Mathematician:Bhaskara II Acharya

Mathematician
Indian mathematician and astronomer.

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

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