Q. Which of the following pairs are correctly matched?
Mathematicians —Contribution
1. Madhava — Discovered the infinite series for pi (π)
2. Aryabhata ——Pythagorean theorem
3. Brahmagupta —— Law of composition for solving quadratic indeterminate equations.
Select the correct answer using the codes given below:
Contributions of Indian Mathematicians
Sulbasutras(∼ 800 BCE): It is the oldest extant text. It explicitly states and makes use of the so-called Pythagorean theorem, besides giving various interesting approximations to surds.
Pingala’s Chandassastra (∼ 3rd cent. BCE): It lays foundations for various combinatorial techniques. (Knowledge of combinatorics is necessary to build a solid command of statistics).
Aryabhata (c. 499 CE): He described algorithms for extracting square root and cube root based on the decimal place-value system. He also presented the differential equation of the sine function in its finite-difference form and a method for solving the linear indeterminate equation.
Brahmagupta(c. 628): He discussed the arithmetic operations with zero. He also introduced the profound ‘bhavana’ law of composition for solving quadratic indeterminate equations.
Madhava (c. 1340–1420): He pioneered the Kerala School of astronomy and mathematics. He also discovered the infinite series for pi (π)—the so-called Gregory-Leibniz series)—and other trigonometric functions.
