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

Description: This quiz aims to assess your knowledge of the contributions made by Indian mathematicians to the field of calculus and their applications in data science.
Number of Questions: 15
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Tags: indian mathematics calculus data science
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Which Indian mathematician is known for his work on the concept of zero and the decimal system?

  1. Aryabhata

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. Brahmagupta


Correct Option: A
Explanation:

Aryabhata was an ancient Indian mathematician and astronomer who lived in the 5th century CE. He is credited with developing the concept of zero and the decimal system, which revolutionized mathematics.

Who is considered to be the father of Indian mathematics?

  1. Aryabhata

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. Brahmagupta


Correct Option: B
Explanation:

Bhaskara II, also known as Bhaskaracharya, was a renowned Indian mathematician and astronomer who lived in the 12th century CE. He is often regarded as the father of Indian mathematics due to his significant contributions to various mathematical fields.

Which Indian mathematician developed the concept of the Taylor series?

  1. Aryabhata

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. Madhava of Sangamagrama


Correct Option: D
Explanation:

Madhava of Sangamagrama was an Indian mathematician and astronomer who lived in the 14th century CE. He is credited with developing the concept of the Taylor series, which is a fundamental tool in calculus used to approximate functions.

Who is known for his work on the theory of interpolation and numerical analysis?

  1. Aryabhata

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. Brahmagupta


Correct Option: D
Explanation:

Brahmagupta was an Indian mathematician and astronomer who lived in the 6th century CE. He made significant contributions to the field of numerical analysis, including the development of interpolation methods and the Brahmagupta formula for solving quadratic equations.

Which Indian mathematician is famous for his work on continued fractions?

  1. Aryabhata

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. Varahamihira


Correct Option: C
Explanation:

Srinivasa Ramanujan was a brilliant Indian mathematician who lived in the early 20th century. He made remarkable contributions to various branches of mathematics, including continued fractions, where he discovered several new and elegant formulas.

Who is known for his work on the concept of the derivative and its applications in calculus?

  1. Aryabhata

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. Leibniz


Correct Option: B
Explanation:

Bhaskara II was one of the first mathematicians to develop the concept of the derivative, which is a fundamental concept in calculus. He used this concept to solve various problems related to motion and astronomy.

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

  1. Aryabhata

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. Madhava of Sangamagrama


Correct Option: D
Explanation:

Madhava of Sangamagrama is recognized for his work on the concept of the integral, which is another fundamental concept in calculus. He developed several methods for approximating integrals, including the trapezoidal rule and the Gregory-Leibniz series.

Who is known for his work on the applications of calculus in data science?

  1. Aryabhata

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. C.R. Rao


Correct Option: D
Explanation:

C.R. Rao is a renowned Indian statistician and mathematician who made significant contributions to the field of data science. He developed various statistical methods and techniques that are widely used in data analysis and machine learning.

Which Indian mathematician is known for his work on the theory of estimation and hypothesis testing?

  1. Aryabhata

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. P.C. Mahalanobis


Correct Option: D
Explanation:

P.C. Mahalanobis was an Indian statistician who made significant contributions to the theory of estimation and hypothesis testing. He developed the Mahalanobis distance, which is a measure of the distance between two multivariate data points.

Who is known for his work on the development of non-parametric statistical methods?

  1. Aryabhata

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. M.G. Kendall


Correct Option: D
Explanation:

M.G. Kendall was an Indian statistician who made significant contributions to the development of non-parametric statistical methods. He is known for his work on rank correlation and the Kendall tau coefficient.

Which Indian mathematician is famous for his work on the theory of large deviations?

  1. Aryabhata

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. S.R.S. Varadhan


Correct Option: D
Explanation:

S.R.S. Varadhan is an Indian-American mathematician who made significant contributions to the theory of large deviations. He received the Abel Prize in 2007 for his work in this area.

Who is known for his work on the theory of stochastic processes?

  1. Aryabhata

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. R.N. Bhattacharya


Correct Option: D
Explanation:

R.N. Bhattacharya is an Indian-American statistician who made significant contributions to the theory of stochastic processes. He is known for his work on Markov processes and martingales.

Which Indian mathematician is famous for his work on the theory of information and coding theory?

  1. Aryabhata

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. R.C. Bose


Correct Option: D
Explanation:

R.C. Bose was an Indian mathematician and statistician who made significant contributions to the theory of information and coding theory. He is known for his work on orthogonal arrays and error-correcting codes.

Who is known for his work on the development of statistical methods for analyzing categorical data?

  1. Aryabhata

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. V.P. Godambe


Correct Option: D
Explanation:

V.P. Godambe was an Indian statistician who made significant contributions to the development of statistical methods for analyzing categorical data. He is known for his work on contingency tables and log-linear models.

Which Indian mathematician is famous for his work on the theory of optimal stopping?

  1. Aryabhata

  2. Bhaskara II

  3. Srinivasa Ramanujan

  4. K.R. Parthasarathy


Correct Option: D
Explanation:

K.R. Parthasarathy is an Indian mathematician who made significant contributions to the theory of optimal stopping. He is known for his work on the Gittins index and the secretary problem.

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