Vaṭeśvara ( ) (born c. 880), was a tenth-century

India India, officially the Republic of India, is a country in South Asia. It is the List of countries and dependencies by area, seventh-largest country by area; the List of countries by population (United Nations), most populous country since ...

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...

from

Kashmir Kashmir ( or ) is the Northwestern Indian subcontinent, northernmost geographical region of the Indian subcontinent. Until the mid-19th century, the term ''Kashmir'' denoted only the Kashmir Valley between the Great Himalayas and the Pir P ...

who presented several

trigonometric identities In trigonometry, trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for which both sides of the equality are defined. Geometrically, these are identities involvin ...

. He was the author (at the age of 24) of the '' Vaṭeśvara-siddhānta,'' written in 904 AD, a

treatise A treatise is a Formality, formal and systematic written discourse on some subject concerned with investigating or exposing the main principles of the subject and its conclusions."mwod:treatise, Treatise." Merriam-Webster Online Dictionary. Acc ...

focusing on

astronomy Astronomy is a natural science that studies celestial objects and the phenomena that occur in the cosmos. It uses mathematics, physics, and chemistry in order to explain their origin and their overall evolution. Objects of interest includ ...

and

applied mathematics Applied mathematics is the application of mathematics, mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and Industrial sector, industry. Thus, applied mathematics is a ...

.The work criticized

Brahmagupta Brahmagupta ( – ) was an Indian Indian mathematics, mathematician and Indian astronomy, astronomer. He is the author of two early works on mathematics and astronomy: the ''Brāhmasphuṭasiddhānta'' (BSS, "correctly established Siddhanta, do ...

and defended Aryabhatta I. An edition of the first three chapters was published in 1962 by R. S. Sharma and Mukund Mishra. Al Biruni referred to the works by Vateswara, particularly the Karaṇasāra, noting that the author was the son of Mihdatta who belonged to Nagarapura (also referred to as Anandapura, now named Vadnagar). The Karaṇasāra uses 821

Saka era The Shaka era (IAST: Śaka, Śāka) is a historical Hindu calendar era (year numbering), the epoch (its year zero) of which corresponds to Julian year 78. The era has been widely used in different regions of the Indian subcontinent as well a ...

(899 AD) as a reference year.

References

Other sources

* K. V. Sarma (1997), "Vatesvara",

Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures ''Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures'' is an encyclopedia edited by Helaine Selin and published by Kluwer Academic Publishers in 1997, with a second edition in 2008, and third edition in 2016 ...

edited by

Helaine Selin Helaine Selin (born 1946) is an American librarian, historian of science, author and book editor. Career Selin attended Binghamton University, where she earned her bachelor's degree. She received her MLS from SUNY Albany. She was a Peace Corps ...

, Springer, Kashmiri people 880s births 10th-century Indian mathematicians Year of death unknown 9th-century Indian mathematicians Scholars from Jammu and Kashmir {{asia-mathematician-stub