| 词条 | G. N. Watson |
| 释义 |
|birth_name = George Neville Watson |caption = George Neville Watson |birth_date = {{birth date|df=yes|1886|01|31}} |birth_place = Westward Ho! |death_date = {{death date and age|df=yes|1965|02|02|1886|01|31}} |death_place = Leamington Spa, Warwickshire |residence = |citizenship = |nationality = United Kingdom |ethnicity = |field = mathematics | doctoral_advisor = E. T. Whittaker[1] |work_institutions = University of Birmingham University of Cambridge |alma_mater = Trinity College, Cambridge |doctoral_students = |academic_advisors = |known_for = Whittaker and Watson text Watson's quintuple product identity |author_abbrev_bot = |author_abbrev_zoo = |influences = |influenced = |prizes = Smith's Prize (1909) Sylvester Medal (1946) De Morgan Medal {{small|(1947)}} Fellow of the Royal Society[2] |footnotes = |signature = }} Prof George Neville Watson FRS HFRSE LLD (31 January 1886 – 2 February 1965) was an English mathematician, who applied complex analysis to the theory of special functions. His collaboration on the 1915 second edition of E. T. Whittaker's A Course of Modern Analysis (1902) produced the classic "Whittaker and Watson" text. In 1918 he proved a significant result known as Watson's lemma, that has many applications in the theory on the asymptotic behaviour of exponential integrals.[2][3][4] LifeHe was born in Westward Ho! in Devon the son of George Wentworth Watson, a schoolmaster and genealogist, and his wife, Mary Justina Griffith.[5] He was educated at St Paul's School in London, as a pupil of F. S. Macaulay. He then studied Mathematics at Trinity College, Cambridge. There he encountered E. T. Whittaker, though their overlap was only two years. From 1914 to 1918 he lectured in Mathematics at University College, London.He became Professor of Pure Mathematics at the University of Birmingham in 1918, replacing Prof R S Heath, and remained in this role until 1951.[6] He was awarded an honorary MSc Pure Science in 1919 by Birmingham University.[7] He was President of the London Mathematical Society 1933/35. He died at Leamington Spa on 2 February 1965. WorksHis Treatise on the theory of Bessel functions (1922)[8] also became a classic, in particular in regard to the asymptotic expansions of Bessel functions. He subsequently spent many years on Ramanujan's formulae in the area of modular equations, mock theta functions[9] and q-series, and for some time looked after Ramanujan's lost notebook. {{blockquote|Sometime in the late 1920s, G. N. Watson and B. M. Wilson began the task of editing Ramanujan's notebooks. The second notebook, being a revised, enlarged edition of the first, was their primary focus. Wilson was assigned Chapters 2–14, and Watson was to examine Chapters 15–21. Wilson devoted his efforts to this task until 1935, when he died from an infection at the early age of 38. Watson wrote over 30 papers inspired by the notebooks before his interest evidently waned in the late 1930s.[10]}}Ramanujan discovered many more modular equations than all of his mathematical predecessors combined. Watson provided proofs for most of Ramanujan's modular equations. Bruce C. Berndt completed the project begun by Watson and Wilson. Much of Berndt's book Ramanujan's Notebooks, Part 3 (1998) is based upon the prior work of Watson.[11] Watson's interests included solvable cases of the quintic equation. He introduced Watson's quintuple product identity. Honours and awardsIn 1919 Watson was elected a Fellow of the Royal Society,[2] and in 1946, he received the Sylvester Medal from the Society. He was president of the London Mathematical Society from 1933 to 1935. He is sometimes confused with the mathematician G. L. Watson, who worked on quadratic forms, and G. Watson, a statistician. FamilyIn 1925 he married Elfrida Gwenfil Lane daughter of Thomas Wright Lane.[12] References1. ^{{MathGenealogy|id=23724}} {{Authority control}}{{DEFAULTSORT:Watson, George Neville}}2. ^1 2 {{Cite journal | last1 = Whittaker | first1 = J. M. | doi = 10.1098/rsbm.1966.0026 | title = George Neville Watson 1886-1965 | journal = Biographical Memoirs of Fellows of the Royal Society | volume = 12 | pages = 520–526 | year = 1966 }} 3. ^{{Cite journal | last1 = Rankin | first1 = R. A. | title = George Neville Watson | doi = 10.1112/jlms/s1-41.1.551 | journal = Journal of the London Mathematical Society | pages = 551–565 | year = 1966 | volume=s1-41}} 4. ^{{MacTutor Biography|id=Watson}} 5. ^{{cite book|title=Biographical Index of Former Fellows of the Royal Society of Edinburgh 1783–2002|date=July 2006|publisher=The Royal Society of Edinburgh|isbn=978-0-902198-84-5|url=https://www.royalsoced.org.uk/cms/files/fellows/biographical_index/fells_indexp2.pdf}} 6. ^{{cite book|title=Biographical Index of Former Fellows of the Royal Society of Edinburgh 1783–2002|date=July 2006|publisher=The Royal Society of Edinburgh|isbn=978-0-902198-84-5|url=https://www.royalsoced.org.uk/cms/files/fellows/biographical_index/fells_indexp2.pdf}} 7. ^{{cite web|title=University campus Blue Plaque Trail|url=http://bhamalumni.org/NetCommunity/Page.aspx?pid=1111&frcrld=1|publisher=Birmingham University|accessdate=12 November 2014}} 8. ^{{cite journal|author=Carmichael, R. D.|authorlink=Robert Daniel Carmichael|title=Review: A Treatise on the Theory of Bessel Functions, by G. N. Watson|journal=Bull. Amer. Math. Soc.|year=1924|volume=30|issue=7|pages=362–364|url=http://www.ams.org/journals/bull/1924-30-07/S0002-9904-1924-03906-8/|doi=10.1090/s0002-9904-1924-03906-8}} 9. ^{{cite journal|author=Watson, G. N.|title=The mock theta functions (2)|journal=Proceedings of the London Mathematical Society|year=1937|volume=2|issue=1|pages=274–304|doi=10.1112/plms/s2-42.1.274}} 10. ^{{cite web|author=Berndt, Bruce C.|title=An overview of Ramanujan's notebooks|page=3|postscript=; paper delivered at Proc. Conf. Karl der Grosse|website=math.uiuc.edu/~berndt/articles/aachen.pdf|url=http://www.math.uiuc.edu/~berndt/articles/aachen.pdf}} 11. ^{{Cite|url=http://eprints.uni-mysore.ac.in/9771/|author=Adiga, B.|author2=Berndt, B. C.|author3=Bhargava, S.|author4=Watson, G. N.|title=Ramanujan's second notebook: Theta-functions and q-series Chap. 16|publisher=Amer. Math. Soc.|location=Providence, Rhode Island|year=1985|volume=53|issue=315|pages=1–85}} 12. ^http://www-history.mcs.st-and.ac.uk/Obits2/Watson_RSE_Obituary.html 12 : 1886 births|1965 deaths|People from Devon|20th-century mathematicians|English mathematicians|Mathematical analysts|People educated at St Paul's School, London|Academics of the University of Birmingham|Senior Wranglers|Fellows of the Royal Society|De Morgan Medallists|Alumni of Trinity College, Cambridge |
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