12 Questions
What is the name of the mathematician who referred to numbers as the intimate friends of S.Ramanujan?
Eminent mathematician
What is the name of the method used by present-day mathematicians to calculate the value of pi (π) up to 17 million places?
Ramanujan's fastest step-by-step method
Which of the following mathematical fields did S.Ramanujan NOT make significant contributions to?
Topology
What is the significance of the number 1729 in relation to S.Ramanujan?
It is the number of a taxi hired by G.H.Hardy to visit S.Ramanujan
What is the term used to describe the higher level of mathematics that most of S.Ramanujan's contributions belong to?
Higher Mathematics
What is the main reason why S.Ramanujan's mathematics can be difficult to understand for some people?
His contributions belong to a higher realm of mathematics
What is a unique feature of Ramanujan's mathematical methods in relation to other fields?
They were used in fields that did not exist during his lifetime.
What was G.H. Hardy's role in relation to Ramanujan?
He was the one who introduced Ramanujan to the world.
What was the rating given to Ramanujan by G.H. Hardy on his informal scale?
100
What is an example of a practical application of Ramanujan's mathematical methods?
Splicing telephone cables for communications
What is the title of the book in which G.H. Hardy wrote about Ramanujan?
A Mathematician's Apology
What was G.H. Hardy's view of his contribution to mathematics in relation to Ramanujan?
His greatest contribution was introducing Ramanujan to the world.
Study Notes
Ramanujan's Contributions to Various Fields
- Ramanujan's mathematical methods have been widely used in solving problems in fields like particle physics, statistical mechanics, computer science, space science, cryptology, polymer chemistry, and medical science, many of which did not exist during his lifetime.
- His methods have also been used in designing better blast furnaces for smelting metals and splicing telephone cables for communications.
Recognition by Fellow Mathematicians
- Ramanujan was highly honoured and respected by his contemporaries, with G.H. Hardy being one of his greatest admirers.
- Hardy rated Ramanujan 100 on his informal scale, while rating himself 25, Littlewood 30, and David Hilbert 80.
Mathematical Contributions
- Ramanujan made significant contributions to various fields of mathematics, including Algebra, Geometry, Trigonometry, Calculus, Number theory, Hypergeometric series, Elliptic functions, Prime numbers, Bernoulli's numbers, Divergent series, Continued fractions, Elliptic Modular equations, Highly Composite numbers, Riemann Zeta functions, Partition of numbers, and Mock-Theta functions.
- Most of his contributions belong to the realm of "Higher Mathematics", making them challenging to understand without a strong foundation in mathematical subjects.
Ramanujan's Affinity for Numbers
- Ramanujan was extremely close to numbers, with an eminent mathematician stating that numbers were his "intimate friends".
- He gave the number 1729 its characteristics, earning it the name "Ramanujan number" in his honour, due to a famous anecdote involving G.H. Hardy.
Legacy
- Ramanujan's fastest step-by-step method is still used today to calculate the value of pi (π) up to 17 million places using computers.
Test your knowledge about the renowned Indian mathematician S.Ramanujan's groundbreaking contributions to various fields of mathematics, including algebra, geometry, and number theory. This quiz covers his work on hypergeometric series, elliptic functions, and more. How well do you know Ramanujan's mathematical legacy?
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