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Contributions of Indian Mathematicians to Calculus in the Field of Mathematics

Description: This quiz aims to evaluate your understanding of the significant contributions made by Indian mathematicians to the field of calculus. These mathematicians played a crucial role in shaping the development of calculus and advancing mathematical knowledge.
Number of Questions: 15
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Tags: indian mathematics calculus contributions of indian mathematicians
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Who among the following Indian mathematicians is widely regarded as 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 often referred to as the 'Father of Indian Calculus' due to his substantial contributions to the development of calculus.

Which Indian mathematician developed the concept of the 'Kerala School of Astronomy and Mathematics'?

  1. Aryabhata

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. Madhava of Sangamagrama


Correct Option: D
Explanation:

Madhava of Sangamagrama established the 'Kerala School of Astronomy and Mathematics', which became a significant center for mathematical research and advancements.

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', which is a series expansion method for approximating various mathematical functions.

Which Indian mathematician is credited with discovering the concept of the 'sine function'?

  1. Aryabhata

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. Madhava of Sangamagrama


Correct Option: A
Explanation:

Aryabhata, a renowned Indian mathematician and astronomer, is credited with discovering the concept of the 'sine function'.

What is the name of the treatise written by Bhaskara II that contains significant contributions to calculus?

  1. Aryabhatiya

  2. Lilavati

  3. Siddhanta Shiromani

  4. Surya Siddhanta


Correct Option: C
Explanation:

Bhaskara II's treatise 'Siddhanta Shiromani' includes substantial contributions to calculus, particularly in the area of differential calculus.

Which Indian mathematician developed the concept of 'infinite series' and 'power series'?

  1. Aryabhata

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. Madhava of Sangamagrama


Correct Option: D
Explanation:

Madhava of Sangamagrama made significant contributions to the development of 'infinite series' and 'power series', which are fundamental concepts in calculus.

What is the name of the theorem developed by Srinivasa Ramanujan that relates to the behavior of infinite series?

  1. Ramanujan's Summation Formula

  2. Ramanujan's Prime Number Theorem

  3. Ramanujan's Conjecture

  4. Ramanujan's Modular Equation


Correct Option: A
Explanation:

Srinivasa Ramanujan developed the 'Ramanujan's Summation Formula', which provides a method for evaluating certain infinite series.

Which Indian mathematician is known for his work on the 'zeta function' and modular forms?

  1. Aryabhata

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. Madhava of Sangamagrama


Correct Option: C
Explanation:

Srinivasa Ramanujan made significant contributions to the study of the 'zeta function' and modular forms, which are important areas of mathematics.

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

  1. Ramanujan's Summation Formula

  2. Ramanujan's Prime Number Theorem

  3. Ramanujan's Conjecture

  4. Ramanujan's Modular Equation


Correct Option: B
Explanation:

Srinivasa Ramanujan developed the 'Ramanujan's Prime Number Theorem', which provides an asymptotic formula for the distribution of prime numbers.

Which Indian mathematician is known for his work on the 'Ramanujan conjecture'?

  1. Aryabhata

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. Madhava of Sangamagrama


Correct Option: C
Explanation:

Srinivasa Ramanujan formulated the 'Ramanujan conjecture', which is a famous unsolved problem in mathematics related to the partition function.

What is the name of the theorem developed by Srinivasa Ramanujan that relates to the behavior of modular forms?

  1. Ramanujan's Summation Formula

  2. Ramanujan's Prime Number Theorem

  3. Ramanujan's Conjecture

  4. Ramanujan's Modular Equation


Correct Option: D
Explanation:

Srinivasa Ramanujan developed the 'Ramanujan's Modular Equation', which is a fundamental result in the theory of modular forms.

Which Indian mathematician is known for his work on the 'Hardy-Ramanujan theorem'?

  1. Aryabhata

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. Madhava of Sangamagrama


Correct Option: C
Explanation:

Srinivasa Ramanujan collaborated with G.H. Hardy to develop the 'Hardy-Ramanujan theorem', which is a significant result in number theory.

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

  1. Ramanujan's Summation Formula

  2. Ramanujan's Prime Number Theorem

  3. Ramanujan's Conjecture

  4. Ramanujan's Riemann Hypothesis


Correct Option: D
Explanation:

Srinivasa Ramanujan formulated the 'Ramanujan's Riemann Hypothesis', which is a famous unsolved problem in mathematics related to the Riemann zeta function.

Which Indian mathematician is known for his work on the 'Ramanujan tau function'?

  1. Aryabhata

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. Madhava of Sangamagrama


Correct Option: C
Explanation:

Srinivasa Ramanujan developed the 'Ramanujan tau function', which is a multiplicative function that plays a significant role in number theory.

What is the name of the theorem developed by Srinivasa Ramanujan that relates to the behavior of modular forms?

  1. Ramanujan's Summation Formula

  2. Ramanujan's Prime Number Theorem

  3. Ramanujan's Conjecture

  4. Ramanujan's Modular Equation


Correct Option: D
Explanation:

Srinivasa Ramanujan developed the 'Ramanujan's Modular Equation', which is a fundamental result in the theory of modular forms.

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