Knowra Bhāskara II Bhāskara II Bhāskara II was a 12th-century Indian mathematician and astronomer whose works, especially Siddhānta Śiromaṇi , advanced mathematical astronomy and algebra.
Siddhānta Śiromaṇi : A Sanskrit treatise by Bhāskara II comprising works on arithmetic, algebra, planetary mathematics, and astronomy. This four-part work is the clearest entry point to his mathematical and astronomical writing.
Chakravala method : An iterative Indian method for solving certain indeterminate quadratic equations. Bhāskara II describes a powerful procedure for equations of this kind.
Ujjain : A city in central India that became a major center of astronomy and mathematics. Bhāskara II is associated with Ujjain’s astronomical tradition.
Indian mathematics : Mathematical work produced in the Indian subcontinent across historical periods. His treatises became prominent works within this broad mathematical history.
Lilavati : A Sanskrit work on arithmetic by Bhāskara II, presented through problems and poetic verses. Its problems show how he taught calculation through memorable, practical examples.
Pell's equation : A Diophantine equation of the form x² − Dy² = 1, with integer solutions sought for fixed nonsquare D. Problems equivalent to this equation illuminate the number-theoretic work in Bijaganita .
Brahmagupta : A seventh-century Indian mathematician and astronomer who wrote the Brahmasphuṭasiddhānta . His mathematical astronomy supplied an influential earlier framework for Bhāskara II.
History of algebra : The development of symbolic and equation-based methods for solving mathematical problems. His algebraic procedures form a significant chapter in algebra’s global history.
Bijaganita : Bhāskara II’s treatise on algebra, including equations, surds, and indeterminate problems. It develops the algebraic methods that form one part of Siddhānta Śiromaṇi .
Indeterminate equation : An equation with multiple integer solutions, often studied through Diophantine methods. His algebra includes methods for finding integer solutions to such equations.
Show all 20