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What are the contributions of Ramanujan in the field of mathematics?

Posted on August 26, 2022 by Author

Table of Contents

  • 1 What are the contributions of Ramanujan in the field of mathematics?
  • 2 What contribution did aryabhata make in the field of science and mathematics?
  • 3 What is the contribution of aryabhatta in mathematics wiki?
  • 4 What is the contribution of Archimedes in mathematics?
  • 5 Who invented zero aryabhatta or Brahmagupta?
  • 6 What are the contributions of Indian mathematicians?
  • 7 What contributions did Aryabhata make to math and science?
  • 8 How accurate is Aryabhata’s value of Pi?

What are the contributions of Ramanujan in the field of mathematics?

Srinivasa Ramanujan

Srinivasa Ramanujan FRS
Known for Landau–Ramanujan constant Mock theta functions Ramanujan conjecture Ramanujan prime Ramanujan–Soldner constant Ramanujan theta function Ramanujan’s sum Rogers–Ramanujan identities Ramanujan’s master theorem Ramanujan–Sato series
Awards Fellow of the Royal Society

What are the contributions of aryabhatta in mathematics?

Contribution in the approximation of pi Aryabhatta is among the mathematicians who brought new deductions and theories in mathematics and astronomy. His contribution to the mathematics is unmatched and cannot be ignored, as he was the one who deduced the approximate value of pi, which he found it to be 3.14.

What contribution did aryabhata make in the field of science and mathematics?

Aryabhatta discovered zero decimal system and calculated the value of pi (3.1416) and area of a triangle in mathematics; a movement of earth and sun in the astronomy.

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What was brahmagupta’s contribution in mathematics?

Brahmagupta (ad 628) was the first mathematician to provide the formula for the area of a cyclic quadrilateral. His contributions to geometry are significant. He is the first person to discuss the method of finding a cyclic quadrilateral with rational sides.

What is the contribution of aryabhatta in mathematics wiki?

Aryabhata

Āryabhaṭa
Notable ideas Explanation of lunar eclipse and solar eclipse, rotation of Earth on its axis, reflection of light by moon, sinusoidal functions, solution of single variable quadratic equation, value of π correct to 4 decimal places, diameter of Earth, calculation of the length of sidereal year

What is Ramanujan theory?

For those of you who are unfamiliar with this series, which has come to be known as the Ramanujan Summation after a famous Indian mathematician named Srinivasa Ramanujan, it states that if you add all the natural numbers, that is 1, 2, 3, 4, and so on, all the way to infinity, you will find that it is equal to -1/12.

What is the contribution of Archimedes in mathematics?

Archimedes discovered fundamental theorems concerning the center of gravity of plane figures and solids. His most famous theorem gives the weight of a body immersed in a liquid, called Archimedes’ principal. In The Method Archimedes reveals how he discovered some of his theorems.

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What did aryabhatta invented?

What did Aryabhata discover? Aryabhata discovered an approximation of pi, 62832/20000 = 3.1416. He also correctly believed that the planets and the Moon shine by reflected sunlight and that the motion of the stars is due to Earth’s rotation.

Who invented zero aryabhatta or Brahmagupta?

“Zero and its operation are first defined by [Hindu astronomer and mathematician] Brahmagupta in 628,” said Gobets. He developed a symbol for zero: a dot underneath numbers.

What are the famous works of aryabhatta?

Aryabhatta (476–550 CE) was the first of the major mathematician-astronomers from the classical age of Indian mathematics and Indian astronomy. His works include the Aryabhattya (499 CE, when he was 23 years old) and the Arya-siddhanta.

What are the contributions of Indian mathematicians?

As well as giving us the concept of zero, Indian mathematicians made seminal contributions to the study of trigonometry, algebra, arithmetic and negative numbers among other areas. Perhaps most significantly, the decimal system that we still employ worldwide today was first seen in India.

How did Ramanujan learn mathematics?

Thankfully, Ramanujan didn’t have any formal training. He was a curious child and discovered his love for numbers and equations at an early age. He used to discuss mathematics with college students and whenever he got any new book he used to learn it all by himself.

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What contributions did Aryabhata make to math and science?

What Contributions Did Aryabhata Make to Math and Science? Aryabhata was an ancient Indian philosopher and astronomer who made a wide variety of contributions, including approximating the value of Pi, asserting that the Earth makes a daily rotation on an axis and describing rules for eclipse calculations.

What is the contribution of Anand Ramanujan in mathematics?

Ramanujan has contributed a lot to mathematics in his short lifespan. This includes his independent works from India as well as the researches done under the mentorship of G. H. Hardy in England.

How accurate is Aryabhata’s value of Pi?

Aryabhatta’s value of π is a very close approximation to the modern value and the most accurate among those of the ancients. Furthermore, it is also considered that Aryabhata knew that the value of Pi was irrational.

Did Aryabhata use the Brahmi numerals?

However, Aryabhata did not use the Brahmi numerals. Continuing the Sanskritic tradition from Vedic times, he used letters of the alphabet to denote numbers, expressing quantities, such as the table of sines in a mnemonic form. The place-value system, first seen in the 3rd-century Bakhshali Manuscript, was clearly in place in his work.

https://www.youtube.com/watch?v=GVpTh82ek5E

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