INDIAN HISTORY

Detailed explanation-1: -This period saw mathematicians such as Aryabhata, Varahamihira, Brahmagupta, Bhaskara I, Mahavira, Bhaskara II, Madhava of Sangamagrama and Nilakantha Somayaji give broader and clearer shape to many branches of mathematics.

Detailed explanation-2: -Bhāskara II, also called Bhāskarācārya or Bhaskara the Learned, (born 1114, Biddur, India-died c. 1185, probably Ujjain), the leading mathematician of the 12th century, who wrote the first work with full and systematic use of the decimal number system.

Detailed explanation-3: -Some of Bhaskara’s contributions to mathematics include the following: A proof of the Pythagorean theorem by calculating the same area in two different ways and then cancelling out terms to get a2 + b2 = c2. In Lilavati, solutions of quadratic, cubic and quartic indeterminate equations are explained.

Detailed explanation-4: -Aryabhata, also called Aryabhata I or Aryabhata the Elder, (born 476, possibly Ashmaka or Kusumapura, India), astronomer and the earliest Indian mathematician whose work and history are available to modern scholars.