Bakhshali manuscriptThe Bakhshali manuscript is an ancient Indian mathematical text written on birch bark that was found in 1881 in the village of Bakhshali, Mardan (near Peshawar in present-day Pakistan, historical Gandhara). It is perhaps "the oldest extant manuscript in Indian mathematics". For some portions a carbon-date was proposed of AD 224–383 while for other portions a carbon-date as late as AD 885–993 in a recent study, but the dating has been criticised by specialists on methodological grounds (Plofker et al.
Patna districtPatna district is one of the thirty-eight districts of Bihar state in eastern India. Patna, the capital of Bihar, is the district headquarters. The Patna district is a part of Patna division. The Patna district is divided into 6 Sub-divisions (Tehsils) i.e. Patna Sadar, Patna City, Barh, Masaurhi, Danapur and Paliganj. As of 2011, it is the most populous district of Bihar and fifteenth most populous district in India. The revenue district of Patna comes under the jurisdiction of a District Collector (District Magistrate).
Sanskrit prosodySanskrit prosody or Chandas refers to one of the six Vedangas, or limbs of Vedic studies. It is the study of poetic metres and verse in Sanskrit. This field of study was central to the composition of the Vedas, the scriptural canons of Hinduism, so central that some later Hindu and Buddhist texts refer to the Vedas as Chandas. The Chandas, as developed by the Vedic schools, were organized around seven major metres, and each had its own rhythm, movements and aesthetics.
Al-KhwarizmiMuḥammad ibn Mūsā al-Khwārizmī (محمد بن موسى الخوارزمي; 780-850), or al-Khwarizmi, was a Persian polymath from Khwarazm, who produced vastly influential works in mathematics, astronomy, and geography. Around 820 CE, he was appointed as the astronomer and head of the library of the House of Wisdom in Baghdad. Al-Khwarizmi's popularizing treatise on algebra (The Compendious Book on Calculation by Completion and Balancing, 813–833 CE) presented the first systematic solution of linear and quadratic equations.
SiddhantaSiddhānta (सिद्धान्त) is a Sanskrit term denoting the established and accepted view of any particular school within Indian philosophy; literally "settled opinion or doctrine, dogma, axiom, received or admitted truth; any fixed or established or canonical text-book on any subject" (from siddha, adj. mfn.- accomplished, fulfilled; that has attained the highest object, thoroughly skilled or versed in). This term is an established term within Hindu philosophy which denotes a specific line of development within a Hindu religious or philosophical tradition.
TantrasamgrahaTantrasamgraha, or Tantrasangraha, (literally, A Compilation of the System) is an important astronomical treatise written by Nilakantha Somayaji, an astronomer/mathematician belonging to the Kerala school of astronomy and mathematics. The treatise was completed in 1501 CE. It consists of 432 verses in Sanskrit divided into eight chapters. Tantrasamgraha had spawned a few commentaries: Tantrasamgraha-vyakhya of anonymous authorship and Yuktibhāṣā authored by Jyeshtadeva in about 1550 CE.