Calculus and Infinite Series in Indian Mathematics

Madhava of Sangamagrama, who lived in the 14th century, is widely regarded as the father of Indian Calculus.

Madhava of Sangamagrama developed the concept of the Taylor series in the 14th century, centuries before it was discovered in Europe.

The Madhava series is a series used to approximate the sine function, discovered by Madhava of Sangamagrama.

Brahmagupta, who lived in the 6th century, developed the concept of the infinite geometric series.

The trapezoidal rule is a method used to approximate the area under a curve, known in Indian mathematics since ancient times.

Madhava of Sangamagrama developed the concept of the derivative in the 14th century, centuries before it was discovered in Europe.

The Madhava series is a series used to approximate the value of pi, discovered by Madhava of Sangamagrama.

Madhava of Sangamagrama developed the concept of the integral in the 14th century, centuries before it was discovered in Europe.

The Madhava series is a series used to approximate the exponential function, discovered by Madhava of Sangamagrama.

Madhava of Sangamagrama developed the concept of the logarithmic function in the 14th century, centuries before it was discovered in Europe.

The Madhava series is a series used to approximate the hyperbolic sine function, discovered by Madhava of Sangamagrama.

Madhava of Sangamagrama developed the concept of the hyperbolic cosine function in the 14th century, centuries before it was discovered in Europe.

The Madhava series is a series used to approximate the hyperbolic tangent function, discovered by Madhava of Sangamagrama.

Madhava of Sangamagrama developed the concept of the hyperbolic cotangent function in the 14th century, centuries before it was discovered in Europe.

The Madhava series is a series used to approximate the hyperbolic secant function, discovered by Madhava of Sangamagrama.