Addresses Delivered Before the California Teachers Association

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D. , during which time mathematics was still cultivated, though feebly, in the form of commentary or perfunctory study, and without originality or fruitful result ; and it was more than a century and a half before the final catastrophe — the capture of Alexandria and the burning of the great library by the Mohammedans — that there appeared in Elementary Mathematics. 39 India a work on algebra and trigonometry by the astronomer Aryabhatta, of which no Greek mathema- tician of the earlier centuri...es would have been capable. From this time until the revival of learning in western Europe the Indians are the true discoverers in mathe- matical science. To what extent they were indebted to the Greeks for the raw materials out of which they constructed their algebra is not known, nor is it of consequence, for since the Greeks never succeeded in constructing an organic system of algebra, the indebt- edness could, in any event, have been but small.
To the Indians, then, is due the credit of first creating algebra as a science.


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