Vaṭeśvara ( sa, वटेश्वर ) (born 880), was a tenth-century

India India, officially the Republic of India (Hindi: ), is a country in South Asia. It is the seventh-largest country by area, the second-most populous country, and the most populous democracy in the world. Bounded by the Indian Ocean on the so ...

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, structure, space, models, and change. History On ...

from

Kashmir Kashmir () is the 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 Panjal Range. Today, the term encompas ...

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 '' Vaṭeśvara-siddhānta'' written in 904 AD, a

treatise A treatise is a formal and systematic written discourse on some subject, generally longer and treating it in greater depth than an essay, and more concerned with investigating or exposing the principles of the subject and its conclusions."Treat ...

focusing on

astronomy Astronomy () is a natural science that studies astronomical object, celestial objects and phenomena. It uses mathematics, physics, and chemistry in order to explain their origin and chronology of the Universe, evolution. Objects of interest ...

and applied

mathematics Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...

.The work criticized

Brahmagupta Brahmagupta ( – ) was an Indian mathematician and astronomer. He is the author of two early works on mathematics and astronomy: the ''Brāhmasphuṭasiddhānta'' (BSS, "correctly established doctrine of Brahma", dated 628), a theoretical trea ...

and defended Aryabhatta I. An edition of the first three chapters was published in 1962 by R. S. Sharma and Mukund Mishra.

Al Biruni Abu Rayhan Muhammad ibn Ahmad al-Biruni (973 – after 1050) commonly known as al-Biruni, was a Khwarazmian Iranian in scholar and polymath during the Islamic Golden Age. He has been called variously the "founder of Indology", "Father of Co ...

referred to the works by Vateswara, particularly the Karaṇasāra, noting that the author was the son of Mihdatta who belonged to Nagarapura (also given as Anandapura which is now

Vadnagar Vadnagar is a town and municipality in the Mehsana district of the state of Gujarat in India. It just about 35 km from Mehsana city. Its ancient name was Anartapura, and was also known as Anandapura. It was a Buddhist location visited by Xu ...

). 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 India as well as in SE Asia. Hist ...

(899 AD) as a reference year.

References

Other sources

K. V. Sarma K. V. Venkateswara Sarma (1919–2005) was an Indian historian of science, particularly the astronomy and mathematics of the Kerala school. He was responsible for bringing to light several of the achievements of the Kerala school. He was edito ...

(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 the editor of several bestselling books. Career Selin attended Binghamton University, where she earned her bachelor's degree. She received her MLS from SUNY Alb ...

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