Aryabhata or Aryabhata I was the first of the major mathematician-astronomers from the classical age of Indian mathematics and Indian astronomy. His works include the Āryabhaṭīya and the Arya-siddhanta.
Bhāskara II, also known as Bhāskarāchārya, was an Indian polymath, mathematician, astronomer and engineer. From verses in his main work, Siddhāṁta Śiromaṇī, it can be inferred that he was born in 1114 in Vijjadavida (Vijjalavida) and living in the Satpuda mountain ranges of Western Ghats, believed to be the town of Patana in Chalisgaon, located in present-day Khandesh region of Maharashtra by scholars. 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. Henry 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 Nīlakaṇṭha Somayāji, 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.
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.
Śrīpati, also transliterated as Shri-pati, was an Indian astronomer, astrologer and mathematician. His major works include Dhīkotida-karana (1039), a work of twenty verses on solar and lunar eclipses; Dhruva-mānasa, a work of 105 verses on calculating planetary longitudes, eclipses and planetary transits; Siddhānta-śekhara a major work on astronomy in 19 chapters; and Gaṇita-tilaka, an incomplete arithmetical treatise in 125 verses based on a work by Shridhara.
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, Varāhamihira, and Madhava. 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.
Utpala, also known as Bhaṭṭotpala was an astronomer from Kashmir region of present-day India, who lived in the 10th century. He wrote several Sanskrit-language texts on astrology and astronomy, the best-known being his commentaries on the works of the 6th-century astrologer-astronomer Varāhamihira.
Indian astronomy refers to astronomy practiced in the Indian subcontinent. It has a long history stretching from pre-historic to modern times. Some of the earliest roots of Indian astronomy can be dated to the period of Indus Valley civilisation or earlier. Astronomy later developed as a discipline of Vedanga, or one of the "auxiliary disciplines" associated with the study of the Vedas dating 1500 BCE or older. The oldest known text is the Vedanga Jyotisha, dated to 1400–1200 BCE.
The Surya Siddhanta is a Sanskrit treatise in Indian astronomy dated to 4th to 5th century, in fourteen chapters. The Surya Siddhanta describes rules to calculate the motions of various planets and the moon relative to various constellations, diameters of various planets, and calculates the orbits of various astronomical bodies. The text is known from a 15th-century CE palm-leaf manuscript, and several newer manuscripts. It was composed or revised probably c. 800 CE from an earlier text also called the Surya Siddhanta. The Surya Siddhanta text is composed of verses made up of two lines, each broken into two halves, or pãds, of eight syllables each.
Aryabhatiya or Aryabhatiyam, a Sanskrit astronomical treatise, is the magnum opus and only known surviving work of the 5th century Indian mathematician Aryabhata. Philosopher of astronomy Roger Billard estimates that the book was composed around 510 CE based on historical references it mentions.
Govindasvāmi was an Indian mathematical astronomer most famous for his Bhashya, a commentary on the Mahābhāskarīya of Bhāskara I, written around 830. The commentary contains many examples illustrating the use of a Sanskrit place-value system and the construction of a sine table.
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.
Golagrama was 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.
Sudhakara Dvivedi (1855-1910) was an Indian scholar in Sanskrit and mathematics.
Bijaganita was treatise on algebra by the Indian mathematician Bhāskara II. It is the second volume of his main work Siddhānta Shiromani alongside Lilāvati, Grahaganita and Golādhyāya.
Pathani Samanta better known as Mahamahopadhyaya Chandrasekhara Singha Harichandana Mahapatra Samanta, was an Indian astronomer, mathematician and scholar who measured the distance from the Earth to the Sun with a bamboo pipe, and traditional instruments. He was born on 13 December 1835 in Purnimanta Pousha Krishna Ashtami, and died on 11 June 1904 in Purnimanta Adhika Jyeshtha Krishna Trayodashi.
Pancha-siddhantika is a 6th-century CE Sanskrit-language text written by astrologer-astronomer Varāhamihira in present-day Ujjain, India. It summarizes the contents of the treatises of the five contemporary schools of astronomy (siddhantas) prevalent in India.
Pātīgaṇita is the term used in pre-modern Indian mathematical literature to denote the area of mathematics dealing with arithmetic and mensuration. The term is a compound word formed by combining the words pātī and gaṇita. The former is a non-Sanskrit word meaning a "board" and the latter is a Sanskrit word meaning "science of calculation". Thus the term pātīgaṇita literally means the science of calculations which requires a board for performing the calculations, or "board-computation" in short. The usage of the term became popular among authors of Indian mathematical works about the beginning of the seventh century CE. It may be noted that Brahmagupta has not used this term. Instead, he uses the term dhūlīkarma. The terminology pātīgaṇitamay be contrasted with "bījagaṇita" which denotes the area of mathematics referred to as algebra.
