Although there is much material on the history of sixteenth century arithmetic, comparatively little has been written on the teaching of the subject at that time, and less upon the educational significance of that teaching from the point of view of the present. This dissertation is the result of a research into the arithmetic of the fifteenth and sixteenth centuries for the purpose of showing its bearing upon the present teaching of the subject. The exact period chosen is that from 1478, the date of the first printed arithmetic, to 1600, because between these dates arithmetic took on the form which it retained for three centuries, besides setting forth for the first time its educational functions. So little was written at that time on the educational values of studies that it is necessary to examine with unusual care the treatises and text-books on arithmetic in order to determine the principles and aims which guided their authors, in creating them. No general history of mathematics can be of use in a research of this kind, unless it contains extensive extracts from the original sources, and there is only one such work, namely, that of Cantor. But, if one were to depend upon Cantor for a treatment of sixteenth century arithmetic, he would obtain an exhaustive knowledge of the leading writers only, whereas the great mass of minor works is necessary to supply a large portion of the data needed to determine the educational significance of the subject. No one has expressed more clearly than DeM organ the relative value of major and minor works for the purpose of interpreting history. Unfortunately, history must of necessity be written mostly upon those works 1C antjor, M., Vorlesungen iiber Geschichte ier Mathematik, 3vol. (L eipsic, ded., 1900). DeM organ, A., Arithmetical Books, p. vi (L ondon, 1847).
(Typographical errors above are due to OCR software and don't occur in the book.)
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Originally published in 1906. This volume from the Cornell University Library's print collections was scanned on an APT BookScan and converted to JPG 2000 format by Kirtas Technologies. All titles scanned cover to cover and pages may include marks notations and other marginalia present in the original volume.
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