Black Holes by DeWitt C., DeWitt, B.S. (eds.) PDF

By DeWitt C., DeWitt, B.S. (eds.)

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Bh¯askara often quotes the M¯ Although the structure of his commentary has nothing to do with Pata˜ njali’s, this work seems to have the status of a model. Thus the principal objective of Bh¯ askara’s commentary is to give an interpretation ¯ of Aryabhat a’s verses. 2 Defending the treatise Bh¯ askara’s commentary is, in the general part of each verse gloss, usually structured as a dialog, where objections are raised and replied to. Most of the staged objections seemingly argue in favor of Bh¯ askara’s reading and interpretation of the verses.

Xl, we will see other reading techniques used by Bh¯ askara. ita in terms of arithmetics and geometry. etram a’| (. . itam aram . r¯ . dviddh¯ . ah. r¯ a´si. , ´sreddh¯ıcch¯ ay¯ adayah. ite| tad evam a´sya´sritam . r¯ . am . v¯ . etra)’. (. . ) mathematics is of two kinds: mathematics of fields and mathematics of quantities. a), are mentioned in the mathematics of quantities; series, shadows, and so on, are mentioned in the mathematics of fields. Therefore, in this way, mathematics as a whole rests upon the mathematics of quantities or the mathematics of fields.

How peculiar was Bh¯ askara’s commentary in the Indian context? Was it a typical mathematical commentary? Was it something totally new? Did it influence later mathematical commentaries? In what way did it belong to the larger genre of VIIth century Sanskrit commentaries? I hope that further research will unfold some answers to these questions. On the Translation This translation aims at giving access to a mathematical commentary in Sanskrit, to those unfamiliar with this language. I have tried to make as literal a translation as possible in order to point out the way reasonings have been expressed.

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Black Holes by DeWitt C., DeWitt, B.S. (eds.)

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