Madhava and the Kerala School's Calculus Predecessors
This quiz tests knowledge about Madhava of Sangamagrama and the Kerala school's pioneering contributions to early calculus, including infinite series for trigonometric functions and pi approximations.
Questions
Which Indian mathematician is credited with developing the concept of the derivative?
- Aryabhata
- Bhaskara II
- Madhava of Sangamagrama
- Srinivasa Ramanujan
What is the name of the series developed by Madhava of Sangamagrama that is used to approximate the value of pi?
- Madhava series
- Gregory series
- Leibniz series
- Taylor series
Who is considered to be the founder of the Kerala school of mathematics?
- Aryabhata
- Bhaskara II
- Madhava of Sangamagrama
- Nilakantha Somayaji
Which Indian mathematician is credited with developing the concept of the integral?
- Aryabhata
- Bhaskara II
- Madhava of Sangamagrama
- Srinivasa Ramanujan
What is the name of the method developed by Madhava of Sangamagrama for approximating the area under a curve?
- Trapezoidal rule
- Simpson's rule
- Monte Carlo method
- Euler's method
Who is considered to be the last major mathematician of the Kerala school of mathematics?
- Aryabhata
- Bhaskara II
- Madhava of Sangamagrama
- Jyeshtadeva
What is the name of the series developed by Nilakantha Somayaji that is used to approximate the value of pi?
- Madhava series
- Gregory series
- Leibniz series
- Nilakantha series
Which Indian mathematician is credited with developing the concept of the infinite series?
- Aryabhata
- Bhaskara II
- Madhava of Sangamagrama
- Srinivasa Ramanujan
Which Indian mathematician is credited with developing the concept of the Taylor series?
- Aryabhata
- Bhaskara II
- Madhava of Sangamagrama
- Srinivasa Ramanujan
What is the name of the series developed by Madhava of Sangamagrama that is used to approximate the value of sine?
- Madhava series
- Gregory series
- Leibniz series
- Taylor series
Which Indian mathematician is credited with developing the concept of the cosine series?
- Aryabhata
- Bhaskara II
- Madhava of Sangamagrama
- Srinivasa Ramanujan
What is the name of the series developed by Madhava of Sangamagrama that is used to approximate the value of tangent?
- Madhava series
- Gregory series
- Leibniz series
- Taylor series
Which Indian mathematician is credited with developing the concept of the cotangent series?
- Aryabhata
- Bhaskara II
- Madhava of Sangamagrama
- Srinivasa Ramanujan