Indian Mathematics
Foundations of Calculus
Infinite Series
100

The Kerala School was based in this modern-day Indian state.

What is Kerala?

100

This branch of math studies how things change and how areas and curves are measured.

What is Calculus?

100

This is a sum of numbers that keeps going forever.

What is an Infinite Series?

200

This was the school of Indian scholars that worked on early calculus ideas in the 1300s–1500s.

What is the Kerala School?

200

In calculus, this tells you how fast something is changing. For example, finding the slope at some given point.

What is a Derivitive?

200

Madhava used an infinite series to find this number related to circles.

What is pi?

300

This Indian mathematician from Kerala found ways to calculate pi using series.

Who is Madhava?

300

This operation in calculus helps find areas under curves.

What is an Integral?

300

Who came up with infinite series?

Who is Madava

400

He improved the work of Madhava and wrote about planets using math.

Who is Nilakantha Somayaji?

400

Calculus often uses this idea to get closer and closer to a number.

What is a limit?

400

This time period is when Madava came up with the infinite series.

What is 1300CE - 1600CE?

500

This Kerala School scholar wrote a book that explained calculus-like ideas in Malayalam and supported step by step explanations

Who is Jyeshthadeva?

500

Before calculus was invented in Europe, Indian mathematicians used this method to get close answers.

What is an Approximation?

500

An infinite series for this wavy function helped describe motion.

What is sine?

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