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Calculus and Infinite Series in Indian Mathematics

Description: Calculus and Infinite Series in Indian Mathematics
Number of Questions: 15
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Tags: indian mathematics calculus infinite series
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Who is considered the father of Indian Calculus?

  1. Aryabhata

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. Madhava of Sangamagrama


Correct Option: D
Explanation:

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

Which Indian mathematician developed the concept of the Taylor series?

  1. Aryabhata

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. Madhava of Sangamagrama


Correct Option: D
Explanation:

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

What is the name of the series used to approximate the sine function in Indian mathematics?

  1. Madhava series

  2. Gregory series

  3. Taylor series

  4. Fourier series


Correct Option: A
Explanation:

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

Which Indian mathematician developed the concept of the infinite geometric series?

  1. Aryabhata

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. Brahmagupta


Correct Option: D
Explanation:

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

What is the name of the series used to approximate the area under a curve in Indian mathematics?

  1. Madhava series

  2. Gregory series

  3. Taylor series

  4. Trapezoidal rule


Correct Option: D
Explanation:

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

Which Indian mathematician developed the concept of the derivative?

  1. Aryabhata

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. Madhava of Sangamagrama


Correct Option: D
Explanation:

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

What is the name of the series used to approximate the value of pi in Indian mathematics?

  1. Madhava series

  2. Gregory series

  3. Taylor series

  4. Leibniz series


Correct Option: A
Explanation:

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

Which Indian mathematician developed the concept of the integral?

  1. Aryabhata

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. Madhava of Sangamagrama


Correct Option: D
Explanation:

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

What is the name of the series used to approximate the exponential function in Indian mathematics?

  1. Madhava series

  2. Gregory series

  3. Taylor series

  4. Maclaurin series


Correct Option: A
Explanation:

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

Which Indian mathematician developed the concept of the logarithmic function?

  1. Aryabhata

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. Madhava of Sangamagrama


Correct Option: D
Explanation:

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

What is the name of the series used to approximate the hyperbolic sine function in Indian mathematics?

  1. Madhava series

  2. Gregory series

  3. Taylor series

  4. Sinh series


Correct Option: A
Explanation:

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

Which Indian mathematician developed the concept of the hyperbolic cosine function?

  1. Aryabhata

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. Madhava of Sangamagrama


Correct Option: D
Explanation:

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

What is the name of the series used to approximate the hyperbolic tangent function in Indian mathematics?

  1. Madhava series

  2. Gregory series

  3. Taylor series

  4. Tanh series


Correct Option: A
Explanation:

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

Which Indian mathematician developed the concept of the hyperbolic cotangent function?

  1. Aryabhata

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. Madhava of Sangamagrama


Correct Option: D
Explanation:

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

What is the name of the series used to approximate the hyperbolic secant function in Indian mathematics?

  1. Madhava series

  2. Gregory series

  3. Taylor series

  4. Sech series


Correct Option: A
Explanation:

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

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