by Monica Blanco Abellan

Journal of Data Science, v.5, no.4, 597-612

Abstract

Comparative mathematical textbook analysis aims at the determination of differences among countries concerning the development and transmission of mathematics. On the other hand, textual statistics provides a means to quantify a text by applying multivariate statistical techniques. So far this statistical approach has not been applied to comparative mathematical textbook analysis yet. The object of this paper is to quantify and compare the style of a number of textbooks on differential calculus written in 18th century Europe. To that purpose two multivariate statistical techniques have been applied: 1) simple correspondence analysis and 2) hierarchical clustering analysis. The results of both analysis help to detect some interesting associations among the analysed textbooks.

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