Hari Om All!
Below is a continuation to the earlier posts. The matter has been taken from our facebook page www.facebook.com/VedicMathematicsCourse
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.
With Prem & Om,