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, and as Bhāskara II to avoid confusion with Bhāskara I, was an Indian mathematician, astronomer and inventor. From verses in his main work, Siddhāṁta Śiromaṇī (सिद्धांतशिरोमणी), 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. 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.
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.
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.
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.
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.
Puthumana Somayaji (c.1660–1740) was a 17th-century astronomer-mathematician from Kerala, India. He was born into the Puthumana or Puthuvana family of Sivapuram. The most famous work attributed to Puthumana Somayaji is Karanapaddhati which is a comprehensive treatise on Astronomy.
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 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.
Siddhānta Śiromaṇi is the major treatise of Indian mathematician Bhāskara II. He wrote the Siddhānta Śiromaṇi in 1150 when he was 36 years old. The work is composed in Sanskrit Language in 1450 verses.
Mañjula, also known as Muñjāla, was an Indian astronomer, whose only surviving work is Laghu-mānasa, an ephemeris and calculation text in Sanskrit language. He may have also authored another text, the Bṛhan-mānasa, but this is not certain.
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.
Kali ahargaṇa is an integer associated with a civil day. The integer represents the number of civil days in a collection of consecutive days beginning with a special day called the kali epoch and ending with a specified day. Kali ahargaṇa is one of the basic parameters of Indian astronomy and it is extensively in all sorts of astronomical computations.
