Contributions of Indian Mathematicians to Calculus in the Field of Finance

Madhava of Sangamagrama, who lived in the 14th century, is widely regarded as the father of Indian calculus due to his significant contributions to the field.

The Madhava series, also known as the Gregory series, is a series expansion that approximates the value of pi. It was first discovered by Madhava of Sangamagrama.

The Madhava series is used in finance to calculate the present value of a stream of cash flows, which is a fundamental concept in evaluating the value of an investment.

Bhaskara II, who lived in the 12th century, is credited with developing the concept of 'infinite series' in Indian mathematics.

The Chakravala method, developed by Bhaskara II, is an ancient Indian method for solving indeterminate equations.

The Chakravala method is used in finance to solve problems related to compound interest, which is a fundamental concept in calculating the future value of an investment.

Madhava of Sangamagrama is credited with developing the concept of 'fluxions', which is a precursor to the modern concept of derivatives in calculus.

The concept of 'fluxions' is used in finance to calculate the rate of change of a function, which is essential for analyzing the performance of an investment over time.

Madhava of Sangamagrama is credited with developing the concept of 'infinitely small quantities', which is a precursor to the modern concept of limits in calculus.

The concept of 'infinitely small quantities' is used in finance to calculate the present value of a stream of cash flows, which is a fundamental concept in evaluating the value of an investment.

Madhava of Sangamagrama is credited with developing the concept of 'series expansions', which is a fundamental concept in calculus.

The concept of 'series expansions' is used in finance to approximate the value of a function, which is essential for analyzing the performance of an investment over time.

Madhava of Sangamagrama is credited with developing the concept of 'differential calculus', which is a fundamental branch of calculus.

The concept of 'differential calculus' is used in finance to calculate the rate of change of a function, which is essential for analyzing the performance of an investment over time.

Madhava of Sangamagrama is credited with developing the concept of 'integral calculus', which is a fundamental branch of calculus.

The concept of 'integral calculus' is used in finance to calculate the area under a curve, which is essential for calculating the present value of a stream of cash flows.