Which of the following Indian mathematicians are known as founders of 'numerical analysis'?

(i) Ramanujan

(ii) Bhaskaracharya

(iii) Varahmihir

(iv) Aryabhatta

Choose the correct option.

Numerical analysis is a branch of mathematics that focuses on developing, analyzing, and applying algorithms to obtain approximate solutions to mathematical problems that cannot be solved exactly.

Key Points 

• Bhaskaracharya (Bhaskara II) and Aryabhatta are recognized for their contributions to early forms of numerical analysis.
• Bhaskaracharya made significant advancements in algebra and calculus, while Aryabhatta contributed to numerical methods and approximations.

Hint

• Ramanujan and Varahmihir made significant contributions to mathematics, but they are not specifically known as founders of numerical analysis.
• Ramanujan's work was more focused on number theory, and Varahmihir is known for his contributions to astronomy and astrology rather than numerical analysis

Hence, the correct answer is (ii) and (iv).