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Ganita Shastra (गणितशास्त्रम्) (view source)
Revision as of 00:31, 25 March 2020
, 00:31, 25 March 2020→Modern Indian Mathematicians: added content and references
# '''Bhaskara II (1114 - 1200 A.D.)''' - Lilavati, Bijaganita and Siddhantasiromani are the famous works of Bhaskaracharya. He authored two other works Vasanabhaasya, his own commentary of the Siddhantasiromani, and Karanakutuhala, a treatise on planetary motion. The Lilavati which is based on Brahmagupta's Brahmasphutasiddhanta, Sridhara's Patiganita, and Mahasiddhanta of Aryabhata II exhibits a profound system of arithmetic and also contains many useful propositions in geometry and arithmetic. The full solution of the equation and of its more general form ax²+bx+c = y² was given by Bhaskaracharya II. He was acquainted with the principle of infinitesimal calculus and is often given credit for originating the idea of integration long before Newton and Leibniz.
# '''Bhaskara II (1114 - 1200 A.D.)''' - Lilavati, Bijaganita and Siddhantasiromani are the famous works of Bhaskaracharya. He authored two other works Vasanabhaasya, his own commentary of the Siddhantasiromani, and Karanakutuhala, a treatise on planetary motion. The Lilavati which is based on Brahmagupta's Brahmasphutasiddhanta, Sridhara's Patiganita, and Mahasiddhanta of Aryabhata II exhibits a profound system of arithmetic and also contains many useful propositions in geometry and arithmetic. The full solution of the equation and of its more general form ax²+bx+c = y² was given by Bhaskaracharya II. He was acquainted with the principle of infinitesimal calculus and is often given credit for originating the idea of integration long before Newton and Leibniz.
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The Kerala school of mathematics in the more recent centuries has been the seat of learning and has produced great mathematical works.
The Kerala school of mathematics developed from fourteenth century onwards. Kerala has been seat of learning and has produced great mathematical works building an unbroken tradition for about five hundred years. The mathematicians of Kerala were staunch followers of Aryabhata I. The activities of the scholars of this period who attained an independent distinction are still unpublished and are yet to be studied.<ref name=":2" />
# '''Narayana Pandita (1356 A.D.)''' - Ganitakaumudi, a mathematical treatise and Bijaganitavatamsa, a work on algebra. Known as Narayana Daivajna, he was solely a mathematician.
# '''Madhava (1400 A.D.)''' - Venvaroha, a well known astronomical treatise. He is regarded as the authority on spherical astronomy and mathematics and is often referred to by later writers as a golavid (expert on spherical mathematics).
# '''Paramesvara (1430 A.D.)''' - author of many commentaries on all the popular classical works on astronomy and mathematics besides some original works on astronomy such as Drgganita and Goladipika. He was the founder of the drgganita system of astronomy in Kerala though mainly an astronomer was held with respect in the field of mathematics.
# '''Nilakantha Somasutvan (1443 - 1543 A.D.)''' - Aryabhattiyabhashya and Tantrasamgraha contribute much to mathematics. He is the author of many other astronomical works namely Golasara, Chandrachhayaganita, Chandrachhayaganita-tika.
# '''Jnanaraja (1503 A.D.)''' - Siddhantasundarabija and Siddhatasundara, both of which remain unpublished.
# '''Chitrabhanu (1475 - 1550 A.D.)''' - Karnaamrta, is a work on mathematics.
== Commentaries in Indian Mathematics ==
== Commentaries in Indian Mathematics ==