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i want it as soon as possible coz eid is near n i wont get time 2 finish my assignment 4 my school project.

2006-10-20 00:16:39 · 4 answers · asked by pari_rooh 1 in Science & Mathematics Mathematics

4 answers

.Aryabhatta was a great Indian mathematician. He was born in 476 BC in Kerala.

After completing his studies at the University of Nalanda, he wrote a book, Aryabhatiya in 499 BC. This book, written in verse, was the summary of Hindu mathematics up to that time. It covered astronomy, spherical trigonometry, arithmetic, algebra and plane trigonometry. Aryabhatta gave formulae for the areas of a triangle and a circle correctly, but the formulae for the volumes of a sphere and a pyramid given by him were wrong. His work was recognised as a masterpiece, and the then Gupta ruler, Buddhagupta, made him the Head of the University.

Aryabhatta was the first to deduce that the Earth is round and that it rotates on its own axis, creating day and night. He declared that the moon is dark and shines only because of sunlight. Solar and lunar eclipses, he believed, occured not because Rahu gobbled the sun and the moon, as the Hindu mythology claimed, but because of the shadows cast by the Earth and the moon.

He, however, believed in the geocentric concept of the universe that the Earth is the center of the universe.

In mathematics, Aryabhatta's contribution was equally valuable. He gave the value of pi as 3.1416 claiming, for the first time, that it was an approximation. He was the first mathematician to give what later came on to be called the 'table of the sines'

2006-10-20 00:19:22 · answer #1 · answered by Friend 6 · 0 1

Indian mathematics—which here is the mathematics that emerged in South Asia[1] from ancient times until the end of the 18th century—had its beginnings in the Bronze Age Indus Valley civilization (2600-1900 BC) and the Iron Age Vedic culture (1500-500 BC). In the classical period of Indian mathematics (400 AD to 1200 AD), important contributions were made by scholars like Aryabhatta, Brahmagupta, and Bhaskara II. Indian mathematicians made early contributions to the study of the decimal number system,[2] zero,[3] negative numbers,[4] arithmetic, and algebra.[5] In addition, trigonometry, having evolved in the Hellenistic world and having been introduced into ancient India through the translation of Greek works,[6] was further advanced in India, and, in particular, the modern definitions of sine and cosine were developed there.[7] These mathematical concepts were transmitted to the Middle East, China, and Europe[5] and led to further developments that now form the foundations of many areas of mathematics. Ancient and medieval Indian mathematical works, all composed in Sanskrit, usually consisted of a section of sutras in which a set of rules or problems were stated with great economy in verse in order to aid memorization by a student. This was followed by a second section consisting of a prose commentary (sometimes multiple commentaries by different scholars) that explained the problem in more detail and provided justification for the solution. In the prose section, the form (and therefore its memorization) was not considered as important as the ideas involved.[8][1] All mathematical works were orally transmitted until approximately 500 BCE; thereafter, they were transmitted both orally and in manuscript form. The oldest extant mathematical document produced on the Indian subcontinent is the birch bark Bakhshali Manuscript, discovered in 1881 in the village of Bakhshali, near Peshawar (modern day Pakistan) and is likely from the seventh century CE.[9][10] A later landmark in Indian mathematics was the development of the series expansions for trigonometric functions (sine, cosine, and arc tangent) by mathematicians of the Kerala School in the fifteenth century CE. Their remarkable work, completed two centuries before the invention of calculus in Europe, provided what is now considered the first example of a power series (apart from geometric series).[11] However, they did not formulate a systematic theory of differentiation and integration, nor is there any direct evidence of their results being transmitted outside Kerala.[12][13][14][15]

2016-05-22 04:48:04 · answer #2 · answered by Anonymous · 0 0

ramanujan, one of the geniuses of the 20th century. lots of work on number theory. see link below

2006-10-20 01:04:33 · answer #3 · answered by tsunamijon 4 · 1 0

Have a look at this fellow:

http://en.wikipedia.org/wiki/Aryabhata

2006-10-20 00:22:24 · answer #4 · answered by Stuart T 3 · 0 0

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