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Contributions of Indian Mathematicians to Calculus in the Field of Physics

Description: This quiz is designed to test your knowledge about the contributions made by Indian mathematicians to calculus in the field of physics.
Number of Questions: 15
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Tags: indian mathematics calculus physics
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Who is considered to be the father of Indian calculus?

  1. Aryabhata

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. Madhava of Sangamagrama


Correct Option: D
Explanation:

Madhava of Sangamagrama is widely regarded as the father of Indian calculus due to his significant contributions to the field in the 14th century.

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:

Madhava of Sangamagrama developed the Madhava series, also known as the Gregory series, to approximate the value of pi.

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

  1. Aryabhata

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. Nilakantha Somayaji


Correct Option: D
Explanation:

Nilakantha Somayaji, a 15th-century Indian mathematician, is credited with developing the concept of the derivative.

Who was the first Indian mathematician to use the concept of infinitesimals in calculus?

  1. Aryabhata

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. Jyeshtadeva


Correct Option: D
Explanation:

Jyeshtadeva, an 11th-century Indian mathematician, was the first to use the concept of infinitesimals in calculus.

Which Indian mathematician is known for his work on the Taylor series?

  1. Aryabhata

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. Brook Taylor


Correct Option: C
Explanation:

Srinivasa Ramanujan, a 20th-century Indian mathematician, made significant contributions to the Taylor series.

What is the name of the theorem developed by Srinivasa Ramanujan that relates to the Riemann zeta function?

  1. Ramanujan's prime number theorem

  2. Ramanujan's modular equation

  3. Ramanujan's theta function identity

  4. Ramanujan's mock theta functions


Correct Option: B
Explanation:

Srinivasa Ramanujan developed the Ramanujan's modular equation, which relates to the Riemann zeta function.

Which Indian mathematician is known for his work on elliptic functions?

  1. Aryabhata

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. S. Ramanujan


Correct Option: D
Explanation:

S. Ramanujan, a 20th-century Indian mathematician, made significant contributions to the study of elliptic functions.

What is the name of the theorem developed by S. Ramanujan that relates to modular forms?

  1. Ramanujan's prime number theorem

  2. Ramanujan's modular equation

  3. Ramanujan's theta function identity

  4. Ramanujan's mock theta functions


Correct Option: B
Explanation:

S. Ramanujan developed the Ramanujan's modular equation, which relates to modular forms.

Which Indian mathematician is known for his work on the theory of numbers?

  1. Aryabhata

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. C. R. Rao


Correct Option: C
Explanation:

Srinivasa Ramanujan made significant contributions to the theory of numbers.

What is the name of the theorem developed by Srinivasa Ramanujan that relates to the distribution of prime numbers?

  1. Ramanujan's prime number theorem

  2. Ramanujan's modular equation

  3. Ramanujan's theta function identity

  4. Ramanujan's mock theta functions


Correct Option: A
Explanation:

Srinivasa Ramanujan developed the Ramanujan's prime number theorem, which relates to the distribution of prime numbers.

Which Indian mathematician is known for his work on statistics?

  1. Aryabhata

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. C. R. Rao


Correct Option: D
Explanation:

C. R. Rao, a 20th-century Indian mathematician, made significant contributions to the field of statistics.

What is the name of the theorem developed by C. R. Rao that relates to the analysis of variance?

  1. Rao's theorem

  2. Rao's inequality

  3. Rao's lemma

  4. Rao's test


Correct Option: A
Explanation:

C. R. Rao developed the Rao's theorem, which relates to the analysis of variance.

Which Indian mathematician is known for his work on probability theory?

  1. Aryabhata

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. S. N. Bose


Correct Option: D
Explanation:

S. N. Bose, a 20th-century Indian mathematician, made significant contributions to probability theory.

What is the name of the distribution developed by S. N. Bose that relates to the distribution of particles in a quantum system?

  1. Bose-Einstein distribution

  2. Fermi-Dirac distribution

  3. Maxwell-Boltzmann distribution

  4. Poisson distribution


Correct Option: A
Explanation:

S. N. Bose developed the Bose-Einstein distribution, which relates to the distribution of particles in a quantum system.

Which Indian mathematician is known for his work on differential geometry?

  1. Aryabhata

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. S. S. Chern


Correct Option: D
Explanation:

S. S. Chern, a 20th-century Indian mathematician, made significant contributions to differential geometry.

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