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年间书面数学的三条重要线索：(1)耶稣会作者的拉丁文数学教科书(Cursus)，(2)18世纪德语数学教科书(Anfangsgründe)，以及(3)18世纪法语数学教科书(CURS)。作为第一步，收集相关文本(参考书目)，分析和比较。特别注意的问题是，民族传统在教学和教育中的影响是否可以以及在多大程度上可以得到体现。此外，还将分析这种根源是否可以追溯到17世纪耶稣会数学的教学和出版。这方面将该项目的两个分支紧密地联系在一起。该项目涉及耶稣会数学教科书的分支集中于(1)耶稣会和耶稣会学院在编写数学教科书和将高等教育中的数学内容国际化方面的基本作用。同时，它试图(2)分析和绘制耶稣会对系统地传播早期现代科学和数学科学知识的重要性。追随这一轨迹，并将这些活动纳入我们对数学化和科学化进程的历史理解中，这是一项至今仅在国际研究中概述的任务，这些进程自17世纪以来一直是欧洲历史的特征。

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.