# Mathematician:Mahāvīrāchārya

## Mathematician

Mahāvīrāchārya (literally: Mahāvīrā the teacher) was an Indian mathematician best known for separating the subject of mathematics from that of astrology.

Gave the sum of a series whose terms are squares of an arithmetical progression and empirical rules for area and perimeter of an ellipse.

Indian

## History

• Born: c. 800, possibly Mysore, India
• Died: c. 870, India

## Achievements

• Solutions of equations of the forms $ax^n = q$ and $a \dfrac{x^n - 1}{x - 1} = p$

## Publications

• c. 850: Ganita Sara Samgraha ("Compendium of the Essence of Mathematics" or "Compendium of Calculations"), an updating of Brahmagupta's Brahmasphutasiddhanta