Mahaviracharya

• • • • Question:Mahaviracharya was a 9th-century mathematician possibly born in Mysore, in India. He authored Gannitasārasan̄graha or the Compendium on the gist of Mathematics in 850AD. It is the earliest Indian text entirely devoted to mathematics. He expounded on the same subjects on which Aryabhata and Brahmagupta contended, but he expressed them more clearly. His work Mahaviracharya was a 9th-century mathematician possibly born in Mysore, in India. He authored Gannitasārasan̄graha or the Compendium on the gist of Mathematics in 850 AD. It is the earliest Indian text entirely devoted to mathematics. He expounded on the same subjects on which Aryabhata and Brahmagupta contended, but he expressed them more clearly. His work is a highly syncopated approach to algebra and the emphasis in much of his text is on developing the techniques necessary to solve algebraic problems. He is highly respected among Indian mathematicians, because of his establishment of terminology for concepts such as equilateral, and isosceles triangle; rhombus; circle and semicircle. [ 7 ] Mahāvīra's eminence spread throughout South India and his books proved inspirational to other mathematicians in Southern India. (From Wikipedia) Solve the following problem posed by Mahaviracarya in 850 AD. There were 63 equal piles of plantain fruit put together and 7 single fruits. They were divided evenly among 23 travelers. What is the number of fruits in each pile? Previous question Next question

SHOW ALL QUESTIONS Mahāvīra (or Mahaviracharya, "Mahavira the Teacher") was a 9th-century [1] [2] [3] He authored Ganita Sara Sangraha) or the Compendium on the gist of Mathematics in 850 AD. [4] He was patronised by the [4] He separated [5] He expounded on the same subjects on which [6] He is highly respected among Indian mathematicians, because of his establishment of [7] Mahāvīra's eminence spread throughout South India and his books proved inspirational to other mathematicians in [8] It was translated into the Saara Sangraha Ganitamu. [9] 9th-century Indian mathematician He discovered algebraic identities like a 3 = a ( a + b) ( a − b) + b 2 ( a − b) + b 3. [3] He also found out the formula for nC r as [ n ( n − 1) ( n − 2) ... ( n − r + 1)] / [ r ( r − 1) ( r − 2) ... 2 * 1]. [10] He devised a formula which approximated the area and perimeters of ellipses and found methods to calculate the square of a number and cube roots of a number. [11] He asserted that the [12]

You will be surprised to know that a lot of scientific knowledge was evolved in ancient India, so many years ago. During this period Science and Mathematics were highly developed and Ancient Indians had contributed immensely. Ayurveda is the indigenous system of medicine that was developed in Ancient Period. Even the science of Yoga was also developed as an allied science of Ayurveda. In this article we will see the contributions of some scientists of ancient India. You will be surprised to know that a lot of scientific knowledge was evolved in ancient India, so many years ago. During this period Science and Mathematics were highly developed and Ancient Indians had contributed immensely. Medical Science was also highly developed at that time. Ayurveda the science of good health and longevity of life is the indigenous system of medicine that was developed in Ancient Period. Even the science of Yoga was also developed as an allied science of Ayurveda for healing without medicine at the physical and mental level. So, in this article we will see the contributions of some scientists of ancient India. 5 Scientists from Ancient India 1. Aryabhatta - He was a fifth century mathematician, astronomer, astrologer and physicist. - At the age of 23, he wrote Aryabhattiya which is a summary of mathematics of his time. - First time he had calculated the value of pi at 3.1416. - He showed that zero was not a numeral only but also a symbol and a concept. Infact the discovery of zero enable...

This article needs additional citations for Please help Find sources: · · · · ( March 2021) ( Gaṇita-sāra-saṅgraha Information Religion Author Language Period 9th century Gaṇitasārasan̄graha (Compendium on the gist of Mathematics) is a mathematics text written by Structure [ ] • Sangyaādhikāra (Terminology) • Parikarmavyāvhār (Arithmetical operations) • Kālaswarnavyavhār (Fractions) • Prakīrñakvyavhār (Miscellaneous problems) • Trairāshik (Rule of three) • Miśravyavhār (Mixed problems) • Kśetragaṇit vyavhār (Measurement of Areas) • Khātvyavhār (calculations regarding excavations) • Chāyāvyavhār (Calculations relating to shadows) Quotes [ ] The work praises mathematics as follows: लघुकरणोहापोहानालस्यग्रहणधारणोपायैः। व्यक्तिकरांकविशिष्टैर् गणकोऽष्टाभिर् गुणैर् ज्ञेयः॥ Meaning: A mathematician is to be known by eight qualities: conciseness, inference, confutation, vigour in work and progress, comprehension, concentration of mind and by the ability of finding solutions and uncovering quantities by investigation. References [ ]