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Contributions of Indian Mathematicians to Calculus

Description: Contributions of Indian Mathematicians to Calculus
Number of Questions: 14
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Tags: indian mathematics calculus history of mathematics
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Who is considered as the father of Indian mathematics?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Srinivasa Ramanujan


Correct Option: A
Explanation:

Aryabhata is often referred to as the father of Indian mathematics due to his significant contributions to various mathematical fields, including calculus.

Which Indian mathematician developed the concept of the derivative?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Srinivasa Ramanujan


Correct Option: B
Explanation:

Bhaskara II, also known as Bhaskaracharya, is credited with developing the concept of the derivative in the 12th century.

What is the name of the method developed by Indian mathematicians to find the area of a curved surface?

  1. Trapezoidal Rule

  2. Simpson's Rule

  3. Midpoint Rule

  4. Gauss-Legendre Quadrature


Correct Option: A
Explanation:

Indian mathematicians developed the Trapezoidal Rule, a method for approximating the area of a curved surface by dividing it into trapezoids.

Which Indian mathematician contributed to the development of the concept of the integral?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Srinivasa Ramanujan


Correct Option: C
Explanation:

Brahmagupta made significant contributions to the development of the concept of the integral, particularly in the context of finding the area of irregular figures.

What is the name of the series expansion method developed by Indian mathematicians for approximating the value of a function?

  1. Taylor Series

  2. Maclaurin Series

  3. Fourier Series

  4. Chebyshev Series


Correct Option: A
Explanation:

Indian mathematicians developed the Taylor Series expansion method, which allows for approximating the value of a function using its derivatives.

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

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Srinivasa Ramanujan


Correct Option: C
Explanation:

Brahmagupta made significant contributions to the theory of interpolation, developing methods for approximating the value of a function at intermediate points.

Which Indian mathematician is credited with developing the concept of the mean value theorem?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Srinivasa Ramanujan


Correct Option: B
Explanation:

Bhaskara II is credited with developing the concept of the mean value theorem, which states that there exists a point on the graph of a function where the tangent line is parallel to the secant line.

What is the name of the method developed by Indian mathematicians for solving differential equations?

  1. Euler's Method

  2. Runge-Kutta Method

  3. Heun's Method

  4. Adams-Bashforth Method


Correct Option: A
Explanation:

Indian mathematicians developed Euler's Method, a numerical method for approximating the solution of a differential equation.

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

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Srinivasa Ramanujan


Correct Option: B
Explanation:

Bhaskara II made significant contributions to the theory of limits, developing methods for determining the limit of a sequence or a function.

Which Indian mathematician is credited with developing the concept of the Rolle's theorem?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Srinivasa Ramanujan


Correct Option: B
Explanation:

Bhaskara II is credited with developing the concept of the Rolle's theorem, which states that if a function is continuous on a closed interval and differentiable on the open interval, then there exists a point in the open interval where the derivative is zero.

What is the name of the method developed by Indian mathematicians for finding the roots of a polynomial equation?

  1. Newton's Method

  2. Bisection Method

  3. False Position Method

  4. Secant Method


Correct Option: C
Explanation:

Indian mathematicians developed the False Position Method, a numerical method for approximating the roots of a polynomial equation.

Who is known for his work on the theory of infinite series?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Srinivasa Ramanujan


Correct Option: D
Explanation:

Srinivasa Ramanujan made significant contributions to the theory of infinite series, discovering new and remarkable identities and formulas.

Which Indian mathematician is credited with developing the concept of the gamma function?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Srinivasa Ramanujan


Correct Option: D
Explanation:

Srinivasa Ramanujan is credited with developing the concept of the gamma function, which is a generalization of the factorial function to complex numbers.

What is the name of the method developed by Indian mathematicians for solving trigonometric equations?

  1. Newton's Method

  2. Bisection Method

  3. False Position Method

  4. Regula Falsi Method


Correct Option: D
Explanation:

Indian mathematicians developed the Regula Falsi Method, a numerical method for approximating the roots of a trigonometric equation.

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