Table of Contents
- 1 How was Ramanujan influential?
- 2 What is the contribution of bhaskaracharya to mathematics?
- 3 What is the contribution of aryabhatta?
- 4 What is the contribution of Varahamihira?
- 5 What did Srinivasa Ramanujan invent?
- 6 What is the contribution of Ramanujan in Computer Science?
- 7 What is the Ramanujan type of congruence?
How was Ramanujan influential?
Srinivasa Ramanujan was a self-taught mathematical genius, born in 1887 in India. In the short span of 32 years, he attained great distinction. Ramanujan’s theorems, questions, and solutions and the famous notebooks in which he recorded his findings have inspired many scholars and researchers since his death in 1920.
What is the contribution of bhaskaracharya to mathematics?
Some of Bhaskara’s contributions to mathematics include the following: A proof of the Pythagorean theorem by calculating the same area in two different ways and then cancelling out terms to get a2 + b2 = c2. In Lilavati, solutions of quadratic, cubic and quartic indeterminate equations are explained.
What is the contribution of brahmagupta?
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 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 is the contribution of aryabhatta?
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 the contribution of Varahamihira?
Varāhamihira’s most notable works were the Brihat Samhita, an encyclopedic work on architecture, temples, planetary motions, eclipses, timekeeping, astrology, seasons, cloud formation, rainfall, agriculture, mathematics, gemology, perfumes and many other topics.
What are the achievements of bhaskaracharya?
Discoveries first found in his works include computation of sines of angles of 18 and 36 degrees. He is credited to have discovered spherical trigonometry, a branch of spherical geometry which is of great importance for calculations in astronomy, geodesy and navigation.
What are the works of Brahmagupta?
Brāhmasphuṭasiddhānta
KhandakhadyakaBrahmaguptaganitamThe Khandakhadyaka (an astronomical treatise) of Brahmagupta: with the commentary of Bhattotpala. Text and commentary
Brahmagupta/Books
He is the author of two early works on mathematics and astronomy: the Brāhmasphuṭasiddhānta (BSS, “correctly established doctrine of Brahma”, dated 628), a theoretical treatise, and the Khaṇḍakhādyaka (“edible bite”, dated 665), a more practical text. Brahmagupta was the first to give rules to compute with zero.
What did Srinivasa Ramanujan invent?
What is the contribution of Ramanujan in Computer Science?
One work of Ramanujan (done with G. H. Hardy) is his formula for the number of partitions of a positive integer n, the famous Hardy-Ramanujan Asymptotic Formula for the partition problem.
What was Ramanujan’s last conjecture?
His first two conjectures helped develop the Hecke theory, which was formulated 20 years after his paper, in 1936, by German mathematician Erich Hecke. However, it was his last conjecture, known as the Ramanujan conjecture, that created a sensation in in 20th century mathematics.
What is the significance of the Ramanujan theta function?
Ramanujan theta function has several important applications. It is used to determine the critical dimensions in Bosonic string theory, superstring theory and M-theory. In a 1920 letter to Hardy, Ramanujan described several new functions that behaved differently from known theta functions, or modular forms, and yet closely mimicked them.
What is the Ramanujan type of congruence?
The study of Ramanujan type congruence is a popular research topic of number theory. It was in 2011, that a conceptual explanation for Ramanujan’s congruences was finally discovered. Ramanujan’s work on partition theory has applications in a number of areas including particle physics (particularly quantum field theory) and probability.