The Siddhāntasundara of Jñānarāja: An English Translation with Commentary

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JHU Press, Oct 20, 2014 - Mathematics - 376 pages

The first English translation of this major work of classical Indian astronomy and mathematics.

A treasure for anyone interested in early modern India and the history of mathematics, this first English translation of the Siddhantasundara reveals the fascinating work of the scholar-astronomer Jñanaraja (circa 1500 C.E.). Toke Lindegaard Knudsen begins with an introduction to the traditions of ancient Hindu astronomy and describes what is known of Jñanaraja’s life and family. He translates the Sanskrit verses into English and offers expert commentary on the style and substance of Jñanaraja's treatise.

The Siddhantasundara contains a comprehensive exposition of the system of Indian astronomy, including how to compute planetary positions and eclipses. It also explores deep, probing questions about the workings of the universe and sacred Hindu traditions. In a philosophical discussion, the treatise seeks a synthesis between the cosmological model used by the Indian astronomical tradition and the cosmology of a class of texts sacred in Hinduism. In his discourse, which includes a discussion of the direction of down and adhesive antipodeans, Jñanaraja rejects certain principles from the astronomical tradition and reinterprets principles from the sacred texts. He also constructs a complex poem on the seasons, many verses of which have two layers of meaning, one describing a season, the other a god's activities in that season.

The Siddhantasundara is the last major treatise of Indian astronomy and cosmology to receive serious scholarly attention, Knudsen’s careful effort unveils the 500-year-old Sanskrit verses and shows the clever quirkiness of Jñanaraja's writing style, his keen use of mathematics, and his subtle philosophical arguments.

 

Contents

Introduction
1
Section 1 Lexicon of the Worlds
43
Section 2 Rationale of Planetary Motion
71
Section 3 Method of Projections
82
Section 4 Description of the Great Circles
92
Section 5 Astronomical Instruments
98
Section 6 Description of the Seasons
104
Section 1 Mean Motion
121
Section 5 Lunar Eclipses
246
Section 6 Solar Eclipses
267
Section 7 Rising and Setting of Planets
293
Section 8 Shadows of Stars Constellations Polestars and So On
302
Astronomy Section 9 Elevation of the Moons Horns
310
Astronomy Section 10 Conjunctions of Planets
317
Astronomy Section 11 Occurrence of P257tas
321
References
329

Section 2 True Motion
172
Section 3 Three Questions on Diurnal Motion
216
Section 4 Occurrence of Eclipses
240

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About the author (2014)

Toke Lindegaard Knudsen is an assistant professor of mathematics at State University of New York at Oneonta.

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