## Development of Mathematics in India

The birth of Mathematics in India can be traced back to the **Vedas**. Vedas are the storehouses of knowledge in India that contains knowledge on different sciences, mathematics, philosophy, and other subjects. Mathematical parts covered in the Vedic literature include topics like number systems, arithmetic, geometry, progression and astronomy.

The Vedas are not books written by any single author; rather it is a collection of all the knowledge that was revealed to different Rishis (seers) during their heights of contemplation and meditation. Initially, the knowledge was not available in a book-form; it was passed on from generation to the generation by word of mouth from the teacher to the student. Somewhere back in history, sage Vyasa (a great seer and visionary) took up the task to compile all the existing knowledge into four volumes – Rgveda, Yajurveda, Samaveda and Atharvaveda. The exact date of the Vedas is not known. Historians have tried giving rough estimates but it differs in view among different persons.

To study the Vedas, study of **Vedangas** (Veda + Anga, Anga means ‘parts of the body’) was necessary. Vedangas can be classified into six branches viz., *Shiksha* (phonetics), *Kalpam* (rituals), *Vyakaranam* (grammar),*Chandas* (Prosody), *Niruktam* (Etymology) and *Jyotisham* (Astronomy). Among these, knowledge of mathematics was covered mainly in *Kalpam* & *Jyotisham*, and also to some extent in *Chandas*.

**Kalpam** was further subdivided into four:

- Srauta Sutras – dealing with rituals such as Yagas & Yagnas (sacrifices)
- Grihya Sutras – rituals to be observed by a householder.
- Dharma Sutras – pertaining to law and order
**Sulva Sutras**– dealing with guidelines of preparation of sacrificial altars (homa kundas) which also happen to be the most ancient treatises available on Geometry.

**Jyotisham** covered the science of astronomy (not astrology which came much later) which included mathematics. The birth of trigonometry and calculus was mainly through Jyotisham.

**Mathematics (Ganitam)** was never a different branch of science. It got developed as a different branch of study much later mainly from the knowledge in Sulva Sutras and Jyotisham. The ancient Indian mathematicians from the time of Aryabhatta-I (476-550 CE), gradually divided mathematics further into various branches like Arithmetic, Algebra, Trigonometry, Combinatorics, Astronomy, etc. in their treatises.

*Spokes of the wheel acts as a sun dial to show exact time. Sun dials was an early development in India. The above sun dial is from the Konark Sun temple.*