Contributions of ramanujan and aryabhata to

Disdaining indirect proofs anticipating later-day constructivists Menelaus found new, more fruitful proofs for several of Euclid's results. There are ingenious solutions available with other tools.

Partition of whole numbers is another similar problem that captured ramanujan attention. Learn More in these related Britannica articles: He gave the sum of a series whose terms are squares of an arithmetical progression and empirical rules for area and perimeter of an ellipse.

He formulated the rule known as Fechner's law, that, within limits, the intensity of a sensation increases as the logarithm of the stimulus.

Some occultists treat Pythagoras as a wizard and founding mystic philosopher.

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According to Aristotle, Thales hypothesized the origin of all nature and matter to be water. He also contributed much to spherical trigonometry.

She is patient under abuse. Furthermore, he was the first scholarly figure in the Western world to be involved in scientific philosophy.

Contributions of ramanujan and aryabhata to mathematics Essay Sample

In elementary geometry there are two theorems of Thales. He used kuttuka method to solve problems. The advanced artifacts of Egypt's Old Kingdom and the Indus-Harrapa civilization imply strong mathematical skill, but the first written evidence of advanced arithmetic dates from Sumeria, where year Contributions of ramanujan and aryabhata to clay tablets show multiplication and division problems; the first abacus may be about this old.

Let pk and Pk denote the perimeters of regular polygons of k sides that are inscribed and circumscribed about the same circle, respectively. Some of Archimedes' work survives only because Thabit ibn Qurra translated the otherwise-lost Book of Lemmas; it contains the angle-trisection method and several ingenious theorems about inscribed circles.

Ptolemy discussed and tabulated the 'equation of time,' documenting the irregular apparent motion of the Sun. Like Newton, he favored a particle theory of light over the wave theory of Aristotle.

Archytas introduced "motion" to geometry, rotating curves to produce solids. He was also of the view that all matter was alive because of the movement of iron due to magnetic field and all that moved contained life. Constructing the eight circles each tangent to three other circles is especially challenging, but just finding the two circles containing two given points and tangent to a given line is a serious challenge.

Inin the New Yorker magazine, he was one of the first to warn that DDT could drive fish, frogs, and birds extinct. N Watson, from topublished 14 papers under the general title theorems stated by Ramanujan and in all he published nearly 30 papers which were inspired by ramanjan work.

Rabbi Nehemiah explained this in his Mishnat ha-Middot the earliest known Hebrew text on geometryca. From Watts to Washington, by Glenn T.

Thales ventured into scientific and theoretical explanation of natural phenomena while his contemporaries relied upon Greek myths to support their theories.

Contribution Of Ramanujan In The Field Mathematics

This construction which introduced the Archytas Curve has been called "a tour de force of the spatial imagination. This theorem has many useful corollaries; it was frequently applied in Copernicus' work.

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Some of this may have been added after the time of Chang; some additions attributed to Liu Hui are mentioned in his mini-bio; other famous contributors are Jing Fang and Zhang Heng.

But these teachings lay dormant during Europe's Dark Ages, diminishing Pappus' historical significance. Although Qin was a soldier and governor noted for corruption, with mathematics just a hobby, I've chosen him to represent this group because of the key advances which appear first in his writings.

By years ago, Mesopotamian tablets show tables of squares, cubes, reciprocals, and even logarithms and trig functions, using a primitive place-value system in base 60, not Physics can progress without the proofs, but we can't go on without the facts His writings cover a very broad range including new theorems of geometry, methods to construct and convert Egyptian fractions which were still in wide useirrational numbers, the Chinese Remainder Theorem, theorems about Pythagorean triplets, and the series 1, 1, 2, 3, 5, 8, 13, His most famous, yet controversial, work was in probability theory.

This led to a fascination with integers and mystic numerology; he is sometimes called the "Father of Numbers" and once said "Number rules the universe.Aryabhata (IAST: Āryabhaṭa) or Aryabhata I (– CE) was the first of the major mathematician-astronomers from the classical age of Indian mathematics and Indian works include the Āryabhaṭīya ( CE, when he was 23 years old) and the Arya-siddhanta.

But the most significant contributions are Ramanujan Prime, Ramanujan Theta function, Ramanujan-Soldner constant, Ramanujan's sum etc.

Mathematical and Scientific Contributions of S.

Famous Indian Mathematicians Profile and Contributions

Ramanujan According to an eminent mathematicians, all the numbers were actually the intimate friends of S. Ramanujan. Aryabhatta, also known as Aryabhatta I or Aryabhata (?), was a famous Indian mathematician and astronomer, born in a place called Taregana, in Bihar (though some people do not agree with the evidence).

Taregana (also spelled as Taragna) which literally means songs of stars in Bihari, is a small place situated nearly 30 km from Patna, which was then known as Kusumpura later Pataliputra. In Ganitapada 6, Aryabhata gives the area of a triangle as tribhujasya phalashariram samadalakoti bhujardhasamvargah that translates to: "for a triangle, the result of a perpendicular with the halfside is the area." Aryabhata discussed the concept of sine in his work by the name of ardha-jya.

Literally, it means "half-chord".4/4(9). Approximations for the mathematical constant pi (π) in the history of mathematics reached an accuracy within % of the true value before the beginning of the Common Era ().In Chinese mathematics, this was improved to approximations correct to what corresponds to about seven decimal digits by the 5th century.

Srinivasa Ramanujan

Further progress was not made until the 15th century (Jamshīd al-Kāshī). Jul 26,  · Aryabhatta was one of those ancient scholars of India who is hardly surpassed by any one else of his time in his treatise on mathematics and astronomy. In appreciation of his great contributions to mathematics and astronomy, the government of India named the first satellite sent into space on as aryabhatta, after him.

Contributions of ramanujan and aryabhata to
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