Hardy preferred his work to be considered pure mathematics , perhaps because of his detestation of war and the military uses to which mathematics had been applied.

### mathematics and statistics online

He made several statements similar to that in his Apology :. I have never done anything "useful". No discovery of mine has made, or is likely to make, directly or indirectly, for good or ill, the least difference to the amenity of the world. However, aside from formulating the Hardy—Weinberg principle in population genetics , his famous work on integer partitions with his collaborator Ramanujan , known as the Hardy—Ramanujan asymptotic formula , has been widely applied in physics to find quantum partition functions of atomic nuclei first used by Niels Bohr and to derive thermodynamic functions of non-interacting Bose—Einstein systems.

Though Hardy wanted his maths to be "pure" and devoid of any application, much of his work has found applications in other branches of science. Moreover, Hardy deliberately pointed out in his Apology that mathematicians generally do not "glory in the uselessness of their work," but rather — because science can be used for evil ends as well as good — "mathematicians may be justified in rejoicing that there is one science at any rate, and that their own, whose very remoteness from ordinary human activities should keep it gentle and clean.

Hardy regards as "pure" the kinds of mathematics that are independent of the physical world, but also considers some "applied" mathematicians, such as the physicists Maxwell and Einstein , to be among the "real" mathematicians, whose work "has permanent aesthetic value" and "is eternal because the best of it may, like the best literature, continue to cause intense emotional satisfaction to thousands of people after thousands of years.

Moore , Bertrand Russell and J. Keynes were friends. He was an avid cricket fan. Maynard Keynes observed that if Hardy had read the stock exchange for half an hour every day with as much interest and attention as he did the day's cricket scores, he would have become a rich man. He was at times politically involved, if not an activist. Hardy was an atheist. Apart from close friendships, he had a few platonic relationships with young men who shared his sensibilities, and often his love of cricket. Hardy was extremely shy as a child, and was socially awkward, cold and eccentric throughout his life.

During his school years he was top of his class in most subjects, and won many prizes and awards but hated having to receive them in front of the entire school.

He was uncomfortable being introduced to new people, and could not bear to look at his own reflection in a mirror. It is said that, when staying in hotels, he would cover all the mirrors with towels. Hardy is a key character, played by Jeremy Irons , in the film The Man Who Knew Infinity , based on the biography of Ramanujan with the same title.

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- Hegels Critique of Essence: A Reading of the Wesenslogik (Studies in Philosophy).
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From Wikipedia, the free encyclopedia. Cranleigh , Surrey, England. Cambridge , Cambridgeshire, England. Ramanujan died aged Obituary Notices of Fellows of the Royal Society. New York: Charles Scribner's Sons. The American Mathematical Monthly.

Retrieved 2 December The New York Times. A Cambridge Alumni Database. University of Cambridge.

Hudson was 1st, J. Cameron was 2nd, and James Jeans was 3rd. Wolfram Media, Inc. Oxford University Mathematical Institute. Retrieved 16 April The Abingdonian.

## A note on Schur-concave functions

Collected Mathematical Works. Copenhagen: Dansk Matematisk Forening. Collected Papers of G. Hardy — Volume 7. Oxford: Oxford University Press. London Math. Cricket Blogs. Retrieved 19 September Snow, Foreword, in: G.

### Differential and Integral Equations

Snow, Variety of Men, Penguin books , , pp 25— Gaither's Dictionary of Scientific Quotations. Notices of the American Mathematical Society. The Guardian. Retrieved 21 April Mathematical Association of America. Hardy, Divergent series ". Copley Medallists — Chairs established by Sir Henry Savile.

## References for Norrie Everitt

University of Oxford portal. Chauvenet Prize recipients. Bliss T. Hildebrandt G.

Hardy Dunham Jackson G. For a better shopping experience, please upgrade now. Javascript is not enabled in your browser. Enabling JavaScript in your browser will allow you to experience all the features of our site. Learn how to enable JavaScript on your browser. See All Customer Reviews. Shop Textbooks. Add to Wishlist.

## G. H. Hardy

USD Sign in to Purchase Instantly. Temporarily Out of Stock Online Please check back later for updated availability. Overview This classic of the mathematical literature forms a comprehensive study of the inequalities used throughout mathematics. First published in , it presents clearly and lucidly both the statement and proof of all the standard inequalities of analysis. The authors were well-known for their powers of exposition and made this subject accessible to a wide audience of mathematicians.

Product Details Table of Contents. Table of Contents 1.