Indian Mathematicians and the Spread of Calculus

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.

Madhava of Sangamagrama developed a series, now known as the Madhava series, which is used to approximate the value of π.

Nilakantha Somayaji, who lived in the 15th century, extended Madhava's work on calculus and made significant contributions to the development of infinite series.

Lagrange's theorem states that the derivative of a function is equal to the slope of the tangent line to the graph of the function at a given point.

Bhaskara I, who lived in the 6th century, is credited with developing the concept of the integral in Indian mathematics.

Bhaskara II, who lived in the 12th century, developed a method for finding the area of a circle using calculus.

The fundamental theorem of calculus states that the integral of a function over an interval is equal to the area under the graph of the function over that interval.

Madhava of Sangamagrama made significant contributions to the development of differential calculus.

Madhava of Sangamagrama developed a series, now known as the Madhava series, which is used to approximate the value of sin(x).

Madhava of Sangamagrama is credited with developing the concept of the derivative in Indian mathematics.

Bhaskara II, who lived in the 12th century, developed a method for finding the volume of a sphere using calculus.

The product rule states that the derivative of a product of two functions is equal to the product of the derivative of the first function and the second function plus the product of the first function and the derivative of the second function.

Madhava of Sangamagrama is credited with developing the concept of the limit in Indian mathematics.

Bhaskara II, who lived in the 12th century, developed a method for finding the area of a triangle using calculus.

The quotient rule states that the derivative of a quotient of two functions is equal to the quotient of the derivative of the numerator and the derivative of the denominator.