Brahmagupta was the most prominent Hindu mathematician of the seventh century. He lived and worked in the astronomical center of Ujjain, in central India. In 628, he wrote his Brahma-sphuta-sidd'hanta("the revised system of Brahma"), a work on astronomy of twenty-one chapters, of which Chapters 12 and 18 deal with mathematics. Mahavira, who floufished about 850, was from Mysore in southern India and Brahmagrpta's city of Ujjain. His work, Siddhanta Siromani ("diadem of an astronomical system"), was written in 1150 and shows little advancement over the work of Brahmagupta of more than 500 years earlier. The important mathematical parts of Bhaskara's workare the Liavati ("the beautiful") and Vijagania ("seed arithmetic"), which deal with arithmetic and algebra, respectively. The mathematical parts of Brahmagupta's and Bhaskara's works were translated into English in 1817 by H.T.Colebrooke. the Surya Siddhanta was translated by E.Burgess in 1860, and Mahavira's work was published in 1912 by M.Rangacarya.
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