
A biography of the Indian mathematician Srinivasa Ramanujan. The book gives a detailed account of his upbringing in India, his mathematical achievements, and his mathematical collaboration with English mathematician G. H. Hardy. The book also reviews the life of Hardy and the academic culture of Cambridge University during the early twentieth century.
Let's take the Fundamental Theorem of Calculus as an example[0]:
f'(x) = lim_{h->0} {f(x + h) - f(x)} / {h}
This isn't the Fundamental Theorem of Calculus, it's the usual definition of the derivative of a function of a single real variable. The Fundamental Theorem of Calculus establishes the inverse relationship between differentiation and integration [0].
Unless you're Ramanujan, every mathematician has spent hours banging their head against a literal or metaphorical wall (or both!)
Ramanujan was no stranger to banging his head against the wall. My impression from Kanigel's The Man Who Knew Infinity is that his work ethic and mathematical fortitude were as astonishing as his creativity. For much of his career, he couldn't afford paper in quantity and did his hard work on stone slate, only recording the results. This could make it seem like his results were a product of pure inspiration because he left no trace of the furious activity and struggle that was involved.
From The Man Who Knew Infinity:
When he thought hard, his face scrunched up, his eyes narrowed into a squint. When he figured something out, he sometimes seemed to talk to himself, smile, shake his head with pleasure. When he made a mistake, too impatient to lay down his slate pencil, he twisted his forearm toward his body in a single fluid motion and used his elbow, now aimed at the slate, as an eraser. Ramanujan's was no cool, steady Intelligence, solemnly applied to the problem at hand; he was all energy, animation, force.
[0] https://en.wikipedia.org/wiki/Fundamental_theorem_of_calculu...
A biography of one of the most innovative mathematicians of all time traces the rise of Srinivasa Ramanujan from his days as a clerk to his collaboration with one of England's greatest mathematicians
There is also a movie with this same name. It was good, IMHO.
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1) Mathematics Wizard Srinivasa Ramanujan : Some glimpses into his Life and Work by two Indian Mathematicians Narendra Kumar Govil and Bhu Dev Sharma is a good biography with an introduction to his Mathematics and links to further resources. Good complement to Robert Kanigel's book The Man Who Knew Infinity.
2) In order to understand the fascination that Mathematicians have for Ramanujan see this and other lectures by Prof. Ken Ono who credits Ramanujan as his inspiration in becoming a Mathematician; Why Does Ramanujan, "The Man Who Knew Infinity," Matter? - https://www.youtube.com/watch?v=7ynhiZJUMzA
3) Mathologer on Youtube has good walkthroughs of some of Ramanujan's most famous identities (eg. 1+2+3+... = -1/12) - https://www.youtube.com/results?search_query=mathologer+rama...
4) All of Ramanujan's published papers and unpublished notebooks can be found online at - http://ramanujan.sirinudi.org/
PS: In the submitted article, George Andrews is wearing a Ramanujan tie :-)
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