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. Zu seinen Doktoranden zählen Irving Good, Sydney Chapman, Mary Cartwright, S. Ramanujan (als Bachelor-Abschluss für seine Forschung 1916, Ph. Wiedergegeben zum Beispiel in Steven G. Krantz: strenge Begriffsklärung und Beweisführung, Literatur von und über Godfrey Harold Hardy, Berlin-Brandenburgische Akademie der Wissenschaften, Hardy-Littlewood Conjectures bei Wolfram Mathworld, https://de.wikipedia.org/w/index.php?title=Godfrey_Harold_Hardy&oldid=203529027, Hochschullehrer (University of Cambridge), Mitglied der Preußischen Akademie der Wissenschaften, Mitglied der Leopoldina (20. 1903 erhielt er den M.A., den damals höchsten akademischen Grad an englischen Universitäten; ab 1906 war er Dozent (lecturer) mit sechs Vorlesungsstunden pro Woche, was ihm reichlich Zeit zur Forschung ließ. This was a major factor in the development of number theory as a system of conjectures; examples are the first and second Hardy–Littlewood conjectures. In 1896, he entered Trinity College, Cambridge. Kreismethode) verwendeten, die bis heute ein Standardverfahren darstellt.
Although Hardy dismissed most of his early works as of little importance, he is still remembered for his 1908 work, ‘A Course of Pure Mathematics’, which for the first time tries to provide a comprehensive description of number, function, limit, etc. So beteiligte er sich während des Ersten Weltkriegs an der Union of Democratic Control und in den späten 30er-Jahren an der Aktion For Intellectual Liberty. In diese Zeit fällt seine Zusammenarbeit mit dem indischen Naturtalent S. Ramanujan, das er entdeckt hatte und zu dessen durch Inspiration gefundene mathematische Sätze er exakte Beweise ausarbeitete.
A mathematician, like a painter or a poet, is a maker of patterns. He was highly passionate about cricket. He made several statements similar to that in his Apology: I have never done anything "useful".
Moreover, he is credited for developing the field population genetics and forwarding the Hardy-Weinberg principle. The school was famed for its mathematical teachings. By then, he was deeply displeased with the authorities of Cambridge University over the dismissal of Bertrand Russell, the well-known mathematician and pacifist, and therefore took the chance of leaving Cambridge. When just two years old, he wrote numbers up to millions, and when taken to church he amused himself by factorising the numbers of the hymns. Hardy was an atheist. [7]:2, G. H. Hardy was born on 7 February 1877, in Cranleigh, Surrey, England, into a teaching family. Hardy was extremely shy as a child, and was socially awkward, cold and eccentric throughout his life. Hardy's collaboration with Littlewood is among the most successful and famous collaborations in mathematical history. [19] Hardy bezog sich hier auf einen jungen Mann, der ihm Finnegans Wake von James Joyce als größtes literarisches Werk aller Zeiten anpries. But he hated to receive them because the prize giving ceremonies were traditionally attended by the entire school.
[23] A mutual interest in cricket led him to befriend the young C. P. In prime number theory, they proved results and some notable conditional results. Les non-mathématiciens le connaissent surtout pour deux choses : Après sa scolarité à Winchester, Hardy entra au Trinity College (Cambridge) après avoir été quatrième à l'examen du Tripos. G. H. Hardy. Un article de Wikipédia, l'encyclopédie libre. Seine Arbeitsgebiete waren Analysis und Zahlentheorie. J E Littlewood, G Pólya, L J Mordell, E C Titchmarsh, H Davenport and N Wiener, Two statements concerning the article on G H Hardy.
Hardy did not enjoy school; life there was too harsh for a shy and frail boy like him. He simply thought of the subject “in terms of examinations and scholarships” and also found that if he wanted to beat other boys, mathematics came very handy. If his patterns are more permanent than theirs, it is because they are made with ideas.”, „Ein Mathematiker erschafft – wie ein Maler oder ein Dichter – Muster.
[citation needed], From 1911, he collaborated with John Edensor Littlewood, in extensive work in mathematical analysis and analytic number theory. Godfrey Harold Hardy, more popularly known as … "[22]:33 Hardy also rejected as a "delusion" the belief that the difference between pure and applied mathematics had anything to do with their utility.
But while studying at Trinity College Cambridge, he was drawn to Continental mathematics and later contributed significantly to different realms of mathematics, especially analysis and number theory. [1]:448 In 1919 he left Cambridge to take the Savilian Chair of Geometry (and thus become a Fellow of New College[13]) at Oxford in the aftermath of the Bertrand Russell affair during World War I. Hardy spent the academic year 1928–1929 at Princeton in an academic exchange with Oswald Veblen, who spent the year at Oxford. Von ähnlichen Erfahrungen berichtet Hardy in einer Anekdote: Eines Tages saß er einem Schuljungen im Zug gegenüber, der ein elementares Algebra-Schulbuch las. Abgesehen von der Hardy-Weinberg-Regel sollen einige seiner Ergebnisse aus der Zahlentheorie inzwischen auch in der Kryptographie Verwendung finden. At Cambridge, he continued his collaboration with Littlewood and also co-authored a number of papers with other mathematicians such as Titchmarsh, Ingham, E. M. Wright, Edmund Landau, etc. [9], After schooling at Cranleigh, Hardy was awarded a scholarship to Winchester College for his mathematical work. Dans la théorie des nombres premiers ils prouvèrent aussi des résultats et certains résultats conditionnels (en) notables.
Il est aussi connu pour avoir formulé le principe de Hardy-Weinberg, théorème fondamental en génétique des populations, indépendamment de Wilhelm Weinberg (en) en 1908. When just two years old, he wrote numbers up to millions, and when taken to church he amused himself by factorising the numbers of the hymns.
Keine Entdeckung von mir hat je oder wird wahrscheinlich je, direkt oder indirekt, zum Guten oder Bösen einen Unterschied zum Wohlergehen der Welt machen.“[15] Allerdings hatte er eine eigenwillige Auffassung von „wahrer Mathematik“, zu der er wegen ihrer mathematischen Eleganz auch die Arbeiten von Einstein und Maxwell zählte. [3][4] In biology, he is known for the Hardy–Weinberg principle, a basic principle of population genetics. Enge Freunde sprachen ihn mit „Harold“ an, aber sonst wird er allgemein „G.
Hardy was more in tune with the cours d'analyse methods dominant in France, and aggressively promoted his conception of pure mathematics, in particular against the hydrodynamics that was an important part of Cambridge mathematics.
But shortly after that, as the World War I broke out, Littlewood left to join the Royal Artillery as his war service.
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