The Work of Govindasvāmin

Description: Test your knowledge on the contributions of Govindasvāmin, a notable Indian mathematician and astronomer from the 9th century.
Number of Questions: 14
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Tags: indian mathematics medieval period govindasvāmin
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Govindasvāmin's most significant work is known as:

  1. Bhatapala-chandrika

  2. Lilavati

  3. Aryabhatiya

  4. Siddhanta-siromani


Correct Option: A
Explanation:

Bhatapala-chandrika is Govindasvāmin's primary mathematical treatise, focusing on arithmetic, algebra, and geometry.

In Bhatapala-chandrika, Govindasvāmin introduced a novel method for solving quadratic equations. This method is known as:

  1. Completing the Square

  2. Quadratic Formula

  3. Bhaskara's Method

  4. Ruffini's Rule


Correct Option: A
Explanation:

Govindasvāmin's method for solving quadratic equations involves completing the square, a technique that transforms the equation into a perfect square trinomial.

Govindasvāmin's work on indeterminate equations, particularly linear Diophantine equations, is notable for introducing the concept of:

  1. Continued Fractions

  2. Pell's Equation

  3. Brahmagupta's Identity

  4. Fermat's Last Theorem


Correct Option: A
Explanation:

Govindasvāmin's exploration of indeterminate equations led to the introduction of continued fractions, a method for representing rational numbers as infinite series of fractions.

In his astronomical treatise, Govindasvāmin proposed a model for planetary motion known as:

  1. Geocentric Model

  2. Heliocentric Model

  3. Tychonic Model

  4. Keplerian Model


Correct Option: A
Explanation:

Govindasvāmin's astronomical work was based on the geocentric model, which places the Earth at the center of the universe and the planets revolving around it.

Govindasvāmin's contributions to mathematics and astronomy were primarily influenced by the works of:

  1. Aryabhata

  2. Brahmagupta

  3. Bhaskara II

  4. Varahamihira


Correct Option: B
Explanation:

Govindasvāmin's mathematical and astronomical ideas were heavily influenced by the work of Brahmagupta, a renowned Indian mathematician and astronomer from the 7th century.

Govindasvāmin's work on indeterminate equations was later expanded and refined by:

  1. Bhaskara II

  2. Aryabhata II

  3. Varahamihira

  4. Srinivasa Ramanujan


Correct Option: A
Explanation:

Bhaskara II, a renowned Indian mathematician from the 12th century, further developed and refined Govindasvāmin's work on indeterminate equations.

Govindasvāmin's astronomical model was eventually superseded by the work of:

  1. Nicolaus Copernicus

  2. Galileo Galilei

  3. Johannes Kepler

  4. Isaac Newton


Correct Option: A
Explanation:

The geocentric model proposed by Govindasvāmin was later challenged and replaced by the heliocentric model introduced by Nicolaus Copernicus in the 16th century.

Govindasvāmin's contributions to mathematics and astronomy were primarily written in:

  1. Sanskrit

  2. Prakrit

  3. Tamil

  4. Kannada


Correct Option: A
Explanation:

Govindasvāmin's mathematical and astronomical treatises were written in Sanskrit, the classical language of ancient India.

Govindasvāmin's work on indeterminate equations had practical applications in:

  1. Number Theory

  2. Algebraic Geometry

  3. Cryptography

  4. Financial Mathematics


Correct Option: A
Explanation:

Govindasvāmin's exploration of indeterminate equations primarily contributed to the field of number theory, focusing on the properties and behavior of integers.

Govindasvāmin's astronomical model was based on the assumption that:

  1. Planets move in circular orbits

  2. Planets move in elliptical orbits

  3. Planets move in parabolic orbits

  4. Planets move in hyperbolic orbits


Correct Option: A
Explanation:

Govindasvāmin's geocentric model assumed that the planets move in circular orbits around the Earth.

Govindasvāmin's method for solving quadratic equations is also known as:

  1. Bhatapala's Method

  2. Brahmagupta's Method

  3. Bhaskara's Method

  4. Ruffini's Rule


Correct Option: A
Explanation:

Govindasvāmin's method for solving quadratic equations is often referred to as Bhatapala's Method, named after the mathematician Bhatapala, who was Govindasvāmin's patron.

Govindasvāmin's work on indeterminate equations was influenced by the mathematical traditions of:

  1. Babylonian Mathematics

  2. Greek Mathematics

  3. Chinese Mathematics

  4. Egyptian Mathematics


Correct Option: A
Explanation:

Govindasvāmin's exploration of indeterminate equations was influenced by the mathematical traditions of ancient Babylonia, particularly their work on linear Diophantine equations.

Govindasvāmin's astronomical model was later criticized by:

  1. Aryabhata II

  2. Bhaskara II

  3. Varahamihira

  4. Srinivasa Ramanujan


Correct Option: A
Explanation:

Aryabhata II, an Indian mathematician and astronomer from the 10th century, criticized Govindasvāmin's geocentric model and proposed a heliocentric model instead.

Govindasvāmin's work on indeterminate equations was later generalized and extended by:

  1. Bhaskara II

  2. Aryabhata II

  3. Varahamihira

  4. Srinivasa Ramanujan


Correct Option: A
Explanation:

Bhaskara II, a renowned Indian mathematician from the 12th century, generalized and extended Govindasvāmin's work on indeterminate equations, making significant contributions to the field.

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