Download The Siddhāntasundara of Jñānarāja: An English Translation by Toke Lindegaard Knudsen PDF

By Toke Lindegaard Knudsen

A treasure for an individual drawn to early smooth India and the heritage of arithmetic, this primary English translation of the Siddhāntasundara unearths the attention-grabbing paintings of the scholar-astronomer Jñānarāja (circa 1500 C.E.). Toke Lindegaard Knudsen starts with an advent to the traditions of historical Hindu astronomy and describes what's recognized of Jñānarāja’s existence and relatives. He interprets the Sanskrit verses into English and provides specialist observation at the sort and substance of Jñānarāja's treatise.

The Siddhāntasundara encompasses a finished exposition of the procedure of Indian astronomy, together with the right way to compute planetary positions and eclipses. It additionally explores deep, probing questions about the workings of the universe and sacred Hindu traditions. In a philosophical dialogue, the treatise seeks a synthesis among the cosmological version utilized by the Indian astronomical culture and the cosmology of a category of texts sacred in Hinduism. In his discourse, which incorporates a dialogue of the path of down and adhesive antipodeans, Jñānarāja rejects convinced ideas from the astronomical culture and reinterprets ideas from the sacred texts. He additionally constructs a posh poem at the seasons, many verses of that have layers of which means, one describing a season, the opposite a god's actions in that season.

The Siddhāntasundarais the final significant treatise of Indian astronomy and cosmology to obtain critical scholarly consciousness, Knudsen’s cautious attempt unveils the 500-year-old Sanskrit verses and indicates the smart quirkiness of Jñānarāja's writing kind, his willing use of arithmetic, and his refined philosophical arguments.

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Extra info for The Siddhāntasundara of Jñānarāja: An English Translation with Commentary

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A fifteenth-century Muslim√mathematician from Granada, recommends iterr once when r > a, yielding the ating the approximation a2 + r = a + 2·a √ (r/(2·a))2 r 2 new approximation a + r = a + 2·a − 2·(a+r/(2·a)) (see Berggren 2002, 34). 9. The passage is the topic of Knudsen 2009. 102 Using weight as his argument, J˜ idea of crystalline spheres. i’s commentary on the verse is not very helpful. i identifies their source(s), it is clear that the idea expressed in the verse is derived from a foreign tradition.

It¯ adhy¯ aya contains 10. 2, contains 11, not 10, sections. it¯ adhy¯ aya. In these manuscripts, the verses 14–23 from section 8 of the grahagan. it¯ adhy¯ aya are repeated between sections 10 and 11, thus forming an independent section. However, in the present translation, the verses are kept in section 8 and not repeated later. 3 J˜ n¯ anar¯ aja’s sources Right at the beginning of the Siddh¯ antasundara, J˜ n¯anar¯aja explicitly gives his main source, as well as other treatises considered authoritative by him:74 The topmost knowledge concerning the nature of the motion of the planets and the stars that was related to N¯ arada by the four-faced [Brahm¯a] was written down in its entirety by the sage bearing the ´akalya.

Introduction 19 sured that it (and other of Bh¯askara II’s works) became normative in the period following him. In fact, after the composition of the Siddh¯ anta´siroman. 62 Bh¯ askara II’s own commentary on the Siddh¯ anta´siroman. ya, “Demonstration Commentary,” and it provides demonstrations for the mathematical algorithms and formulae found in the main text. Types of astronomical treatises As classified by the tradition, different types of astronomical treatises were composed in ancient and medieval India.

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