Indian Contributions to Calculus

Description: This quiz aims to assess your knowledge about the significant contributions made by Indian mathematicians to the field of calculus.
Number of Questions: 15
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Tags: indian mathematics calculus history of mathematics
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Who is considered the father of Indian calculus?

  1. Bhaskara II

  2. Aryabhata

  3. Madhava of Sangamagrama

  4. Brahmagupta


Correct Option: C
Explanation:

Madhava of Sangamagrama, also known as Madhavacharya, is widely regarded as the father of Indian calculus due to his pioneering work in the 14th century.

What is the name of the series expansion method developed by Madhava of Sangamagrama?

  1. Taylor Series

  2. Maclaurin Series

  3. Gregory Series

  4. Madhava Series


Correct Option: D
Explanation:

Madhava of Sangamagrama developed the Madhava Series, also known as the Taylor-Maclaurin Series, which is a method for approximating functions using an infinite sum of terms.

Which Indian mathematician discovered the concept of the derivative?

  1. Bhaskara II

  2. Aryabhata

  3. Madhava of Sangamagrama

  4. Brahmagupta


Correct Option: C
Explanation:

Madhava of Sangamagrama is credited with discovering the concept of the derivative, which is a fundamental concept in calculus used to measure the rate of change of a function.

What is the name of the series expansion method developed by Bhaskara II?

  1. Taylor Series

  2. Maclaurin Series

  3. Gregory Series

  4. Bhaskara Series


Correct Option: D
Explanation:

Bhaskara II developed the Bhaskara Series, which is a method for approximating functions using an infinite sum of terms.

Which Indian mathematician discovered the concept of the integral?

  1. Bhaskara II

  2. Aryabhata

  3. Madhava of Sangamagrama

  4. Brahmagupta


Correct Option: C
Explanation:

Madhava of Sangamagrama is credited with discovering the concept of the integral, which is a fundamental concept in calculus used to find the area under a curve.

What is the name of the series expansion method developed by Nilakantha Somayaji?

  1. Taylor Series

  2. Maclaurin Series

  3. Gregory Series

  4. Nilakantha Series


Correct Option: D
Explanation:

Nilakantha Somayaji developed the Nilakantha Series, which is a method for approximating functions using an infinite sum of terms.

Which Indian mathematician discovered the concept of the mean value theorem?

  1. Bhaskara II

  2. Aryabhata

  3. Madhava of Sangamagrama

  4. Brahmagupta


Correct Option: A
Explanation:

Bhaskara II discovered the concept of the mean value theorem, which is a fundamental theorem in calculus that relates the average value of a function to its values at two specific points.

What is the name of the series expansion method developed by Jyeshtadeva?

  1. Taylor Series

  2. Maclaurin Series

  3. Gregory Series

  4. Jyeshtadeva Series


Correct Option: D
Explanation:

Jyeshtadeva developed the Jyeshtadeva Series, which is a method for approximating functions using an infinite sum of terms.

Which Indian mathematician discovered the concept of the Rolle's theorem?

  1. Bhaskara II

  2. Aryabhata

  3. Madhava of Sangamagrama

  4. Brahmagupta


Correct Option: A
Explanation:

Bhaskara II discovered the concept of the Rolle's theorem, which is a fundamental theorem in calculus that relates the existence of a derivative to the existence of a zero.

What is the name of the series expansion method developed by Parameshvara?

  1. Taylor Series

  2. Maclaurin Series

  3. Gregory Series

  4. Parameshvara Series


Correct Option: D
Explanation:

Parameshvara developed the Parameshvara Series, which is a method for approximating functions using an infinite sum of terms.

Which Indian mathematician discovered the concept of the Cauchy-Riemann equations?

  1. Bhaskara II

  2. Aryabhata

  3. Madhava of Sangamagrama

  4. Brahmagupta


Correct Option: A
Explanation:

Bhaskara II discovered the concept of the Cauchy-Riemann equations, which are fundamental equations in complex analysis that relate the partial derivatives of a complex function to its analyticity.

What is the name of the series expansion method developed by Nripati?

  1. Taylor Series

  2. Maclaurin Series

  3. Gregory Series

  4. Nripati Series


Correct Option: D
Explanation:

Nripati developed the Nripati Series, which is a method for approximating functions using an infinite sum of terms.

Which Indian mathematician discovered the concept of the Green's theorem?

  1. Bhaskara II

  2. Aryabhata

  3. Madhava of Sangamagrama

  4. Brahmagupta


Correct Option: A
Explanation:

Bhaskara II discovered the concept of the Green's theorem, which is a fundamental theorem in vector calculus that relates the line integral of a vector field around a closed curve to the surface integral of the curl of the vector field over the surface bounded by the curve.

What is the name of the series expansion method developed by Shankara Variyar?

  1. Taylor Series

  2. Maclaurin Series

  3. Gregory Series

  4. Shankara Variyar Series


Correct Option: D
Explanation:

Shankara Variyar developed the Shankara Variyar Series, which is a method for approximating functions using an infinite sum of terms.

Which Indian mathematician discovered the concept of the Stokes' theorem?

  1. Bhaskara II

  2. Aryabhata

  3. Madhava of Sangamagrama

  4. Brahmagupta


Correct Option: A
Explanation:

Bhaskara II discovered the concept of the Stokes' theorem, which is a fundamental theorem in vector calculus that relates the line integral of a vector field around a closed curve to the surface integral of the curl of the vector field over the surface bounded by the curve.

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