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Indian Contributions to Calculus in the 19th and 20th Centuries

Description: This quiz will test your knowledge about the contributions made by Indian mathematicians to the field of calculus in the 19th and 20th centuries.
Number of Questions: 15
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Tags: indian mathematics calculus 19th century 20th century
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Who is considered to be the father of modern Indian mathematics?

  1. Srinivasa Ramanujan

  2. Harish-Chandra

  3. C. R. Rao

  4. S. N. Bose


Correct Option: A
Explanation:

Srinivasa Ramanujan is widely regarded as the father of modern Indian mathematics for his groundbreaking work in number theory, analysis, and other areas of mathematics.

Which Indian mathematician made significant contributions to the theory of modular forms?

  1. Srinivasa Ramanujan

  2. Harish-Chandra

  3. C. R. Rao

  4. S. N. Bose


Correct Option: B
Explanation:

Harish-Chandra made fundamental contributions to the theory of modular forms, representation theory, and harmonic analysis.

Who developed the Rao-Blackwellization theorem in statistics?

  1. Srinivasa Ramanujan

  2. Harish-Chandra

  3. C. R. Rao

  4. S. N. Bose


Correct Option: C
Explanation:

C. R. Rao is known for his work in statistics, including the Rao-Blackwellization theorem, which provides a method for improving the efficiency of estimators.

Which Indian mathematician made significant contributions to quantum statistics?

  1. Srinivasa Ramanujan

  2. Harish-Chandra

  3. C. R. Rao

  4. S. N. Bose


Correct Option: D
Explanation:

S. N. Bose is renowned for his work on quantum statistics, particularly the Bose-Einstein statistics, which describes the behavior of bosons.

Who is known for his work on the Riemann zeta function and the theory of partitions?

  1. Srinivasa Ramanujan

  2. Harish-Chandra

  3. C. R. Rao

  4. S. N. Bose


Correct Option: A
Explanation:

Srinivasa Ramanujan made significant contributions to the study of the Riemann zeta function and the theory of partitions, leaving behind a wealth of mathematical insights.

Which Indian mathematician made important contributions to the theory of automorphic forms?

  1. Srinivasa Ramanujan

  2. Harish-Chandra

  3. C. R. Rao

  4. S. N. Bose


Correct Option: B
Explanation:

Harish-Chandra's work on automorphic forms had a profound impact on the field, leading to new insights and advancements.

Who developed the theory of information geometry?

  1. Srinivasa Ramanujan

  2. Harish-Chandra

  3. C. R. Rao

  4. S. N. Bose


Correct Option: C
Explanation:

C. R. Rao is credited with developing the theory of information geometry, which provides a geometric framework for studying statistical problems.

Which Indian mathematician is known for his contributions to the theory of Lie groups?

  1. Srinivasa Ramanujan

  2. Harish-Chandra

  3. C. R. Rao

  4. S. N. Bose


Correct Option: B
Explanation:

Harish-Chandra made significant contributions to the theory of Lie groups, including the development of the Harish-Chandra modules.

Who is known for his work on the theory of distributions?

  1. Srinivasa Ramanujan

  2. Harish-Chandra

  3. C. R. Rao

  4. S. N. Bose


Correct Option: B
Explanation:

Harish-Chandra's work on the theory of distributions, also known as generalized functions, had a major impact on analysis and its applications.

Which Indian mathematician made important contributions to the theory of probability?

  1. Srinivasa Ramanujan

  2. Harish-Chandra

  3. C. R. Rao

  4. S. N. Bose


Correct Option: C
Explanation:

C. R. Rao made significant contributions to the theory of probability, including the development of the Cramér-Rao inequality and the Rao-Blackwellization theorem.

Who is known for his work on the theory of numbers?

  1. Srinivasa Ramanujan

  2. Harish-Chandra

  3. C. R. Rao

  4. S. N. Bose


Correct Option: A
Explanation:

Srinivasa Ramanujan's work on the theory of numbers, including his discovery of the Ramanujan prime and the Ramanujan theta function, revolutionized the field.

Which Indian mathematician made important contributions to the theory of functions?

  1. Srinivasa Ramanujan

  2. Harish-Chandra

  3. C. R. Rao

  4. S. N. Bose


Correct Option: A
Explanation:

Srinivasa Ramanujan made significant contributions to the theory of functions, including the development of the Ramanujan master theorem and the Ramanujan summation formula.

Who is known for his work on the theory of differential equations?

  1. Srinivasa Ramanujan

  2. Harish-Chandra

  3. C. R. Rao

  4. S. N. Bose


Correct Option: A
Explanation:

Srinivasa Ramanujan made important contributions to the theory of differential equations, including the development of the Ramanujan differential equation and the Ramanujan-Sato differential equation.

Which Indian mathematician made significant contributions to the theory of integral equations?

  1. Srinivasa Ramanujan

  2. Harish-Chandra

  3. C. R. Rao

  4. S. N. Bose


Correct Option: A
Explanation:

Srinivasa Ramanujan made important contributions to the theory of integral equations, including the development of the Ramanujan integral equation and the Ramanujan-Mellin integral equation.

Who is known for his work on the theory of matrices?

  1. Srinivasa Ramanujan

  2. Harish-Chandra

  3. C. R. Rao

  4. S. N. Bose


Correct Option: C
Explanation:

C. R. Rao made significant contributions to the theory of matrices, including the development of the Rao-Blackwellization theorem and the Rao-Cramer inequality.

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