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Indian Contributions to Partial Differential Equations

Description: This quiz is designed to assess your knowledge about the contributions made by Indian mathematicians to the field of Partial Differential Equations.
Number of Questions: 15
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Tags: indian mathematics partial differential equations mathematics
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Who is considered as the father of modern Partial Differential Equations?

  1. Srinivasa Ramanujan

  2. C. V. Raman

  3. Satyendra Nath Bose

  4. Harish-Chandra


Correct Option: A
Explanation:

Srinivasa Ramanujan is widely regarded as the father of modern Partial Differential Equations due to his groundbreaking work in the field.

Which Indian mathematician made significant contributions to the theory of linear partial differential equations?

  1. C. R. Rao

  2. S. N. Bose

  3. Harish-Chandra

  4. M. S. Narasimhan


Correct Option: C
Explanation:

Harish-Chandra made significant contributions to the theory of linear partial differential equations, particularly in the area of representation theory.

Who developed the method of characteristics for solving partial differential equations?

  1. S. Chandrasekhar

  2. C. V. Raman

  3. S. N. Bose

  4. M. S. Narasimhan


Correct Option: A
Explanation:

S. Chandrasekhar developed the method of characteristics for solving partial differential equations, which is widely used in various fields of physics and engineering.

Which Indian mathematician is known for his work on nonlinear partial differential equations?

  1. C. R. Rao

  2. S. N. Bose

  3. Harish-Chandra

  4. M. S. Narasimhan


Correct Option: D
Explanation:

M. S. Narasimhan made significant contributions to the study of nonlinear partial differential equations, particularly in the area of algebraic geometry.

Who is considered as one of the pioneers of the theory of distributions?

  1. S. Chandrasekhar

  2. C. V. Raman

  3. S. N. Bose

  4. K. S. Chandrasekharan


Correct Option: D
Explanation:

K. S. Chandrasekharan is considered as one of the pioneers of the theory of distributions, which is a fundamental tool in the study of partial differential equations.

Which Indian mathematician made significant contributions to the study of parabolic partial differential equations?

  1. C. R. Rao

  2. S. N. Bose

  3. Harish-Chandra

  4. S. R. Srinivasa Varadhan


Correct Option: D
Explanation:

S. R. Srinivasa Varadhan made significant contributions to the study of parabolic partial differential equations, particularly in the area of stochastic analysis.

Who developed the theory of weak solutions for partial differential equations?

  1. S. Chandrasekhar

  2. C. V. Raman

  3. S. N. Bose

  4. Laxmi Narasimhan


Correct Option: D
Explanation:

Laxmi Narasimhan developed the theory of weak solutions for partial differential equations, which is a fundamental concept in the study of nonlinear partial differential equations.

Which Indian mathematician is known for his work on the Navier-Stokes equations?

  1. C. R. Rao

  2. S. N. Bose

  3. Harish-Chandra

  4. V. S. Varadarajan


Correct Option: D
Explanation:

V. S. Varadarajan made significant contributions to the study of the Navier-Stokes equations, which are fundamental in fluid dynamics.

Who developed the theory of regularity for solutions of partial differential equations?

  1. S. Chandrasekhar

  2. C. V. Raman

  3. S. N. Bose

  4. S. R. Srinivasa Varadhan


Correct Option: D
Explanation:

S. R. Srinivasa Varadhan developed the theory of regularity for solutions of partial differential equations, which is a fundamental concept in the study of partial differential equations.

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

  1. C. R. Rao

  2. S. N. Bose

  3. Harish-Chandra

  4. H. L. Royden


Correct Option: D
Explanation:

H. L. Royden made significant contributions to the theory of viscosity solutions, which is a fundamental concept in the study of nonlinear partial differential equations.

Who developed the theory of harmonic analysis on Lie groups?

  1. S. Chandrasekhar

  2. C. V. Raman

  3. S. N. Bose

  4. Harish-Chandra


Correct Option: D
Explanation:

Harish-Chandra developed the theory of harmonic analysis on Lie groups, which is a fundamental tool in the study of partial differential equations.

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

  1. C. R. Rao

  2. S. N. Bose

  3. Harish-Chandra

  4. M. S. Narasimhan


Correct Option: D
Explanation:

M. S. Narasimhan made significant contributions to the theory of potential theory, which is a fundamental tool in the study of partial differential equations.

Who developed the theory of boundary value problems for partial differential equations?

  1. S. Chandrasekhar

  2. C. V. Raman

  3. S. N. Bose

  4. R. S. Kulkarni


Correct Option: D
Explanation:

R. S. Kulkarni made significant contributions to the theory of boundary value problems for partial differential equations, particularly in the area of elliptic partial differential equations.

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

  1. C. R. Rao

  2. S. N. Bose

  3. Harish-Chandra

  4. A. K. Varma


Correct Option: D
Explanation:

A. K. Varma made significant contributions to the theory of singular integrals, which is a fundamental tool in the study of partial differential equations.

Who developed the theory of pseudo-differential operators?

  1. S. Chandrasekhar

  2. C. V. Raman

  3. S. N. Bose

  4. M. S. Narasimhan


Correct Option: D
Explanation:

M. S. Narasimhan made significant contributions to the theory of pseudo-differential operators, which is a fundamental tool in the study of partial differential equations.

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