Mathematician:Bhaskara II Acharya

Mathematician
Indian mathematician and astronomer.

One of the first to identify zero as a number in its own right.

He was so influential that his works were still being copied by as late as $1800$.

Nationality
Indian

History

 * Born: 1114 in Vijayapura, near Bijjada Bida (in present day Bijapur district, Karnataka state), South India
 * Died: 1185 in Ujjain, India

Theorems and Definitions

 * Bhaskara's Lemma


 * A proof of Pythagoras' Theorem by dropping a perpendicular and investigating the relations between the ratios of the sides of the resulting similar triangles.


 * A proof of Pythagoras' Theorem by calculating the same area in two different ways and then canceling out terms to get $a^2 + b^2 = c^2$.


 * Solutions of quadratic, cubic and quartic indeterminate equations.

Publications
All written in ca. $1150$ B.C.E.:
 * Līlāvatī ("The Beautiful", about arithmetic, in particular rules for divisibility by $9$, $3$, $5$, $7$ and $11$)


 * Bijaganita ("Seed Arithmetic", about algebra and the solution of equations)


 * Siddhanta Shiromani (or Siddhantasiromani) which consists of two parts:
 * Goladhyaya (sphere)
 * Grahaganita (mathematics of the planets).
 * It contains sine tables and various trigonometric relations.


 * Vasanabhasya of Mitaksara ('s own commentary on the Siddhanta Shiromani)


 * Karanakutuhala (Calculation of Astronomical Wonders) or Brahmatulya (a simplified version of the Siddhanta Shiromani)


 * Vivarana (a commentary on the Shishyadhividdhidatantra of.

Notable Quotes

 * Behold!
 * -- on demonstrating a proof of Pythagoras's Theorem


 * The second value is in this case not to be taken, for it is inadequate; people do not approve of negative roots.
 * -- on negative roots

Also known as
In Kannada: ಭಾಸ್ಕರಾಚಾರ್ಯ

The name can also be rendered Bhāskara.

Known as Bhāskara II, Bhāskara Āchārya ("Bhāskara the teacher"), or Bhāskarāchārya, to distinguish him from ).