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G. H. Hardy

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2518: 508:, through which he became acquainted with the more precise mathematics tradition in continental Europe. In 1900 he passed part II of the Tripos, and in the same year he was elected to a Prize Fellowship at Trinity College. In 1903 he earned his M.A., which was the highest academic degree at English universities at that time. When his Prize Fellowship expired in 1906 he was appointed to the Trinity staff as a lecturer in mathematics, where teaching six hours per week left him time for research. 429:; his mother had been a senior mistress at Lincoln Training College for teachers. Both of his parents were mathematically inclined, though neither had a university education. He and his sister Gertrude "Gertie" Emily Hardy (1878–1963) were brought up by their educationally enlightened parents in a typical Victorian nursery attended by a nurse. At an early age, he argued with his nurse about the existence of Santa Claus and the efficacy of prayer. He read aloud to his sister books such as 3783: 384: 783:, 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." Although he admitted that what he called "real" mathematics may someday become useful, he asserted that, at the time in which the 2537: 775:
activities should keep it gentle and clean." Hardy also rejected as a "delusion" the belief that the difference between pure and applied mathematics had anything to do with their utility. 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
519:(1910). Hardy read the letter in the morning, suspected it was a crank or a prank, but thought it over and realized in the evening that it was likely genuine because "great mathematicians are commoner than thieves or humbugs of such incredible skill". He then invited Ramanujan to Cambridge and began "the one romantic incident in my life". 795:
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
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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
572:, which prevented him from playing tennis, squash, etc. He also lost his creative powers in mathematics. He was constantly bored and distracted himself by writing a privately circulated memoir about the Bertrand Russell affair. In the early summer of 1947, he attempted suicide by 409:, when Hardy was asked what his greatest contribution to mathematics was, Hardy unhesitatingly replied that it was the discovery of Ramanujan. In a lecture on Ramanujan, Hardy said that "my association with him is the one romantic incident in my life". 51: 846:, which proved a minor issue as attending the chapel was compulsory at Cambridge University. He wrote a letter to his parents explaining that, and from then on he refused to go into any college chapel, even for purely ritualistic duties. 1586: 685:, who introduced the problem to him in purely mathematical terms. Hardy, who had no interest in genetics and described the mathematical argument as "very simple", may never have realised how important the result became. 819:
were friends. Apart from close friendships, he had a few platonic relationships with young men who shared his sensibilities, and often his love of cricket. A mutual interest in cricket led him to befriend the young
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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 liked to speak of the best class of mathematical research as "the
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during World War I, and For Intellectual Liberty in the late 1930s. He admired America and the Soviet Union roughly equally. He found both sides of the Second World War objectionable.
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examination. Years later, he sought to abolish the Tripos system, as he felt that it was becoming more an end in itself than a means to an end. While at university, Hardy joined the
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Hardy's own natural affinity for mathematics was perceptible at an early age. When just two years old, he wrote numbers up to millions, and when taken to church he amused himself by
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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.
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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.
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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.
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Hardy preferred to work only 4 hours every day on mathematics, spending the rest of the day talking, playing cricket, and other gentlemanly activities.
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into it, which was previously a characteristic of French, Swiss and German mathematics. British mathematicians had remained largely in the tradition of
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reported a colleague as saying, "Nowadays, there are only three really great English mathematicians: Hardy, Littlewood, and Hardy–Littlewood."
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writes that "His concerns were wide-ranging, as evidenced by six New Year's resolutions he set in a postcard to a friend:
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for 1928. Hardy left Oxford and returned to Cambridge in 1931, becoming again a fellow of Trinity College and holding the
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was written, only the "dull and elementary parts" of either pure or applied mathematics could "work for good or ill".
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Chen, John J. (1 August 2010). "The Hardy-Weinberg principle and its applications in modern population genetics".
4422: 3739: 3268: 2964: 2844: 2836: 2764: 1936: 324: 4267: 380:, often considered one of the best insights into the mind of a working mathematician written for the layperson. 3715: 2852: 2558: 1397: 391:(centre), G. H. Hardy (extreme right), and other scientists at Trinity College at the University of Cambridge, 1045: 2375: 3592: 3586: 3228: 2575: 1444: 1145: 912: 704: 619: 298: 246: 2038: 1631:(September 2001). "The interest of G. H. Hardy, F.R.S., in the philosophy and the history of mathematics". 4239: 4169: 3721: 3092: 1839: 627: 4291: 1616: 759:, has been widely applied in physics to find quantum partition functions of atomic nuclei (first used by 4279: 4117: 3875: 3863: 3610: 3332: 3252: 2788: 2692: 1628: 1196: 878:; (5) be proclaimed the first president of the U. S. S. R. of Great Britain and Germany; and (6) murder 623: 356: 143: 4235: 4215: 4197: 4027: 3957: 1268: 558:
until 1942. It is believed that he left Oxford for Cambridge to avoid the compulsory retirement at 65.
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Famous Mathematicians: Biography and Contributions of Great Mathematicians through History
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G. H. Hardy is usually known by those outside the field of mathematics for his 1940 essay
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Collected papers of G. H. Hardy; including joint papers with J. E. Littlewood and others
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He was an avid cricket fan. Maynard Keynes observed that if Hardy had read the
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He was at times politically involved, if not an activist. He took part in the
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GRO Register of Deaths: DEC 1947 4a 204 Cambridge – Godfrey H. Hardy, aged 70
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class", and later, after Bradman appeared as an even greater batsman, "the
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GRO Register of Births: MAR 1877 2a 147 Hambledon – Godfrey Harold Hardy
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methods dominant in France, and aggressively promoted his conception of
3041: 1976: 1959: 843: 678: 360: 50: 3457: 2376:"Review: Uncle Petros and Goldbach's Conjecture by Apostolos Doxiadis" 1527:
Ramanujan: Twelve Lectures on Subjects Suggested by his Life and Work
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Ramanujan: Twelve Lectures on Subjects Suggested by his Life and Work
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Hardy cited as his most important influence his independent study of
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Alladi, Krishnaswami (19 December 1987), "Ramanujan—An Estimation",
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Starting in 1914, Hardy was the mentor of the Indian mathematician
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Orders of Infinity: The 'Infinitärcalcül' of Paul Du Bois-Reymond
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Hardy's collected papers have been published in seven volumes by
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Hardy is credited with reforming British mathematics by bringing
2398:"A Good Read - Marcus du Sautoy and David Dabydeen - BBC Sounds" 1082: 3799: 3461: 3045: 2596: 1067:(2nd ed.). Providence, RI: American Mathematical Society. 751:, his famous work on integer partitions with his collaborator 630:. This (along with much else) led to quantitative progress on 2484:
Albers, D.J.; Alexanderson, G.L.; Dunham, W., eds. (2015).
763:) and to derive thermodynamic functions of non-interacting 688:
Hardy was elected an international honorary member of the
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The Man Who Knew Infinity: A Life of the Genius Ramanujan
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THE MAN WHO KNEW INFINITY: A Life of the Genius Ramanujan
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Foreign associates of the National Academy of Sciences
1617:"What became of the Senior Wranglers?" by D. O. Forfar 1161:(1st ed.). Cambridge: Cambridge University Press. 692:
in 1921, an international member of the United States
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wrote to Hardy, who Ramanujan had known from studying
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with an introduction by C.P. Snow was recommended by
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that was an important part of Cambridge mathematics.
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and the military uses to which mathematics had been
3644: 3503: 1683:Berndt, Bruce C.; Rankin, Robert A. (August 2000). 1568:, p. 116, Charles Scribner's Sons, New York, 1991. 347:(7 February 1877 – 1 December 1947) was an English 316: 270: 256: 242: 232: 185: 131: 121: 111: 92: 66: 34: 2462: 2445: 2419: 1666:Hardy, G. H. (Godfrey Harold) (21 November 2011). 1114: 1023:(6th ed.). Oxford: Oxford University Press. 915:and Ramanujan. Hardy is a secondary character in 1633:Notes and Records of the Royal Society of London 1335:Obituary Notices of Fellows of the Royal Society 770:Moreover, Hardy deliberately pointed out in his 2272:"GH Hardy, the mathematician who loved cricket" 737: 550:, who spent the year at Oxford. Hardy gave the 465:for his mathematical work. In 1896, he entered 2469:. By Hardy, G. H. Cambridge University Press. 4483:Members of the American Philosophical Society 3811: 3473: 3057: 2608: 1048:(10th ed.). Cambridge University Press. 642:theory, they proved results and some notable 542:. Hardy spent the academic year 1928–1929 at 8: 2326:Notices of the American Mathematical Society 1795:. Oxford University Mathematical Institute. 696:in 1927, and an international member of the 417:G. H. Hardy was born on 7 February 1877, in 3818: 3804: 3796: 3480: 3466: 3458: 3064: 3050: 3042: 2615: 2601: 2593: 2319:"Film Review: 'The Man Who Knew Infinity'" 2265: 2263: 2187: 2185: 2091:Collected Papers of G. H. Hardy – Volume 7 1835:"An introduction to the theory of numbers" 1377: 1375: 1247:Hardy–Littlewood zeta function conjectures 715:Hardy preferred his work to be considered 180:Hardy–Littlewood zeta function conjectures 49: 31: 4478:Sadleirian Professors of Pure Mathematics 4398:Members of the French Academy of Sciences 2488:. Cambridge: Cambridge University Press. 2244: 2203: 2201: 1975: 1851: 1685:"The Books Studied by Ramanujan in India" 1346: 951:. Cambridge: Cambridge University Press. 842:Around the age of 20, he decided that he 497:, an elite, intellectual secret society. 4418:Cambridge University Moral Sciences Club 1009:An Introduction to the Theory of Numbers 799:Socially, Hardy was associated with the 665:Hardy is also known for formulating the 530:, in 1919 he left Cambridge to take the 502:Cours d'analyse de l'École Polytechnique 2554:MacTutor History of Mathematics Archive 2270:Khan, Haider Riaz (18 September 2014). 2017:American Academy of Arts & Sciences 1393:MacTutor History of Mathematics Archive 1310: 918:Uncle Petros and Goldbach's Conjecture 4433:People educated at Winchester College 4408:Fellows of Trinity College, Cambridge 2426:. New York: Washington Square Press. 2378:. Mathematical Association of America 1897: 1895: 1771: 1769: 1767: 1765: 1763: 1761: 1759: 1757: 1324: 1322: 1320: 1318: 1316: 1314: 690:American Academy of Arts and Sciences 461:, Hardy was awarded a scholarship to 7: 4413:Alumni of Trinity College, Cambridge 2454:. London: Macmillan. pp. 15–46. 2335:from the original on 9 October 2022. 2229:"G.H. Hardy: Mathematical Biologist" 2227:Christenson, H.; Garcia, S. (2015). 1998:An Annotated Mathematician's Apology 1888:from the original on 9 October 2022. 1724:"The Indian Mathematician Ramanujan" 891:Hardy is a key character, played by 743:However, aside from formulating the 4428:People educated at Cranleigh School 4383:20th-century English mathematicians 4378:19th-century English mathematicians 2580:"Hardy, Godfrey Harold (1877–1947)" 2094:. Oxford: Oxford University Press. 1991:Cain, A. J. (2019). "Legacy of the 1802:from the original on 9 October 2022 1587:"Hardy, Godfrey Harold (HRDY896GH)" 656:second Hardy–Littlewood conjectures 600:). Hardy was more in tune with the 1242:Hardy–Littlewood tauberian theorem 757:Hardy–Ramanujan asymptotic formula 148:Hardy–Littlewood tauberian theorem 140:Hardy–Ramanujan asymptotic formula 25: 2346:Taylor, D. J. (26 January 2008). 2233:Journal of Humanistic Mathematics 1728:The American Mathematical Monthly 1689:The American Mathematical Monthly 1639:(3). The Royal Society: 411–424. 1331:"Godfrey Harold Hardy. 1877–1947" 1237:Hardy–Littlewood maximal function 592:, in thrall to the reputation of 27:British mathematician (1877–1947) 3781: 2535: 2317:George Andrews (February 2016). 1603:In the 1898 Tripos competition, 618:From 1911, he collaborated with 561:He was on the governing body of 351:, known for his achievements in 4388:Savilian Professors of Geometry 1853:10.1090/s0002-9904-1929-04793-1 1823:. American Mathematical Society 1530:. Providence, RI: AMS Chelsea. 988:. Providence, RI: AMS Chelsea. 921:(1992), a mathematics novel by 4453:Fellows of New College, Oxford 4443:Recipients of the Copley Medal 2374:Devlin, Keith (1 April 2000). 2303:The Man Who Loved Only Numbers 2208:Snow, C. P. (1967). Foreword. 2088:Hardy, Godfrey Harold (1979). 1740:10.1080/00029890.1937.11987940 1701:10.1080/00029890.2000.12005244 1496:The Man Who Loved Only Numbers 1174:. Cambridge University Press. 698:American Philosophical Society 636:Hardy–Littlewood circle method 477:, who recommended him to read 307:Tirukkannapuram Vijayaraghavan 172:Hardy–Littlewood circle method 1: 2821:Edward Albert Sharpey-Schafer 2570:Hardy's work on Number Theory 2519:Works by or about G. H. Hardy 1821:Josiah Willard Gibbs Lectures 1414:Mathematics Genealogy Project 598:Cambridge Mathematical Tripos 546:in an academic exchange with 534:(and thus become a Fellow of 469:. He was first tutored under 392: 56: 4468:Governors of Abingdon School 4393:Fellows of the Royal Society 1933:Collected Mathematical Works 1931:(1952). "Looking Backward". 1775:C. P. Snow, Variety of Men, 1434:. Retrieved 2 December 2010. 1168:Bertrand Russell and Trinity 1041:A Course of Pure Mathematics 905:'s historical fiction novel 694:National Academy of Sciences 608:, in particular against the 552:Josiah Willard Gibbs lecture 504:by the French mathematician 3787:University of Oxford portal 2909:Charles Thomson Rees Wilson 2534:(public domain audiobooks) 1935:. Vol. 1. Copenhagen: 1722:Hardy, G. H. (March 1937). 1591:A Cambridge Alumni Database 1289:Pisot–Vijayaraghavan number 1232:Hardy–Littlewood inequality 1227:Hardy–Littlewood definition 1121:. Oxford: Clarendon Press. 1111:London Mathematical Society 931:, played by Kevin McGowan. 851:Union of Democratic Control 317:Other notable students 190:Fellow of the Royal Society 160:Hardy–Littlewood inequality 4499: 2246:10.5642/jhummath.201502.08 2214:Cambridge University Press 1790:"G H Hardy's Oxford Years" 1593:. University of Cambridge. 1500:, Fourth Estate, pp.  1329:Titchmarsh, E. C. (1949). 1109:Hardy, G. H. (1966–1979). 532:Savilian Chair of Geometry 489:, Hardy was fourth in the 467:Trinity College, Cambridge 454:the numbers of the hymns. 126:Trinity College, Cambridge 3834: 3779: 3740:Edward Charles Titchmarsh 3493: 3079: 2845:Charles Scott Sherrington 2837:Frederick Gowland Hopkins 2631: 2565:Quotations of G. H. Hardy 2465:A Mathematician's Apology 2210:A Mathematician's Apology 2193:A Mathematician's Apology 2160:10.1007/s11515-010-0580-x 2115:Titchmarsh, E.C. (1950). 1937:Dansk Matematisk Forening 1565:The Man Who Knew Infinity 974:in the BBC Radio program 944:A Mathematician's Apology 898:The Man Who Knew Infinity 721:, perhaps because of his 638:, as it became known. In 377:A Mathematician's Apology 333: 225: 106:, Cambridgeshire, England 48: 4473:British textbook writers 4368:British number theorists 3716:Henry John Stephen Smith 2853:Charles Algernon Parsons 2576:Weisstein, Eric Wolfgang 2559:University of St Andrews 2418:Kanigel, Robert (1991). 1960:"Early Days of Genetics" 1398:University of St Andrews 745:Hardy–Weinberg principle 667:Hardy–Weinberg principle 556:Sadleirian Professorship 522:In the aftermath of the 365:Hardy–Weinberg principle 136:Hardy–Weinberg principle 4070:W. B. Raymond Lickorish 2133:10.1112/jlms/s1-25.2.81 1958:Punnett, R. C. (1950). 1449:Littlewood's Miscellany 1447:; Bollobás, B. (1986). 1430:5 December 2017 at the 1264:Hardy–Ramanujan theorem 1253:Hardy–Ramanujan Journal 968:Mathematician's Apology 913:John Edensor Littlewood 705:Oxford University Press 669:, a basic principle of 622:, in extensive work in 620:John Edensor Littlewood 568:In 1939, he suffered a 524:Bertrand Russell affair 367:, a basic principle of 261:A. E. H. Love 247:University of Cambridge 4373:Population geneticists 3722:James Joseph Sylvester 3495:Chairs established by 3093:James Joseph Sylvester 2981:Geoffrey Ingram Taylor 2765:Pierre Paul Émile Roux 2300:Hoffman, Paul (1998). 2117:"Godfrey Harold Hardy" 2013:"Godfrey Harold Hardy" 1840:Bull. Amer. Math. Soc. 1645:10.1098/rsnr.2001.0155 1348:10.1098/rsbm.1949.0007 1259:Hardy–Ramanujan number 1202:Campbell–Hardy theorem 1166:Hardy, G. H. (1970) . 1063:Hardy, G. H. (2013) . 1038:Hardy, G. H. (2008) . 982:Hardy, G. H. (1999) . 941:Hardy, G. H. (2012) . 884: 872:Test Match at the Oval 844:did not believe in God 741: 628:analytic number theory 398: 363:, he is known for the 4448:People from Cranleigh 4363:Mathematical analysts 3998:Shreeram S. Abhyankar 3253:George Neville Watson 2789:Horace Tabberer Brown 2693:Alfred Russel Wallace 2486:The G.H. Hardy Reader 1833:Hardy, G. H. (1929). 1524:Hardy, G. H. (1999). 1197:Critical line theorem 1170:. With a foreword by 1044:. With a foreword by 1019:, with a foreword by 947:. With a foreword by 861: 673:, independently from 624:mathematical analysis 386: 357:mathematical analysis 144:Critical line theorem 4458:De Morgan Medallists 4240:David Shea Vela-Vick 4023:1983 No award given. 4020:1982 No award given. 3734:Godfrey Harold Hardy 3429:John Griggs Thompson 3421:Keith William Morton 3205:Godfrey Harold Hardy 3073:De Morgan Medallists 2997:Edgar Douglas Adrian 2637:Josiah Willard Gibbs 2545:Robertson, Edmund F. 2528:Works by G. H. Hardy 2510:Works by G. H. Hardy 2148:Frontiers in Biology 2068:search.amphilsoc.org 2064:"APS Member History" 1629:Grattan-Guinness, I. 1384:Robertson, Edmund F. 681:with the geneticist 544:Princeton University 511:On 16 January 1913, 487:Robert Alfred Herman 340:Godfrey Harold Hardy 265:E. T. Whittaker 251:University of Oxford 71:Godfrey Harold Hardy 4463:Mathematics writers 4438:Royal Medal winners 4292:Vladimir Pozdnyakov 4090:Jonathan M. Borwein 4064:David Allen Hoffman 3646:Savilian Professors 3505:Savilian Professors 3488:Savilian Professors 2869:William Henry Bragg 2701:George William Hill 2685:Albert A. Michelson 2543:O'Connor, John J.; 2461:(2012) . Foreword. 2121:J. London Math. Soc 1881:. The Abingdonian. 1382:O'Connor, John J.; 1222:Hardy–Hille formula 895:, in the 2015 film 887:Cultural references 749:population genetics 677:in 1908. He played 671:population genetics 650:; examples are the 644:conditional results 590:applied mathematics 574:barbituate overdose 570:coronary thrombosis 565:from 1922 to 1935. 457:After schooling at 403:Srinivasa Ramanujan 389:Srinivasa Ramanujan 387:Charles F. Wilson, 369:population genetics 4280:Daniel J. Velleman 4074:Kenneth C. Millett 4046:James H. Wilkinson 2941:Thomas Hunt Morgan 2925:Henry Hallett Dale 2901:John Scott Haldane 2885:George Ellery Hale 2212:. By Hardy, G. H. 1977:10.1038/hdy.1950.1 1605:R. W. H. T. Hudson 1269:Hardy's inequality 923:Apostolos Doxiadis 868:Riemann hypothesis 805:Cambridge Apostles 723:detestation of war 517:Orders of Infinity 495:Cambridge Apostles 491:Mathematics Tripos 471:Robert Rumsey Webb 463:Winchester College 438:Gulliver's Travels 425:and Art Master at 399: 164:Hardy's inequality 4340: 4339: 4296:J. Michael Steele 4264:Susan H. Marshall 4236:Daniel Pomerleano 4216:Brian J. McCartin 4198:Andrew J. Simoson 4192:GĂĽnter M. Ziegler 4146:Carolyn S. Gordon 4028:R. Arthur Knoebel 4004:Neil J. A. Sloane 3992:W. Gilbert Strang 3946:Shiing-Shen Chern 3928:Joseph P. LaSalle 3906:Cornelius Lanczos 3870:Saunders Mac Lane 3846:T. H. Hildebrandt 3793: 3792: 3698:Abraham Robertson 3623:George Efstathiou 3599:Charles Pritchard 3575:Abraham Robertson 3455: 3454: 3373:Albrecht Fröhlich 3333:C. Ambrose Rogers 3261:A. S. Besicovitch 3149:J. W. L. Glaisher 3039: 3038: 2805:Ernest Rutherford 2624:Copley Medallists 2514:Project Gutenberg 2495:978-1-10713-555-0 2476:978-1-107-29559-9 2043:www.nasonline.org 2019:. 9 February 2023 2001:. By Hardy, G. H. 1779:, 1969, pp 25–56. 1537:978-0-8218-2023-0 1478:, Madras, India, 1458:978-0-521-33058-9 1181:978-0-521-11392-2 1146:Littlewood, J. E. 1113:committee (ed.). 1074:978-0-8218-2649-2 1055:978-0-521-72055-7 1030:978-0-19-921985-8 1013:D. R. Heath-Brown 995:978-0-8218-2023-0 958:978-1-107-29559-9 634:, as part of the 337: 336: 325:Edward Titchmarsh 271:Doctoral students 257:Academic advisors 227:Scientific career 87:, Surrey, England 16:(Redirected from 4490: 4423:English atheists 4316:Matthew Crawford 4204:Andrew Granville 4176:Edward B. Burger 4134:Michael I. Rosen 4094:Peter B. Borwein 4080:Steven G. Krantz 4016:Kenneth I. Gross 3986:Lawrence Zalcman 3900:Richard H. Bruck 3820: 3813: 3806: 3797: 3785: 3617:Donald Blackwell 3533:Christopher Wren 3497:Sir Henry Savile 3482: 3475: 3468: 3459: 3448: 3440: 3432: 3424: 3416: 3413:Bryan John Birch 3408: 3400: 3392: 3384: 3376: 3368: 3360: 3357:J. W. S. Cassels 3352: 3344: 3336: 3328: 3320: 3312: 3304: 3296: 3288: 3280: 3272: 3269:E. C. Titchmarsh 3264: 3256: 3248: 3240: 3232: 3229:J. E. Littlewood 3224: 3216: 3213:Bertrand Russell 3208: 3200: 3192: 3184: 3176: 3168: 3160: 3152: 3144: 3136: 3128: 3125:William Burnside 3120: 3112: 3104: 3096: 3088: 3066: 3059: 3052: 3043: 3032: 3024: 3021:George de Hevesy 3016: 3008: 3000: 2992: 2984: 2976: 2968: 2960: 2952: 2944: 2936: 2928: 2920: 2912: 2904: 2896: 2888: 2880: 2872: 2864: 2856: 2848: 2840: 2832: 2824: 2816: 2808: 2800: 2792: 2784: 2776: 2768: 2760: 2752: 2744: 2736: 2728: 2720: 2712: 2704: 2696: 2688: 2680: 2677:Élie Metchnikoff 2672: 2669:Dmitri Mendeleev 2664: 2656: 2648: 2640: 2617: 2610: 2603: 2594: 2589: 2561: 2539: 2538: 2523:Internet Archive 2499: 2480: 2468: 2455: 2449: 2437: 2425: 2406: 2405: 2394: 2388: 2387: 2385: 2383: 2371: 2365: 2364: 2362: 2360: 2343: 2337: 2336: 2334: 2323: 2314: 2308: 2307: 2297: 2291: 2290: 2288: 2286: 2267: 2258: 2257: 2255: 2253: 2248: 2224: 2218: 2217: 2205: 2196: 2189: 2180: 2179: 2143: 2137: 2136: 2112: 2106: 2105: 2085: 2079: 2078: 2076: 2074: 2060: 2054: 2053: 2051: 2049: 2035: 2029: 2028: 2026: 2024: 2009: 2003: 2002: 1988: 1982: 1981: 1979: 1955: 1949: 1948: 1925: 1919: 1918: 1916: 1914: 1899: 1890: 1889: 1887: 1880: 1872: 1866: 1865: 1855: 1830: 1824: 1818: 1812: 1811: 1809: 1807: 1801: 1794: 1786: 1780: 1773: 1752: 1751: 1719: 1713: 1712: 1680: 1674: 1673: 1663: 1657: 1656: 1625: 1619: 1601: 1595: 1594: 1583: 1577: 1557: 1551: 1548: 1542: 1541: 1521: 1515: 1514: 1499: 1486: 1469: 1463: 1462: 1445:Littlewood, J.E. 1441: 1435: 1422: 1416: 1407: 1401: 1400: 1379: 1370: 1367: 1361: 1360: 1350: 1326: 1284:Hardy Z function 1185: 1162: 1160: 1140: 1120: 1102: 1065:Divergent Series 1059: 1034: 999: 972:Marcus du Sautoy 962: 908:The Indian Clerk 865: 813:Bertrand Russell 801:Bloomsbury Group 718:pure mathematics 711:Pure mathematics 683:Reginald Punnett 675:Wilhelm Weinberg 632:Waring's problem 606:pure mathematics 427:Cranleigh School 397: 394: 346: 99: 80: 78: 61: 58: 53: 43: 32: 21: 18:Godfrey H. Hardy 4498: 4497: 4493: 4492: 4491: 4489: 4488: 4487: 4343: 4342: 4341: 4336: 4332:Jeffrey Whitmer 4302:Travis Kowalski 4268:Donald R. Smith 4188:Florian Pfender 4170:Thomas C. Hales 4106:Donald G. Saari 4086:David H. Bailey 3958:François Trèves 3952:Norman Levinson 3912:Philip J. Davis 3830: 3827:Chauvenet Prize 3824: 3794: 3789: 3775: 3680:Nathaniel Bliss 3647: 3640: 3515:John Bainbridge 3506: 3499: 3489: 3486: 3456: 3451: 3443: 3435: 3427: 3419: 3411: 3403: 3395: 3387: 3379: 3371: 3363: 3355: 3347: 3339: 3331: 3323: 3315: 3309:Mary Cartwright 3307: 3299: 3291: 3283: 3275: 3267: 3259: 3251: 3243: 3235: 3227: 3221:E. T. Whittaker 3219: 3211: 3203: 3195: 3187: 3179: 3171: 3163: 3155: 3147: 3139: 3133:A. G. Greenhill 3131: 3123: 3115: 3107: 3099: 3091: 3083: 3075: 3070: 3040: 3035: 3027: 3019: 3011: 3003: 2995: 2987: 2979: 2973:Joseph Barcroft 2971: 2965:Robert Robinson 2963: 2955: 2947: 2939: 2931: 2923: 2915: 2907: 2899: 2891: 2883: 2877:Arthur Schuster 2875: 2867: 2859: 2851: 2843: 2835: 2829:Albert Einstein 2827: 2819: 2811: 2803: 2795: 2787: 2781:William Bayliss 2779: 2773:Hendrik Lorentz 2771: 2763: 2755: 2747: 2739: 2731: 2723: 2715: 2707: 2699: 2691: 2683: 2675: 2667: 2661:William Crookes 2659: 2651: 2643: 2635: 2627: 2621: 2574: 2542: 2536: 2506: 2496: 2483: 2477: 2457: 2440: 2434: 2417: 2414: 2412:Further reading 2409: 2396: 2395: 2391: 2381: 2379: 2373: 2372: 2368: 2358: 2356: 2345: 2344: 2340: 2332: 2321: 2316: 2315: 2311: 2299: 2298: 2294: 2284: 2282: 2269: 2268: 2261: 2251: 2249: 2226: 2225: 2221: 2207: 2206: 2199: 2190: 2183: 2145: 2144: 2140: 2114: 2113: 2109: 2102: 2087: 2086: 2082: 2072: 2070: 2062: 2061: 2057: 2047: 2045: 2039:"Godfrey Hardy" 2037: 2036: 2032: 2022: 2020: 2011: 2010: 2006: 1990: 1989: 1985: 1957: 1956: 1952: 1927: 1926: 1922: 1912: 1910: 1909:. 29 March 2022 1901: 1900: 1893: 1885: 1878: 1874: 1873: 1869: 1832: 1831: 1827: 1819: 1815: 1805: 1803: 1799: 1792: 1788: 1787: 1783: 1774: 1755: 1721: 1720: 1716: 1682: 1681: 1677: 1665: 1664: 1660: 1627: 1626: 1622: 1602: 1598: 1585: 1584: 1580: 1558: 1554: 1549: 1545: 1538: 1523: 1522: 1518: 1512: 1488: 1471: 1470: 1466: 1459: 1443: 1442: 1438: 1432:Wayback Machine 1423: 1419: 1408: 1404: 1381: 1380: 1373: 1368: 1364: 1341:(18): 446–461. 1328: 1327: 1312: 1308: 1303: 1298: 1274:Hardy's theorem 1207:Hardy hierarchy 1192: 1182: 1165: 1158: 1143: 1129: 1108: 1075: 1062: 1056: 1037: 1031: 1017:J. H. Silverman 1002: 996: 981: 959: 940: 937: 889: 863: 793: 755:, known as the 713: 602:cours d'analyse 582: 563:Abingdon School 483:Cours d'analyse 444:Robinson Crusoe 415: 395: 342: 323: 309: 305: 301: 297: 293: 289: 285: 281: 279:I. J. Good 277: 275:Mary Cartwright 263: 249: 217: 214:Sylvester Medal 212: 209:Chauvenet Prize 207: 204:De Morgan Medal 202: 197: 192: 178: 174: 170: 168:Hardy's theorem 166: 162: 158: 154: 150: 146: 142: 138: 122:Alma mater 107: 101: 97: 96:1 December 1947 88: 82: 81:7 February 1877 76: 74: 73: 72: 62: 59: 44: 39: 37: 28: 23: 22: 15: 12: 11: 5: 4496: 4494: 4486: 4485: 4480: 4475: 4470: 4465: 4460: 4455: 4450: 4445: 4440: 4435: 4430: 4425: 4420: 4415: 4410: 4405: 4400: 4395: 4390: 4385: 4380: 4375: 4370: 4365: 4360: 4355: 4345: 4344: 4338: 4337: 4335: 4334: 4328: 4326:Jonas Eliasson 4322:Kimmo Eriksson 4318: 4308:William Dunham 4304: 4298: 4288: 4282: 4276: 4274:Mark Schilling 4270: 4260: 4258:Dana Mackenzie 4254: 4248: 4242: 4228:Dennis DeTurck 4224: 4218: 4212: 4210:Harold P. Boas 4206: 4200: 4194: 4184: 4182:John Stillwell 4178: 4172: 4166: 4152: 4142: 4136: 4130: 4120: 4114: 4108: 4102: 4096: 4082: 4076: 4066: 4060: 4058:Jacob Korevaar 4054: 4048: 4042: 4036: 4034:Carl Pomerance 4030: 4024: 4021: 4018: 4012: 4006: 4000: 3994: 3988: 3982: 3972: 3966: 3960: 3954: 3948: 3942: 3936: 3930: 3920: 3914: 3908: 3902: 3896: 3890: 3884: 3878: 3872: 3866: 3860: 3858:Dunham Jackson 3854: 3848: 3842: 3835: 3832: 3831: 3825: 3823: 3822: 3815: 3808: 3800: 3791: 3790: 3780: 3777: 3776: 3774: 3773: 3770:Frances Kirwan 3767: 3761: 3758:Richard Taylor 3755: 3749: 3746:Michael Atiyah 3743: 3737: 3731: 3725: 3719: 3713: 3707: 3704:Stephen Rigaud 3701: 3695: 3689: 3683: 3677: 3671: 3665: 3659: 3652: 3650: 3642: 3641: 3639: 3638: 3632: 3626: 3620: 3614: 3611:Harry Plaskett 3608: 3605:Herbert Turner 3602: 3596: 3593:William Donkin 3590: 3587:George Johnson 3584: 3581:Stephen Rigaud 3578: 3572: 3569:Thomas Hornsby 3566: 3560: 3554: 3548: 3542: 3539:Edward Bernard 3536: 3530: 3524: 3518: 3511: 3509: 3501: 3500: 3494: 3491: 3490: 3487: 3485: 3484: 3477: 3470: 3462: 3453: 3452: 3450: 3449: 3441: 3437:Timothy Gowers 3433: 3425: 3417: 3409: 3401: 3393: 3385: 3377: 3369: 3361: 3353: 3345: 3341:Michael Atiyah 3337: 3329: 3321: 3313: 3305: 3297: 3289: 3285:W. V. D. Hodge 3281: 3273: 3265: 3257: 3249: 3245:Sydney Chapman 3241: 3233: 3225: 3217: 3209: 3201: 3193: 3189:P. A. MacMahon 3185: 3177: 3169: 3161: 3153: 3145: 3137: 3129: 3121: 3113: 3105: 3097: 3089: 3080: 3077: 3076: 3071: 3069: 3068: 3061: 3054: 3046: 3037: 3036: 3034: 3033: 3029:James Chadwick 3025: 3017: 3013:Archibald Hill 3009: 3001: 2993: 2985: 2977: 2969: 2961: 2953: 2945: 2937: 2929: 2921: 2913: 2905: 2897: 2893:Theobald Smith 2889: 2881: 2873: 2865: 2857: 2849: 2841: 2833: 2825: 2817: 2809: 2801: 2793: 2785: 2777: 2769: 2761: 2753: 2745: 2737: 2729: 2721: 2713: 2709:Francis Galton 2705: 2697: 2689: 2681: 2673: 2665: 2657: 2649: 2641: 2632: 2629: 2628: 2622: 2620: 2619: 2612: 2605: 2597: 2591: 2590: 2572: 2567: 2562: 2540: 2525: 2516: 2505: 2504:External links 2502: 2501: 2500: 2494: 2481: 2475: 2452:Variety of Men 2438: 2432: 2413: 2410: 2408: 2407: 2389: 2366: 2338: 2309: 2292: 2259: 2219: 2197: 2191:Hardy, G. H. 2181: 2154:(4): 348–353. 2138: 2107: 2100: 2080: 2055: 2030: 2004: 1983: 1950: 1939:. xiii–xxxiv. 1920: 1891: 1876:"School Notes" 1867: 1846:(6): 778–818. 1825: 1813: 1781: 1753: 1734:(3): 137–155. 1714: 1695:(7): 595–601. 1675: 1658: 1620: 1596: 1578: 1560:Robert Kanigel 1552: 1543: 1536: 1516: 1510: 1464: 1457: 1436: 1417: 1402: 1371: 1362: 1309: 1307: 1304: 1302: 1299: 1297: 1296: 1291: 1286: 1281: 1276: 1271: 1266: 1261: 1256: 1249: 1244: 1239: 1234: 1229: 1224: 1219: 1214: 1212:Hardy notation 1209: 1204: 1199: 1193: 1191: 1188: 1187: 1186: 1180: 1163: 1144:Hardy, G. H.; 1141: 1127: 1106: 1073: 1060: 1054: 1035: 1029: 1003:Hardy, G. H.; 1000: 994: 979: 966:The reprinted 957: 936: 933: 888: 885: 829:stock exchange 792: 789: 712: 709: 581: 578: 506:Camille Jordan 479:Camille Jordan 414: 411: 335: 334: 331: 330: 321:Sydney Chapman 318: 314: 313: 303:Donald Spencer 283:Edward Linfoot 272: 268: 267: 258: 254: 253: 244: 240: 239: 234: 230: 229: 223: 222: 187: 183: 182: 156:Hardy notation 133: 132:Known for 129: 128: 123: 119: 118: 113: 109: 108: 102: 100:(aged 70) 94: 90: 89: 83: 70: 68: 64: 63: 54: 46: 45: 38: 35: 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 4495: 4484: 4481: 4479: 4476: 4474: 4471: 4469: 4466: 4464: 4461: 4459: 4456: 4454: 4451: 4449: 4446: 4444: 4441: 4439: 4436: 4434: 4431: 4429: 4426: 4424: 4421: 4419: 4416: 4414: 4411: 4409: 4406: 4404: 4401: 4399: 4396: 4394: 4391: 4389: 4386: 4384: 4381: 4379: 4376: 4374: 4371: 4369: 4366: 4364: 4361: 4359: 4356: 4354: 4351: 4350: 4348: 4333: 4329: 4327: 4323: 4319: 4317: 4313: 4309: 4305: 4303: 4299: 4297: 4293: 4289: 4287: 4283: 4281: 4277: 4275: 4271: 4269: 4265: 4261: 4259: 4255: 4253: 4249: 4247: 4246:Robert Ghrist 4243: 4241: 4237: 4233: 4229: 4225: 4223: 4219: 4217: 4213: 4211: 4207: 4205: 4201: 4199: 4195: 4193: 4189: 4185: 4183: 4179: 4177: 4173: 4171: 4167: 4165: 4161: 4157: 4156:Ellen Gethner 4153: 4151: 4150:David L. Webb 4147: 4143: 4141: 4137: 4135: 4131: 4129: 4125: 4121: 4119: 4115: 4113: 4109: 4107: 4103: 4101: 4097: 4095: 4091: 4087: 4083: 4081: 4077: 4075: 4071: 4067: 4065: 4061: 4059: 4055: 4053: 4052:Stephen Smale 4049: 4047: 4043: 4041: 4037: 4035: 4031: 4029: 4025: 4022: 4019: 4017: 4013: 4011: 4007: 4005: 4001: 3999: 3995: 3993: 3989: 3987: 3983: 3981: 3977: 3973: 3971: 3967: 3965: 3961: 3959: 3955: 3953: 3949: 3947: 3943: 3941: 3937: 3935: 3931: 3929: 3925: 3921: 3919: 3915: 3913: 3909: 3907: 3903: 3901: 3897: 3895: 3894:E. J. McShane 3891: 3889: 3885: 3883: 3879: 3877: 3876:R. H. Cameron 3873: 3871: 3867: 3865: 3864:G. T. Whyburn 3861: 3859: 3855: 3853: 3849: 3847: 3843: 3841: 3837: 3836: 3833: 3828: 3821: 3816: 3814: 3809: 3807: 3802: 3801: 3798: 3788: 3784: 3778: 3771: 3768: 3765: 3764:Nigel Hitchin 3762: 3759: 3756: 3753: 3750: 3747: 3744: 3741: 3738: 3735: 3732: 3729: 3728:William Esson 3726: 3723: 3720: 3717: 3714: 3711: 3708: 3705: 3702: 3699: 3696: 3693: 3690: 3687: 3684: 3681: 3678: 3675: 3674:Edmond Halley 3672: 3669: 3666: 3663: 3660: 3657: 3654: 3653: 3651: 3649: 3643: 3636: 3635:Steven Balbus 3633: 3630: 3627: 3624: 3621: 3618: 3615: 3612: 3609: 3606: 3603: 3600: 3597: 3594: 3591: 3588: 3585: 3582: 3579: 3576: 3573: 3570: 3567: 3564: 3563:James Bradley 3561: 3558: 3555: 3552: 3549: 3546: 3545:David Gregory 3543: 3540: 3537: 3534: 3531: 3528: 3525: 3522: 3519: 3516: 3513: 3512: 3510: 3508: 3502: 3498: 3492: 3483: 3478: 3476: 3471: 3469: 3464: 3463: 3460: 3446: 3442: 3438: 3434: 3430: 3426: 3422: 3418: 3414: 3410: 3406: 3405:Roger Penrose 3402: 3398: 3394: 3390: 3386: 3382: 3378: 3374: 3370: 3366: 3365:D. G. Kendall 3362: 3358: 3354: 3350: 3346: 3342: 3338: 3334: 3330: 3326: 3325:Graham Higman 3322: 3318: 3314: 3310: 3306: 3302: 3298: 3294: 3290: 3286: 3282: 3278: 3274: 3270: 3266: 3262: 3258: 3254: 3250: 3246: 3242: 3238: 3237:Louis Mordell 3234: 3230: 3226: 3222: 3218: 3214: 3210: 3206: 3202: 3198: 3197:A. E. H. Love 3194: 3190: 3186: 3182: 3178: 3174: 3170: 3166: 3162: 3158: 3154: 3150: 3146: 3142: 3138: 3134: 3130: 3126: 3122: 3118: 3114: 3110: 3106: 3102: 3101:Lord Rayleigh 3098: 3094: 3090: 3086: 3085:Arthur Cayley 3082: 3081: 3078: 3074: 3067: 3062: 3060: 3055: 3053: 3048: 3047: 3044: 3030: 3026: 3022: 3018: 3014: 3010: 3006: 3002: 2998: 2994: 2990: 2986: 2982: 2978: 2974: 2970: 2966: 2962: 2958: 2954: 2950: 2949:Paul Langevin 2946: 2942: 2938: 2934: 2930: 2926: 2922: 2918: 2914: 2910: 2906: 2902: 2898: 2894: 2890: 2886: 2882: 2878: 2874: 2870: 2866: 2862: 2858: 2854: 2850: 2846: 2842: 2838: 2834: 2830: 2826: 2822: 2818: 2814: 2810: 2806: 2802: 2798: 2797:Joseph Larmor 2794: 2790: 2786: 2782: 2778: 2774: 2770: 2766: 2762: 2758: 2754: 2750: 2746: 2742: 2741:J. J. Thomson 2738: 2734: 2733:Ray Lankester 2730: 2726: 2722: 2718: 2717:George Darwin 2714: 2710: 2706: 2702: 2698: 2694: 2690: 2686: 2682: 2678: 2674: 2670: 2666: 2662: 2658: 2654: 2650: 2646: 2645:Joseph Lister 2642: 2638: 2634: 2633: 2630: 2625: 2618: 2613: 2611: 2606: 2604: 2599: 2598: 2595: 2587: 2586: 2581: 2577: 2573: 2571: 2568: 2566: 2563: 2560: 2556: 2555: 2550: 2549:"G. H. Hardy" 2546: 2541: 2533: 2529: 2526: 2524: 2520: 2517: 2515: 2511: 2508: 2507: 2503: 2497: 2491: 2487: 2482: 2478: 2472: 2467: 2466: 2460: 2456:Reprinted as 2453: 2448: 2447:"G. H. Hardy" 2443: 2439: 2435: 2433:0-671-75061-5 2429: 2424: 2423: 2416: 2415: 2411: 2403: 2402:www.bbc.co.uk 2399: 2393: 2390: 2377: 2370: 2367: 2355: 2354: 2349: 2342: 2339: 2331: 2327: 2320: 2313: 2310: 2306:. p. 81. 2305: 2304: 2296: 2293: 2281: 2277: 2276:Cricket Blogs 2273: 2266: 2264: 2260: 2247: 2242: 2239:(2): 96–102. 2238: 2234: 2230: 2223: 2220: 2215: 2211: 2204: 2202: 2198: 2194: 2188: 2186: 2182: 2177: 2173: 2169: 2165: 2161: 2157: 2153: 2149: 2142: 2139: 2134: 2130: 2127:(2): 81–138. 2126: 2122: 2118: 2111: 2108: 2103: 2101:0-19-853347-0 2097: 2093: 2092: 2084: 2081: 2069: 2065: 2059: 2056: 2044: 2040: 2034: 2031: 2018: 2014: 2008: 2005: 2000: 1999: 1994: 1987: 1984: 1978: 1973: 1969: 1965: 1961: 1954: 1951: 1946: 1942: 1938: 1934: 1930: 1924: 1921: 1908: 1904: 1898: 1896: 1892: 1884: 1877: 1871: 1868: 1863: 1859: 1854: 1849: 1845: 1842: 1841: 1836: 1829: 1826: 1822: 1817: 1814: 1798: 1791: 1785: 1782: 1778: 1777:Penguin books 1772: 1770: 1768: 1766: 1764: 1762: 1760: 1758: 1754: 1749: 1745: 1741: 1737: 1733: 1729: 1725: 1718: 1715: 1710: 1706: 1702: 1698: 1694: 1690: 1686: 1679: 1676: 1671: 1670: 1662: 1659: 1654: 1650: 1646: 1642: 1638: 1634: 1630: 1624: 1621: 1618: 1614: 1611:was 2nd, and 1610: 1609:J. F. Cameron 1606: 1600: 1597: 1592: 1588: 1582: 1579: 1575: 1574:0-684-19259-4 1571: 1567: 1566: 1561: 1556: 1553: 1547: 1544: 1539: 1533: 1529: 1528: 1520: 1517: 1513: 1511:1-85702-829-5 1507: 1503: 1498: 1497: 1491: 1490:Hoffman, Paul 1485: 1481: 1477: 1476: 1468: 1465: 1460: 1454: 1450: 1446: 1440: 1437: 1433: 1429: 1426: 1421: 1418: 1415: 1411: 1406: 1403: 1399: 1395: 1394: 1389: 1388:"G. H. Hardy" 1385: 1378: 1376: 1372: 1366: 1363: 1358: 1354: 1349: 1344: 1340: 1336: 1332: 1325: 1323: 1321: 1319: 1317: 1315: 1311: 1305: 1300: 1295: 1292: 1290: 1287: 1285: 1282: 1280: 1277: 1275: 1272: 1270: 1267: 1265: 1262: 1260: 1257: 1255: 1254: 1250: 1248: 1245: 1243: 1240: 1238: 1235: 1233: 1230: 1228: 1225: 1223: 1220: 1218: 1215: 1213: 1210: 1208: 1205: 1203: 1200: 1198: 1195: 1194: 1189: 1183: 1177: 1173: 1169: 1164: 1157: 1156: 1151: 1147: 1142: 1138: 1134: 1130: 1128:0-19-853340-3 1124: 1119: 1118: 1112: 1107: 1105: 1100: 1096: 1092: 1088: 1084: 1080: 1076: 1070: 1066: 1061: 1057: 1051: 1047: 1043: 1042: 1036: 1032: 1026: 1022: 1018: 1014: 1011:. Revised by 1010: 1006: 1005:Wright, E. M. 1001: 997: 991: 987: 986: 980: 977: 973: 969: 965: 960: 954: 950: 946: 945: 939: 938: 934: 932: 930: 929: 924: 920: 919: 914: 910: 909: 904: 903:David Leavitt 900: 899: 894: 886: 883: 881: 877: 876:Mount Everest 873: 869: 860: 858: 854: 852: 847: 845: 840: 838: 834: 830: 825: 823: 818: 814: 810: 806: 802: 797: 790: 788: 786: 782: 778: 773: 768: 766: 765:Bose–Einstein 762: 758: 754: 750: 746: 740: 736: 734: 733: 728: 724: 720: 719: 710: 708: 706: 701: 699: 695: 691: 686: 684: 680: 676: 672: 668: 663: 661: 657: 653: 649: 645: 641: 637: 633: 629: 625: 621: 616: 613: 611: 610:hydrodynamics 607: 603: 599: 595: 591: 587: 579: 577: 575: 571: 566: 564: 559: 557: 553: 549: 548:Oswald Veblen 545: 541: 537: 533: 529: 525: 520: 518: 514: 509: 507: 503: 498: 496: 492: 488: 484: 480: 476: 475:Augustus Love 472: 468: 464: 460: 455: 453: 448: 446: 445: 440: 439: 434: 433: 428: 424: 420: 412: 410: 408: 404: 390: 385: 381: 379: 378: 372: 370: 366: 362: 358: 354: 353:number theory 350: 349:mathematician 345: 341: 332: 329: 328:Ethel Newbold 326: 322: 319: 315: 312: 308: 304: 300: 299:Robert Rankin 296: 292: 288: 284: 280: 276: 273: 269: 266: 262: 259: 255: 252: 248: 245: 241: 238: 235: 231: 228: 224: 220: 215: 210: 205: 200: 195: 194:Smith's Prize 191: 188: 184: 181: 177: 173: 169: 165: 161: 157: 153: 149: 145: 141: 137: 134: 130: 127: 124: 120: 117: 114: 110: 105: 95: 91: 86: 69: 65: 52: 47: 42: 33: 30: 19: 4286:Tom Leinster 4232:Herman Gluck 4222:Bjorn Poonen 4128:Eric Kostlan 4124:Alan Edelman 3980:Reuben Hersh 3976:Martin Davis 3970:Peter D. Lax 3964:Carl D. Olds 3924:Jack K. Hale 3851: 3772: (2017) 3766: (1997) 3760: (1995) 3754: (1969) 3748: (1963) 3742: (1931) 3736: (1919) 3733: 3730: (1897) 3724: (1883) 3718: (1861) 3712: (1827) 3710:Baden Powell 3706: (1810) 3700: (1797) 3694: (1766) 3688: (1765) 3686:Joseph Betts 3682: (1742) 3676: (1704) 3670: (1649) 3664: (1631) 3662:Peter Turner 3658: (1619) 3656:Henry Briggs 3637: (2012) 3631: (1999) 3625: (1994) 3619: (1960) 3613: (1932) 3607: (1893) 3601: (1870) 3595: (1842) 3589: (1839) 3583: (1827) 3577: (1810) 3571: (1763) 3565: (1721) 3559: (1712) 3553: (1709) 3551:John Caswell 3547: (1691) 3541: (1673) 3535: (1661) 3529: (1649) 3523: (1642) 3521:John Greaves 3517: (1620) 3507:of Astronomy 3445:Andrew Wiles 3389:R. A. Rankin 3381:W. K. Hayman 3277:G. I. Taylor 3181:E. W. Hobson 3004: 2989:Oswald Avery 2957:Thomas Lewis 2917:Arthur Evans 2653:Eduard Suess 2585:ScienceWorld 2583: 2552: 2485: 2464: 2451: 2421: 2401: 2392: 2380:. Retrieved 2369: 2357:. Retrieved 2353:The Guardian 2351: 2341: 2325: 2312: 2301: 2295: 2285:19 September 2283:. Retrieved 2280:ESPNcricinfo 2275: 2250:. Retrieved 2236: 2232: 2222: 2209: 2192: 2151: 2147: 2141: 2124: 2120: 2110: 2090: 2083: 2071:. Retrieved 2067: 2058: 2046:. Retrieved 2042: 2033: 2021:. Retrieved 2016: 2007: 1997: 1992: 1986: 1967: 1963: 1953: 1932: 1929:Bohr, Harald 1923: 1911:. Retrieved 1906: 1903:"G.H. Hardy" 1870: 1843: 1838: 1828: 1816: 1804:. Retrieved 1784: 1731: 1727: 1717: 1692: 1688: 1678: 1668: 1661: 1636: 1632: 1623: 1599: 1590: 1581: 1563: 1555: 1546: 1526: 1519: 1495: 1473: 1467: 1448: 1439: 1420: 1405: 1391: 1365: 1338: 1334: 1251: 1167: 1155:Inequalities 1154: 1116: 1064: 1046:T. W. Körner 1040: 1021:Andrew Wiles 1008: 984: 975: 967: 943: 935:Bibliography 926: 916: 906: 896: 893:Jeremy Irons 890: 862: 857:Paul Hoffman 855: 848: 841: 826: 817:J. M. Keynes 798: 794: 784: 771: 769: 742: 738: 731: 716: 714: 702: 687: 664: 640:prime number 617: 614: 601: 594:Isaac Newton 583: 567: 560: 521: 516: 510: 501: 499: 482: 456: 449: 442: 436: 430: 416: 400: 396: 1910s 375: 373: 339: 338: 311:E. M. Wright 295:Richard Rado 287:Cyril Offord 243:Institutions 226: 219:Copley Medal 98:(1947-12-01) 29: 4358:1947 deaths 4353:1877 births 4118:Tom Hawkins 4112:Joan Birman 4100:Barry Mazur 4040:George Miel 4010:Heinz Bauer 3934:Guido Weiss 3918:Leon Henkin 3882:Paul Halmos 3852:G. H. Hardy 3840:G. A. Bliss 3668:John Wallis 3648:of Geometry 3629:Joseph Silk 3397:J. A. Green 3317:Kurt Mahler 3301:Philip Hall 3173:W. H. Young 3157:Horace Lamb 3141:H. F. Baker 3109:Felix Klein 3005:G. H. Hardy 2813:Horace Lamb 2757:James Dewar 2749:Ivan Pavlov 2725:Felix Klein 2626:(1901–1950) 2442:Snow, C. P. 1970:(1): 1–10. 1613:James Jeans 1487:. Cited in 1410:G. H. Hardy 1294:Ulam spiral 1279:Hardy field 1217:Hardy space 1172:C. D. Broad 976:A Good Read 809:G. E. Moore 791:Personality 660:Harald Bohr 648:conjectures 536:New College 528:World War I 452:factorising 432:Don Quixote 237:Mathematics 199:Royal Medal 176:Hardy field 152:Hardy space 112:Nationality 60: 1927 36:G. H. Hardy 4347:Categories 4312:Ezra Brown 4252:Ravi Vakil 4164:Brian Wick 4160:Stan Wagon 4140:Don Zagier 3829:recipients 3752:Ioan James 3692:John Smith 3557:John Keill 3349:K. F. Roth 3293:Max Newman 3117:S. Roberts 2933:Niels Bohr 2861:Max Planck 1306:References 949:C. P. Snow 866:prove the 822:C. P. Snow 761:Niels Bohr 407:Paul ErdĹ‘s 291:Harry Pitt 77:1877-02-07 3527:Seth Ward 3165:J. Larmor 2459:Snow, C.P 2168:1674-7992 1748:0002-9890 1709:0002-9890 1653:146374699 1615:was 3rd. 1607:was 1st, 1484:0971-751X 1475:The Hindu 1357:162237076 1150:PĂłlya, G. 1104:Full text 1007:(2008) . 964:Full text 928:Ramanujan 880:Mussolini 753:Ramanujan 700:in 1939. 513:Ramanujan 459:Cranleigh 419:Cranleigh 413:Biography 104:Cambridge 85:Cranleigh 3940:Mark Kac 3888:Mark Kac 2532:LibriVox 2444:(1967). 2382:21 April 2359:21 April 2330:Archived 2176:28363771 1964:Heredity 1913:29 March 1883:Archived 1806:16 April 1797:Archived 1492:(1998), 1428:Archived 1190:See also 1152:(1934). 1083:49005496 978:in 2007. 839:class". 803:and the 781:Einstein 2578:(ed.). 2521:at the 2252:31 July 2195:, 1992 1993:Apology 1945:3172542 1862:1561815 1412:at the 1091:0030620 837:Bradman 785:Apology 777:Maxwell 772:Apology 732:Apology 727:applied 679:cricket 526:during 361:biology 116:British 55:Hardy, 4324:& 4314:& 4294:& 4266:& 4238:& 4190:& 4162:, and 3447:(2019) 3439:(2016) 3431:(2013) 3423:(2010) 3415:(2007) 3407:(2004) 3399:(2001) 3391:(1998) 3383:(1995) 3375:(1992) 3367:(1989) 3359:(1986) 3351:(1983) 3343:(1980) 3335:(1977) 3327:(1974) 3319:(1971) 3311:(1968) 3303:(1965) 3295:(1962) 3287:(1959) 3279:(1956) 3271:(1953) 3263:(1950) 3255:(1947) 3247:(1944) 3239:(1941) 3231:(1938) 3223:(1935) 3215:(1932) 3207:(1929) 3199:(1926) 3191:(1923) 3183:(1920) 3175:(1917) 3167:(1914) 3159:(1911) 3151:(1908) 3143:(1905) 3135:(1902) 3127:(1899) 3119:(1896) 3111:(1893) 3103:(1890) 3095:(1887) 3087:(1884) 3031:(1950) 3023:(1949) 3015:(1948) 3007:(1947) 2999:(1946) 2991:(1945) 2983:(1944) 2975:(1943) 2967:(1942) 2959:(1941) 2951:(1940) 2943:(1939) 2935:(1938) 2927:(1937) 2919:(1936) 2911:(1935) 2903:(1934) 2895:(1933) 2887:(1932) 2879:(1931) 2871:(1930) 2863:(1929) 2855:(1928) 2847:(1927) 2839:(1926) 2831:(1925) 2823:(1924) 2815:(1923) 2807:(1922) 2799:(1921) 2791:(1920) 2783:(1919) 2775:(1918) 2767:(1917) 2759:(1916) 2751:(1915) 2743:(1914) 2735:(1913) 2727:(1912) 2719:(1911) 2711:(1910) 2703:(1909) 2695:(1908) 2687:(1907) 2679:(1906) 2671:(1905) 2663:(1904) 2655:(1903) 2647:(1902) 2639:(1901) 2492:  2473:  2430:  2174:  2166:  2098:  1943:  1860:  1746:  1707:  1651:  1572:  1534:  1508:  1482:  1455:  1355:  1178:  1137:823424 1135:  1125:  1099:808787 1097:  1089:  1081:  1071:  1052:  1027:  992:  955:  586:rigour 540:Oxford 441:, and 423:Bursar 233:Fields 221:(1947) 216:(1940) 211:(1932) 206:(1929) 201:(1920) 196:(1901) 186:Awards 4330:2024 4320:2023 4306:2022 4300:2021 4290:2020 4284:2019 4278:2018 4272:2017 4262:2016 4256:2015 4250:2014 4244:2013 4226:2012 4220:2011 4214:2010 4208:2009 4202:2008 4196:2007 4186:2006 4180:2005 4174:2004 4168:2003 4154:2002 4144:2001 4138:2000 4132:1999 4122:1998 4116:1997 4110:1996 4104:1995 4098:1994 4084:1993 4078:1992 4068:1991 4062:1990 4056:1989 4050:1988 4044:1987 4038:1986 4032:1985 4026:1984 4014:1981 4008:1980 4002:1979 3996:1978 3990:1977 3984:1976 3974:1975 3968:1974 3962:1973 3956:1972 3950:1971 3944:1970 3938:1968 3932:1967 3922:1965 3916:1964 3910:1963 3904:1960 3898:1956 3892:1953 3886:1950 3880:1947 3874:1944 3868:1941 3862:1938 3856:1935 3850:1932 3844:1929 3838:1925 2333:(PDF) 2322:(PDF) 2172:S2CID 2073:8 May 2048:8 May 2023:8 May 1886:(PDF) 1879:(PDF) 1800:(PDF) 1793:(PDF) 1649:S2CID 1504:–83, 1353:S2CID 1301:Notes 1159:(PDF) 833:Hobbs 652:first 596:(see 538:) at 359:. 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Index

Godfrey H. Hardy
FRS

Cranleigh
Cambridge
British
Trinity College, Cambridge
Hardy–Weinberg principle
Hardy–Ramanujan asymptotic formula
Critical line theorem
Hardy–Littlewood tauberian theorem
Hardy space
Hardy notation
Hardy–Littlewood inequality
Hardy's inequality
Hardy's theorem
Hardy–Littlewood circle method
Hardy field
Hardy–Littlewood zeta function conjectures
Fellow of the Royal Society
Smith's Prize
Royal Medal
De Morgan Medal
Chauvenet Prize
Sylvester Medal
Copley Medal
Mathematics
University of Cambridge
University of Oxford
A. E. H. Love

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