Ancient Indian mathematicians made significant contributions to the discipline of mathematics. The creation of zero is ascribed to Indians, and this contribution exceeds all others because it forms the foundation of the decimal number system, without which no mathematical growth would have been conceivable. The modern number system was established by Indians, and it is still known as Indo-Arabic numerals since Indians invented them and Arab traders brought them to the western world. This article will explain to you about the Indian Mathematicians and their Contributions which will be helpful in Ancient History preparation for the UPSC Civil service exam.

Indian Mathematicians

Mathematician	Contributions
Aryabhatta ( 476 AD to 550 AD )	At the time, he wrote Aryabhattiya, a mathematical compendium. It's broken into four sections. In the first section, he explains how to represent huge decimal numbers using alphabets. The second part of the book comprises difficult questions from contemporary fields of mathematics such as number theory, geometry, trigonometry, and algebra. He denied that our globe is 'Achala' (immovable) and said that 'the earth is round and revolves on its own axis.' He established, through instances, that the appearance of the sun travelling from east to west is wrong. When a person travels by boat, the trees on the coast appear to move in the other direction. He also stated that the moon and planets are lighted by reflected sunlight, which has since been proved. He may have envisaged the orbits of the planets to be elliptical rather than circular. Aryabhata correctly asserted, contrary to popular opinion at the time, that the planet rotates on its axis on a regular basis and that the apparent movement of the stars is produced by the rotation of the globe.
Varahamihira (6th Century)	One of Varahamihira's most notable works was the Brihat Samhita, an encyclopaedic study of architecture, temples, planetary motions, eclipses, timekeeping, astrology, seasons, cloud formation, rainfall, agriculture, arithmetic, gemology, scents, and many other topics. While Varahamihira summarised previous works on astronomy, the Shilpa Sastra, and temple architecture in some lines, he argues that his explanation of numerous architectural principles and models is among the earliest books that have remained. The discovery of trigonometric equations was one of Varahamihira's mathematical accomplishments. He improved the precision of Aryabhata's sine tables. He defined the algebraic properties of zero, negative numbers, and positive and negative numbers.
Baudhayana (800 BC - 740 BC)	Baudhayana discovered Pythagoras at least 1000 years before his birth. According to a shloka from the Sulbasutra, he had the concept for the Pythagoras theorem in his thoughts before the Pythagoras was really formed. He wasn't a scribe like Ahmes, who just copied papers, nor a mathematician in the contemporary sense. He would have had a very high level of education, but he was most likely just interested in using mathematics to support his religious ideas, not for its own purpose. The lettering makes it clear that Baudhayana was a brilliant craftsman as well as a priest. He must have been skilled in the application of the mathematics he explained as a master artisan who built the greatest grade sacrificial altars himself.
Brahmagupta (598 to 668 CE)	The Brahmasphutasiddhanta is Brahmagupta's principal work, written in or about 628. This mathematical astronomy book covers a significant amount of mathematical content, such as a thorough comprehension of the function of zero. When he was thirty years old, he composed the Brahmasphutasiddhanta (the improved treatise of Brahma), which is claimed to be a revised version of the approved siddhanta of the Brahmaraksha school. Brahmagupta offered the solution to the general linear equation in chapter eighteen of Brahmasphutasiddhanta. Many cultures knew the four basic operations before Brahmagupta: addition, subtraction, multiplication, and division. The current system, which is based on the Hindu-Arabic number system, originated in the Brahmasphutasiddhanta.
Bhaskaracharya ( 12th century AD )	Bhaskaracharya, the leader of a cosmic observatory at Ujjain, ancient India's principal mathematical centre, was a member of the Hindu Deshastha Brahmin family of philosophers, mathematicians, and astronomers. Siddhanta-Siromani, his main work, is divided into four portions, which are frequently regarded as four different works and are titled Lilavati, Bijagaita, Grahagaita, and Goladhyaya. In that sequence, these four parts address arithmetic, algebra, planetary mathematics, and spheres. He gained a grasp of numerical systems and problem solving that Europe would take generations to achieve. Bhaskara developed the first calculus about 500 years before Newton and Leibniz. Calculated derivatives for trigonometric formulae and functions. To show the Pythagorean theorem, compute the same area using two alternative approaches. After learning about the derivative and differential coefficient, differential calculus was established. Lilavati explains how to solve indeterminate quadratic, cubic, and quadratic equations.

Conclusion

Ancient Indian mathematicians contributed significantly to the study of mathematics. India is home to some of the world's most brilliant brains. India has been a pioneer in all sectors, from literature and science to art and theatre, thanks to immensely gifted individuals who have made the country proud. Mathematics, as a science, remains vital in the globe, and this blog examines some of the world's most notable Indian mathematicians and their contributions to the field.

GS Mains Questions and Model Answers

Q1: Discuss the contributions of ancient Indian mathematicians to algebra and trigonometry.

Answer: Ancient Indian mathematicians like Aryabhata introduced trigonometric functions such as sine and cosine. Bhaskara II worked on solving quadratic equations and presented algebraic solutions to complex mathematical problems.

Q2: Analyze the impact of Indian mathematicians on modern mathematics.

Answer: Indian mathematicians, especially Ramanujan, profoundly impacted modern mathematics by contributing to number theory, infinite series, and modular functions. His work continues to inspire mathematical research globally.

Q3: Examine the significance of zero in ancient Indian mathematics.

Answer: The concept of zero, introduced by Indian scholars like Brahmagupta, revolutionized mathematics. It enabled the development of modern arithmetic and algebra, forming the foundation for advanced scientific calculations.

Previous Year Questions on Indian Mathematicians and their Contributions

1. UPSC CSE 2019

Question: "Explain how the concept of zero revolutionized mathematics."

Answer: The introduction of zero allowed mathematicians to perform more complex calculations and paved the way for the binary system used in computers. It also made algebraic equations solvable, expanding the scope of mathematics.

2. UPSC CSE 2021

Question: "What are the contributions of Aryabhata in mathematics and astronomy?"

Answer: Aryabhata calculated the value of pi, introduced the concept of sine in trigonometry, and proposed a heliocentric model of the solar system. His work bridged mathematics and astronomy, influencing future studies in both fields.