Aryabhata Introduction
1. The problem: Provide a brief introduction to the Indian mathematician Aryabhata and his notable contributions.
2. Aryabhata was an ancient Indian mathematician and astronomer, born in 476 CE. He is known for significant contributions to mathematics and astronomy.
3. One of his major contributions in mathematics is the introduction of the concept of zero and the place value system, which is fundamental to our modern number system.
4. Aryabhata also formulated an approximation of $\pi$ (pi) and gave the value as 3.1416, one of the earliest accurate values.
5. He authored the Aryabhatiya, a text that covers arithmetic, algebra, plane trigonometry, and spherical trigonometry, introducing innovative methods for solving equations.
6. In astronomy, Aryabhata explained the Earth's rotation on its axis and calculated the length of the solar year with remarkable accuracy.
7. His work laid a foundation that influenced later mathematicians in India and worldwide.
Final answer: Aryabhata was a pioneering Indian mathematician and astronomer who introduced the place value system, gave an accurate approximation of $\pi$, contributed to algebra and trigonometry, and explained Earth's rotation and solar year calculation.