Research on Standardization of Mathematical Terms

本研究项目的目的是双重的;本文首先调查了数学术语在物理学、工程学等各个科学领域中的使用情况，然后制定了数学术语的标准，为了给作者编写与数学有关的科学领域的教科书提供一切可能的方便。第一版的《数学科学术语》于1954年出版，获得了广泛的流通。另一方面，在这40年中，数学也在不断地发展，而且在各个科学领域都有着良好的发展和影响。根据现代数学术语的用法重新整理数学术语，并从数学、物理、本研究课题的研究小组在日本数学学会的广泛合作下，在数学教育学会和日本数学教育学会的几位成员的努力下，日本工业与应用数学学会我们已经完成了调查，并获得了数学术语的列表。该列表包含10，000多个术语，由两个词典组成：日语-英语和英语-日语。我们将结果作为印刷品和数据库公开。《数学术语》的最终版本将在各领域科学家的研究之后出版。

The Aim of this research project is double ; we investigate firstly manners of usage of Mathematical terms in various scientific fields such as Physics, Engineering and so on, and then make a standard of Mathematical terms, for the purpose of providing every convenience possible for authors writeing down textbooks in scientific fields related to Mathematics.The first edition of the Scientific terms on Mathematics was published 1954 and has been obtaining wide circulation. On the othor hand, during this 40 years, Mathematics are advancing themselves and moreover developing favorably and coming into force in various Scientific fields. Now it is absolutely indispensable to rearrange Mathematical tems according to their modern usage and glean new ons from various fields, such as Mathematics, Physics, Engineering and so on.The group of the investigators of this research project has been concentrating and studying on this subject under the sweeping cooperation of the Mathematical Society of Japan and with the devotion fo several menbers of the Society of Mathematical Education and of the Japan Society for Industrial and Applied Mathematics. We have completed the investigation and obtained the list of Mathematical terms. The list contains more than 10,000 terms and consists of the two lexicographic dictionaries : Japanese-English and English-Japanese. We make our results public as a printed matter and a database. The final version of Mathematical terms will be published after investigation by scientists of various fields.