0

Indian Mathematicians and the Early Development of Calculus

Description: This quiz is designed to assess your knowledge about the contributions of Indian mathematicians to the early development of calculus.
Number of Questions: 15
Created by:
Tags: indian mathematics calculus history of mathematics
Attempted 0/15 Correct 0 Score 0

Which Indian mathematician is credited with developing the concept of the derivative?

  1. Aryabhata

  2. Bhaskara II

  3. Madhava of Sangamagrama

  4. Srinivasa Ramanujan


Correct Option: C
Explanation:

Madhava of Sangamagrama, a 14th-century Indian mathematician, is considered to be the first to develop the concept of the derivative.

What is the name of the series developed by Madhava of Sangamagrama that is used to approximate the value of pi?

  1. Madhava series

  2. Gregory series

  3. Leibniz series

  4. Taylor series


Correct Option: A
Explanation:

The Madhava series is a series developed by Madhava of Sangamagrama that is used to approximate the value of pi.

Who is considered to be the founder of the Kerala school of mathematics?

  1. Aryabhata

  2. Bhaskara II

  3. Madhava of Sangamagrama

  4. Nilakantha Somayaji


Correct Option: C
Explanation:

Madhava of Sangamagrama is considered to be the founder of the Kerala school of mathematics.

What is the name of the theorem that states that the area under a curve can be approximated by a sum of rectangles?

  1. Fundamental theorem of calculus

  2. Mean value theorem

  3. Rolle's theorem

  4. Cauchy's mean value theorem


Correct Option: A
Explanation:

The fundamental theorem of calculus states that the area under a curve can be approximated by a sum of rectangles.

Which Indian mathematician is credited with developing the concept of the integral?

  1. Aryabhata

  2. Bhaskara II

  3. Madhava of Sangamagrama

  4. Srinivasa Ramanujan


Correct Option: C
Explanation:

Madhava of Sangamagrama is credited with developing the concept of the integral.

What is the name of the method developed by Madhava of Sangamagrama for approximating the area under a curve?

  1. Trapezoidal rule

  2. Simpson's rule

  3. Monte Carlo method

  4. Euler's method


Correct Option: A
Explanation:

Madhava of Sangamagrama developed the trapezoidal rule for approximating the area under a curve.

Who is considered to be the last major mathematician of the Kerala school of mathematics?

  1. Aryabhata

  2. Bhaskara II

  3. Madhava of Sangamagrama

  4. Jyeshtadeva


Correct Option: D
Explanation:

Jyeshtadeva is considered to be the last major mathematician of the Kerala school of mathematics.

What is the name of the series developed by Nilakantha Somayaji that is used to approximate the value of pi?

  1. Madhava series

  2. Gregory series

  3. Leibniz series

  4. Nilakantha series


Correct Option: D
Explanation:

The Nilakantha series is a series developed by Nilakantha Somayaji that is used to approximate the value of pi.

Which Indian mathematician is credited with developing the concept of the infinite series?

  1. Aryabhata

  2. Bhaskara II

  3. Madhava of Sangamagrama

  4. Srinivasa Ramanujan


Correct Option: C
Explanation:

Madhava of Sangamagrama is credited with developing the concept of the infinite series.

What is the name of the series developed by Srinivasa Ramanujan that is used to approximate the value of pi?

  1. Madhava series

  2. Gregory series

  3. Leibniz series

  4. Ramanujan series


Correct Option: D
Explanation:

The Ramanujan series is a series developed by Srinivasa Ramanujan that is used to approximate the value of pi.

Which Indian mathematician is credited with developing the concept of the Taylor series?

  1. Aryabhata

  2. Bhaskara II

  3. Madhava of Sangamagrama

  4. Srinivasa Ramanujan


Correct Option: C
Explanation:

Madhava of Sangamagrama is credited with developing the concept of the Taylor series.

What is the name of the series developed by Madhava of Sangamagrama that is used to approximate the value of sine?

  1. Madhava series

  2. Gregory series

  3. Leibniz series

  4. Taylor series


Correct Option: A
Explanation:

The Madhava series is a series developed by Madhava of Sangamagrama that is used to approximate the value of sine.

Which Indian mathematician is credited with developing the concept of the cosine series?

  1. Aryabhata

  2. Bhaskara II

  3. Madhava of Sangamagrama

  4. Srinivasa Ramanujan


Correct Option: C
Explanation:

Madhava of Sangamagrama is credited with developing the concept of the cosine series.

What is the name of the series developed by Madhava of Sangamagrama that is used to approximate the value of tangent?

  1. Madhava series

  2. Gregory series

  3. Leibniz series

  4. Taylor series


Correct Option: A
Explanation:

The Madhava series is a series developed by Madhava of Sangamagrama that is used to approximate the value of tangent.

Which Indian mathematician is credited with developing the concept of the cotangent series?

  1. Aryabhata

  2. Bhaskara II

  3. Madhava of Sangamagrama

  4. Srinivasa Ramanujan


Correct Option: C
Explanation:

Madhava of Sangamagrama is credited with developing the concept of the cotangent series.

- Hide questions