सिद्धान्तशिरोमणि: गणिताध्याय (भास्कराचार्य - ग्रहगणित, मध्यमाधिकार व स्पष्टाधिकार सटीक)

FOREWORD Bhāskarācārya, the Second (c. 1100 A.D.) was one of the greatest mathematicians and astronomers of the World. He anticipated modern theory on the convention of signs (minus × minus = plus) and KEPLER’S method of determining the surface and the volume of a sphere. Six hundred years before the calculus of LEIBNITZ and NEWTON, Bhāskara worked at the differential coefficient. He raised and solved the problem — 67 x² + 1 = y² —a problem which FERMAT resolved after 500 years. The credit goes to Bhāskarācārya for having delineated the image of Jyotiṣa in its proper contours and graces. The Siddhāntaśiromaṇi is often said to be the magnum opus of Bhāskarācārya. This monumental treatise consists of four parts : (1) Līlāvatī (arithmetic), (2) bījagaṇita- (algebra), (3) Golādhyāya- (Trigonometry including spherical trigonometry) and (4) Grahagaṇita- (Planetary motion). This work was edited with the Vāsanābhāṣya- of the author by Bapu Deva SASTRI. Muralidhar JHA brought out two commentaries —the Vāsanāvārttika- of Nṛsiṁha (1621 A.D.) and the Marīci of Munīśvara (1635 A.D.) on the first Chapter of the Gaṇitādhyāya (1917). Girija Prasad DVIVEDI’s commentaries in Sanskrit and Hindi (volumes I & II) appeared in 1911 and 1926.