INDIAN MATHEMATICIANS AND THEIR CONTRIBUTIONS

September 19, 2026

 Ancient Indian mathematicians made significant contributions to the subject of mathematics, expanding its scope and scope of application. Because it is the foundation of the decimal number system, the development of zero is credited to Indian academics. This contribution is unprecedented because it is the foundation of the decimal number system, which makes any breakthrough in mathematics unimaginable without it. 

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)

  • While Varahamihira summarized 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.

Baudhayana (800 BC - 740 BC)

  • 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 ) 

  • 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. 
  • 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 

  • 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.