（Cours）。该项目的一个分支涉及Anfangsgründe和Cours文本。作为第一步，将收集（参考书目）、分析和比较相关的文本。特别注意的问题是，民族传统在教学和教育中的影响是否以及在多大程度上可以得到体现。此外，它将分析这种根源是否可以追溯到教学和出版的数学在社会的耶稣在17世纪。这个项目的分支涉及耶稣会的数学教科书，重点是（1）耶稣会和耶稣会学院在数学教科书的制作和高等教育数学内容的国际化方面的基本作用。与此同时，它试图（2）分析和映射的重要性，耶稣会士的系统传播知识的早期现代科学和数学科学。沿着这条线索，并把这些活动纳入我们对自17世纪以来欧洲历史的特征性的知识化和科学化进程的历史理解中，是一项迄今为止在国际研究中只勾画出的任务。

The project aims at the analysis of three important threads of written mathematics between 1650 and 1820: (1) mathematical textbooks in Latin by Jesuit authors (Cursus), (2) mathematical textbooks written in German in the 18th century (Anfangsgründe), and (3) mathematical textbooks written in French in the 18th century (Cours).One branch of the project deals with the Anfangsgründe and Cours texts. As a first step the relevant texts are collected (bibliography), analysed and compared. Special attention is paid to the question of whether and to what extent the influence of national traditions in teaching and education can be demonstrated. Moreover it will be analysed whether such roots go back to the teaching and publishing of mathematics in the Society of Jesus in the 17th century. This aspect closely ties the two branches of the project together.The branch of the project dealing with the Jesuit mathematical textbooks concentrates (1) on the fundamental role of the Jesuits and the Jesuit colleges in the production of mathematical textbooks and in internationalising mathematical contents in higher education. At the same time it attempts (2) an analysis and mapping of the importance of the Jesuits for the systematic dissemination of knowledge from the early modern sciences and mathematical sciences. To follow this trace and to integrate these activities in our historical understanding of the processes of mathematization and scientization, which have characterised European history since the 17th century, is a task that has to this day only been sketched out in international research.