Aryabhata or Aryabhata I was an Indian mathematician and astronomer of the classical age of Indian mathematics and Indian astronomy. He flourished in the Gupta Era and produced works such as the Aryabhatiya and the Arya-siddhanta.
Bhāskara II, also known as Bhāskarāchārya, and as Bhāskara II to avoid confusion with Bhāskara I, was an Indian mathematician and astronomer. From verses, in his main work, Siddhānta Shiromani (सिद्धांतशिरोमणी), it can be inferred that he was born in 1114 in Vijjadavida (Vijjalavida) and living in the Sahyadri mountain ranges of Western Ghats, believed to be the town of Patan in Chalisgaon, located in present-day Khandesh region of Maharashtra by scholars. He is the only ancient mathematician who has been immortalized on a monument. In a temple in Maharashtra, an inscription supposedly created by his grandson Changadeva, lists Bhaskaracharya's ancestral lineage for several generations before him as well as two generations after him. Colebrooke who was the first European to translate (1817) Bhaskaracharya II's mathematical classics refers to the family as Maharashtrian Brahmins residing on the banks of the Godavari.
Keļallur Nilakantha Somayaji, also referred to as Keļallur Comatiri, was a major mathematician and astronomer of the Kerala school of astronomy and mathematics. One of his most influential works was the comprehensive astronomical treatise Tantrasamgraha completed in 1501. He had also composed an elaborate commentary on Aryabhatiya called the Aryabhatiya Bhasya. In this Bhasya, Nilakantha had discussed infinite series expansions of trigonometric functions and problems of algebra and spherical geometry. Grahapariksakrama is a manual on making observations in astronomy based on instruments of the time. Known popularly as Kelallur Chomaathiri, he is considered an equal to Vatasseri Parameshwaran Nambudiri.
Bhāskara was a 7th-century Indian mathematician and astronomer who was the first to write numbers in the Hindu–Arabic decimal system with a circle for the zero, and who gave a unique and remarkable rational approximation of the sine function in his commentary on Aryabhata's work. This commentary, Āryabhaṭīyabhāṣya, written in 629 CE, is among the oldest known prose works in Sanskrit on mathematics and astronomy. He also wrote two astronomical works in the line of Aryabhata's school: the Mahābhāskarīya and the Laghubhāskarīya.
Vatasseri Parameshvara Nambudiri was a major Indian mathematician and astronomer of the Kerala school of astronomy and mathematics founded by Madhava of Sangamagrama. He was also an astrologer. Parameshvara was a proponent of observational astronomy in medieval India and he himself had made a series of eclipse observations to verify the accuracy of the computational methods then in use. Based on his eclipse observations, Parameshvara proposed several corrections to the astronomical parameters which had been in use since the times of Aryabhata. The computational scheme based on the revised set of parameters has come to be known as the Drgganita or Drig system. Parameshvara was also a prolific writer on matters relating to astronomy. At least 25 manuscripts have been identified as being authored by Parameshvara.
Munishvara or Munīśvara Viśvarūpa was an Indian mathematician who wrote several commentaries including one on astronomy Siddhanta Sarvabhauma (1646) which included descriptions of astronomical instruments such as the pratoda yantra. Another commentary was Lilavativivruti. Very little is known about his other than that he came from a family of astronomers including his father Ranganatha who wrote a commentary called Gụ̄hārthaprakaśa/Gūḍhārthaprakāśikā, a commentary on the Suryasiddhanta. His grandfather Ballala had his origins in Dadhigrama in Vidharba and had moved to Benares and several sons wrote commentaries on astronomy and mathematics. Munisvara's Siddhantasarvabhauma had the patronage of Shah Jahan like his paternal uncle Krishna Daivagna. He was opposed to fellow mathematician Kamalakara whose brother also wrote a critique of Munisvara's bhangi-vibhangi method for planetary motions. He was also opposed to the adoption of some mathematical ideas in spherical trigonometry from Arab scholars. An edition of his Siddhanta Sarvabhauma was published from the Princess of Wales Sarasvati Bhavana Granthamala edited by Gopinath Kaviraj. Munisvara's book had twelve chapters in two parts. The second part had notes on astronomical instruments. He was a follower of Bhaskara II.
Kamalakara was an Indian astronomer and mathematician, came from a learned family of scholars from Golagrāma, a village situated in Maharashtra State near Partha-puri (Pathari) on the northern bank of the river Godāvarī. His father was Nrsimha who was born in 1586. Two of Kamalakara's three brothers were also astronomer and mathematicians: Divakara, who was the eldest of the brothers born in 1606, and Ranganatha who was youngest. Kamalākara learnt astronomy from his elder brother Divākara, who compiled five works on astronomy. His family later moved to Vārāṇasī.
Lalla was an Indian mathematician, astronomer, and astrologer who belonged to a family of astronomers. Lalla was the son of Trivikrama Bhatta and the grandson of Śâmba. He lived in central India, possibly in the Lāṭa region in modern south Gujarat. Lalla was known as being one of the leading Indian astronomers of the eighth century. Only two of his works are currently thought to be extant.
Indian mathematics emerged in the Indian subcontinent from 1200 BCE until the end of the 18th century. In the classical period of Indian mathematics, important contributions were made by scholars like Aryabhata, Brahmagupta, Bhaskara II, and Varāhamihira. The decimal number system in use today was first recorded in Indian mathematics. Indian mathematicians made early contributions to the study of the concept of zero as a number, negative numbers, arithmetic, and algebra. In addition, trigonometry was further advanced in India, and, in particular, the modern definitions of sine and cosine were developed there. These mathematical concepts were transmitted to the Middle East, China, and Europe and led to further developments that now form the foundations of many areas of mathematics.
Shankara Variyar was an astronomer-mathematician of the Kerala school of astronomy and mathematics. His family were employed as temple-assistants in the temple at Tṛkkuṭaveli near modern Ottapalam.
Veṇvāroha is a work in Sanskrit composed by Mādhava of Sangamagrāma, the founder of the Kerala school of astronomy and mathematics. It is a work in 74 verses describing methods for the computation of the true positions of the Moon at intervals of about half an hour for various days in an anomalistic cycle. This work is an elaboration of an earlier and shorter work of Mādhava himself titled Sphutacandrāpti. Veṇvāroha is the most popular astronomical work of Mādhava.
Jambusāgaranagara is a place or region in India where a school of astronomers and mathematicians flourished during the fifteenth to eighteenth centuries CE. The location of this place has not been definitely identified.
Dadhigrama was a village on the banks of Payosni river in Vidarbha where a school of mathematics and astronomy flourished during the 14th to 19th centuries CE.
Golagrama is a village or region in India associated with several medieval Indian astronomers, astrologers and mathematicians. Presently there is no place bearing the name Golagrama anywhere in India. It is known that Golagrama was situated in Maharashtra State on the northern banks of river Godavari, was near Partha-puri (Pathari) in Maharashtra and was about 320 km away from Amravati town in Maharashtra. It is sometimes identified as a place named Golgam at latitude 18° N longitude 78° E. The name Golagrama considered as a word in Sanskrit could literally be translated as sphere-village.
Kriyakramakari (Kriyā-kramakarī) is an elaborate commentary in Sanskrit written by Sankara Variar and Narayana, two astronomer-mathematicians belonging to the Kerala school of astronomy and mathematics, on Bhaskara II's well-known textbook on mathematics Lilavati. Kriyakramakari, along with Yuktibhasa of Jyeshthadeva, is one of the main sources of information about the work and contributions of Sangamagrama Madhava, the founder of Kerala school of astronomy and mathematics. Also the quotations given in this treatise throw much light on the contributions of several mathematicians and astronomers who had flourished in an earlier era. There are several quotations ascribed to Govindasvami a 9th-century astronomer from Kerala.
Jataka Parijata is an Indian astrological text that is ranked alongside Bṛhat Parāśara Horāśāstra of Parāśara Muni, Bṛhat Jātaka of Varāhamihira and Phaladīpikāḥ of Mantreśvara. It is regularly studied as a textbook and a reliable reference-book, and is one of the few books that gives time on the nativity, the other two being Horā Ratnaṃ and Jātaka Bharaṇaṃ.
A History of the Kerala School of Hindu Astronomy is the first definitive book giving a comprehensive description of the contribution of Kerala to astronomy and mathematics. The book was authored by K. V. Sarma who was a Reader in Sanskrit at Vishveshvaranand Institute of Sanskrit and Indological Studies, Panjab University, Hoshiarpur, at the time of publication of the book (1972). The book, among other things, contains details of the lives and works of about 80 astronomers and mathematicians belonging to the Kerala School. It has also identified 752 works belonging to the Kerala school.
Gaṇeśa Daivajna was a sixteenth century astronomer, astrologer, and mathematician from western India who wrote books on methods to predict eclipses, planetary conjunctions, positions, and make calculations for calendars. His most major work was the Grahalaghava which was included ephemeris and calendar calculations.
Karana-kutuhala is a 1183 CE Sanskrit-language book on jyotisha by Bhaskara II, a mathematician-astronomer from present-day India.
Keshava was an astrologer and astronomer (jyotishi) from Nandigrama in present-day western India.
