Abstract
Comparative mathematical textbook analysis aims at the de termination 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 math ematical textbook analysis yet. The object of this paper is to quantify and compare the style of a number of textbooks on differential calculus writ ten in 18th century Europe. To that purpose two multivariate statistical techniques have been applied: 1) simple correspondence analysis and 2) hi erarchical clustering analysis. The results of both analysis help to detect some interesting associations among the analysed textbooks.
Highlights
Schubring (1987 and 1996) supports the comparative textbook analysis as a means to determine the differences among countries, when speaking of style, meaning and epistemology in mathematics
I elaborated my PhD thesis, which aimed at analysing the mathematical development of calculus through a number of textbooks on differential calculus written in 18th century Europe, namely, in France, Germany, Italy and Great Britain
In this paper multivariate statistical techniques are used for the sake of comparative textbook analysis
Summary
Schubring (1987 and 1996) supports the comparative textbook analysis as a means to determine the differences among countries, when speaking of style, meaning and epistemology in mathematics.
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