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Contributions of Indian Mathematicians to Calculus in the Field of Computer Science

Description: This quiz is designed to test your knowledge about the contributions of Indian mathematicians to the field of calculus and its applications in computer science.
Number of Questions: 15
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Tags: indian mathematics calculus computer science
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Which Indian mathematician is known as the 'Father of Calculus'?

  1. Srinivasa Ramanujan

  2. Bhaskara II

  3. Aryabhata

  4. Brahmagupta


Correct Option: B
Explanation:

Bhaskara II, also known as Bhaskaracharya, is considered the 'Father of Calculus' for his significant contributions to the field in the 12th century.

What is the name of the theorem developed by Srinivasa Ramanujan that provides a method for approximating the value of a definite integral?

  1. Ramanujan's Summation Theorem

  2. Ramanujan's Master Theorem

  3. Ramanujan's Approximation Theorem

  4. Ramanujan's Convergence Theorem


Correct Option: C
Explanation:

Ramanujan's Approximation Theorem, also known as Ramanujan's Master Theorem, provides a method for approximating the value of a definite integral using a series expansion.

Which Indian mathematician developed the concept of 'Kerala School of Mathematics' and made significant contributions to calculus in the 15th century?

  1. Madhava of Sangamagrama

  2. Nilakantha Somayaji

  3. Jyeshtadeva

  4. Parameshvara


Correct Option: A
Explanation:

Madhava of Sangamagrama is credited with developing the 'Kerala School of Mathematics' and making significant contributions to calculus in the 15th century.

What is the name of the series expansion method developed by Madhava of Sangamagrama that is used to approximate the value of trigonometric functions?

  1. Madhava's Series Expansion

  2. Madhava's Convergence Theorem

  3. Madhava's Approximation Theorem

  4. Madhava's Summation Theorem


Correct Option: A
Explanation:

Madhava's Series Expansion, also known as the Madhava-Gregory Series, is a method for approximating the value of trigonometric functions using a series expansion.

Which Indian mathematician developed the concept of 'infinite series' and made significant contributions to the field of calculus in the 16th century?

  1. Nilakantha Somayaji

  2. Jyeshtadeva

  3. Parameshvara

  4. Narayana Pandit


Correct Option: A
Explanation:

Nilakantha Somayaji, also known as Nilakantha, made significant contributions to the field of calculus in the 16th century, including the development of the concept of 'infinite series'.

What is the name of the theorem developed by Jyeshtadeva that provides a method for finding the area of a circle using an infinite series?

  1. Jyeshtadeva's Summation Theorem

  2. Jyeshtadeva's Approximation Theorem

  3. Jyeshtadeva's Convergence Theorem

  4. Jyeshtadeva's Area Theorem


Correct Option: D
Explanation:

Jyeshtadeva's Area Theorem provides a method for finding the area of a circle using an infinite series.

Which Indian mathematician developed the concept of 'fluxions' and made significant contributions to the field of calculus in the 17th century?

  1. Parameshvara

  2. Narayana Pandit

  3. Bhaskara I

  4. Brahmagupta


Correct Option: A
Explanation:

Parameshvara, also known as Parameswaran Namboodiri, made significant contributions to the field of calculus in the 17th century, including the development of the concept of 'fluxions'.

What is the name of the method developed by Narayana Pandit for finding the area of a circle using a series expansion?

  1. Narayana Pandit's Series Expansion

  2. Narayana Pandit's Approximation Theorem

  3. Narayana Pandit's Convergence Theorem

  4. Narayana Pandit's Area Theorem


Correct Option: A
Explanation:

Narayana Pandit's Series Expansion provides a method for finding the area of a circle using a series expansion.

Which Indian mathematician developed the concept of 'infinitesimals' and made significant contributions to the field of calculus in the 18th century?

  1. Bhaskara I

  2. Brahmagupta

  3. Aryabhata

  4. Srinivasa Ramanujan


Correct Option: A
Explanation:

Bhaskara I, also known as Bhaskaracharya I, made significant contributions to the field of calculus in the 18th century, including the development of the concept of 'infinitesimals'.

What is the name of the theorem developed by Brahmagupta that provides a method for finding the area of a triangle using Heron's formula?

  1. Brahmagupta's Summation Theorem

  2. Brahmagupta's Approximation Theorem

  3. Brahmagupta's Convergence Theorem

  4. Brahmagupta's Area Theorem


Correct Option: D
Explanation:

Brahmagupta's Area Theorem provides a method for finding the area of a triangle using Heron's formula.

Which Indian mathematician developed the concept of 'differential calculus' and made significant contributions to the field of calculus in the 19th century?

  1. Aryabhata

  2. Srinivasa Ramanujan

  3. Bhaskara II

  4. Madhava of Sangamagrama


Correct Option: A
Explanation:

Aryabhata, also known as Aryabhata I, made significant contributions to the field of calculus in the 19th century, including the development of the concept of 'differential calculus'.

What is the name of the method developed by Srinivasa Ramanujan for finding the value of a definite integral using a series expansion?

  1. Ramanujan's Summation Theorem

  2. Ramanujan's Approximation Theorem

  3. Ramanujan's Convergence Theorem

  4. Ramanujan's Integration Theorem


Correct Option: D
Explanation:

Ramanujan's Integration Theorem provides a method for finding the value of a definite integral using a series expansion.

Which Indian mathematician developed the concept of 'integral calculus' and made significant contributions to the field of calculus in the 20th century?

  1. Bhaskara II

  2. Madhava of Sangamagrama

  3. Nilakantha Somayaji

  4. Jyeshtadeva


Correct Option: A
Explanation:

Bhaskara II, also known as Bhaskaracharya, made significant contributions to the field of calculus in the 20th century, including the development of the concept of 'integral calculus'.

What is the name of the theorem developed by Madhava of Sangamagrama that provides a method for finding the area of a circle using an infinite series?

  1. Madhava's Summation Theorem

  2. Madhava's Approximation Theorem

  3. Madhava's Convergence Theorem

  4. Madhava's Area Theorem


Correct Option: D
Explanation:

Madhava's Area Theorem provides a method for finding the area of a circle using an infinite series.

Which Indian mathematician developed the concept of 'calculus of variations' and made significant contributions to the field of calculus in the 21st century?

  1. Nilakantha Somayaji

  2. Jyeshtadeva

  3. Parameshvara

  4. Narayana Pandit


Correct Option: A
Explanation:

Nilakantha Somayaji, also known as Nilakantha, made significant contributions to the field of calculus in the 21st century, including the development of the concept of 'calculus of variations'.

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