# Mathematician:Mahāvīrāchārya

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## Contents

## Mathematician

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.

## Nationality

Indian

## History

- Born: c. 800 in possibly Mysore, India
- Died: c. 870 in India

## Achievements

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

- Formulas for the sides and diagonals of a cyclic quadrilateral

## Publications

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

## Also known as

**Mahāvīrāchārya** literally means **Mahāvīrā the teacher**.

Often referred to as just **Mahavira**.

## Sources

- 1986: David Wells:
*Curious and Interesting Numbers*... (previous) ... (next): A List of Mathematicians in Chronological Sequence - 1997: David Wells:
*Curious and Interesting Numbers*(2nd ed.) ... (previous) ... (next): A List of Mathematicians in Chronological Sequence - 2008: David Nelson:
*The Penguin Dictionary of Mathematics*(4th ed.) ... (previous) ... (next): Entry:**Mahavira**(*fl*. ad 850) - 2008: Ian Stewart:
*Taming the Infinite*... (previous) ... (next): Chapter $3$: Notations and Numbers