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Madhava of Sangamagrama: The Father of Indian Calculus

Description: Madhava of Sangamagrama was a 14th-century Indian mathematician and astronomer who is considered to be the father of Indian calculus. He made significant contributions to the development of calculus, including the discovery of the Taylor series expansion and the use of infinite series to approximate functions. This quiz will test your knowledge of Madhava of Sangamagrama and his contributions to mathematics.
Number of Questions: 10
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Tags: indian mathematics calculus taylor series infinite series
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In what century did Madhava of Sangamagrama live?

  1. 12th century

  2. 13th century

  3. 14th century

  4. 15th century

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Correct Option: C
Explanation:

Madhava of Sangamagrama lived in the 14th century.

What is Madhava of Sangamagrama most famous for?

  1. His contributions to calculus

  2. His work on astronomy

  3. His development of the Taylor series

  4. His use of infinite series to approximate functions

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Correct Option: A
Explanation:

Madhava of Sangamagrama is most famous for his contributions to calculus, including the discovery of the Taylor series expansion and the use of infinite series to approximate functions.

What is the Taylor series expansion?

  1. A method for approximating functions using infinite series

  2. A method for finding the derivative of a function

  3. A method for finding the integral of a function

  4. A method for solving differential equations

Show answer
Correct Option: A
Explanation:

The Taylor series expansion is a method for approximating functions using infinite series.

What is the use of infinite series to approximate functions?

  1. To find the derivative of a function

  2. To find the integral of a function

  3. To solve differential equations

  4. To approximate the value of a function at a given point

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Correct Option: D
Explanation:

Infinite series can be used to approximate the value of a function at a given point.

What is Madhava of Sangamagrama's most important work?

  1. The Lilavati

  2. The Bijaganita

  3. The Yuktibhasa

  4. The Tantrasangraha

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Correct Option: C
Explanation:

Madhava of Sangamagrama's most important work is the Yuktibhasa, which contains his contributions to calculus.

What is the Yuktibhasa?

  1. A treatise on calculus

  2. A treatise on astronomy

  3. A treatise on mathematics

  4. A treatise on philosophy

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Correct Option: A
Explanation:

The Yuktibhasa is a treatise on calculus written by Madhava of Sangamagrama.

What are some of the other contributions of Madhava of Sangamagrama to mathematics?

  1. The development of the decimal system

  2. The discovery of the sine and cosine functions

  3. The development of the concept of infinity

  4. The development of the concept of zero

Show answer
Correct Option: C
Explanation:

Madhava of Sangamagrama made several other contributions to mathematics, including the development of the concept of infinity.

What is the concept of infinity?

  1. The idea that there is no limit to the size of a set

  2. The idea that there is no limit to the number of elements in a set

  3. The idea that there is no limit to the number of operations that can be performed on a set

  4. The idea that there is no limit to the number of ways a set can be arranged

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Correct Option: A
Explanation:

The concept of infinity is the idea that there is no limit to the size of a set.

How did Madhava of Sangamagrama use the concept of infinity in his work?

  1. He used it to develop the Taylor series expansion

  2. He used it to develop the concept of calculus

  3. He used it to develop the concept of zero

  4. He used it to develop the concept of the derivative

Show answer
Correct Option: A
Explanation:

Madhava of Sangamagrama used the concept of infinity to develop the Taylor series expansion.

What is the legacy of Madhava of Sangamagrama?

  1. He is considered to be the father of Indian calculus

  2. He is considered to be one of the greatest mathematicians of all time

  3. He is considered to be the founder of the Kerala school of mathematics

  4. All of the above

Show answer
Correct Option: D
Explanation:

Madhava of Sangamagrama is considered to be the father of Indian calculus, one of the greatest mathematicians of all time, and the founder of the Kerala school of mathematics.

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