| 词条 | Jesse Douglas |
| 释义 |
| name = Jesse Douglas | image = | caption = | birth_date = {{birth date|1897|7|3}} | birth_place = New York City, New York, United States | death_date = {{death date and age|1965|9|7|1897|7|3}} | death_place = New York City, New York, United States | known_for = Calculus of variations Differential geometry | fields = Mathematics | doctoral_advisor = Edward Kasner | workplaces = City College of New York MIT | alma_mater = City College of New York Columbia University | spouse = {{marriage|Jessie Nayler |1940|1955}} | children = Lewis Philip Douglas | awards = Fields Medal (1936) Bôcher Memorial Prize (1943) }} Jesse Douglas (3 July 1897 – 7 September 1965) was an American mathematician and Fields Medalist known for his general solution of the Problem of Plateau. Life and careerHe was born to a Jewish family[1] in New York City, the son of Sarah (née Kommel) and Louis Douglas. He attended City College of New York as an undergraduate, graduating with honors in Mathematics in 1916. He then moved to Columbia University as a graduate student, obtaining a PhD in mathematics in 1920.[2] Douglas was one of two winners of the first Fields Medals, awarded in 1936. He was honored for solving, in 1930, the problem of Plateau, which asks whether a minimal surface exists for a given boundary. The problem, open since 1760 when Lagrange raised it, is part of the calculus of variations and is also known as the soap bubble problem. Douglas also made significant contributions to the inverse problem of the calculus of variations. The American Mathematical Society awarded him the Bôcher Memorial Prize in 1943. Douglas later became a full professor at the City College of New York (CCNY), where he taught until his death. At the time CCNY only offered undergraduate degrees and Professor Douglas taught the advanced calculus course. Sophomores (and freshmen with advanced placement) were privileged to get their introduction to real analysis from a Fields medalist. Selected papers
| last = Douglas | first = Jesse | title = Solution of the problem of Plateau | journal = Trans. Amer. Math. Soc. | volume = 33 | year = 1931 | issue = 1 | pages = 263–321 | doi = 10.2307/1989472 | jstor = 1989472
| last = Douglas | first = Jesse | title = Green's function and the problem of Plateau | journal = American Journal of Mathematics | volume = 61 | year = 1939 | pages = 545–589 | doi = 10.2307/2371314 | jstor = 2371314 | issue = 3 | pmc = 1077111
| last = Douglas | first = Jesse | title = The most general form of the problem of Plateau | journal = American Journal of Mathematics | volume = 61 | year = 1939 | pages = 590–608 | doi = 10.2307/2371315 | jstor = 2371315 | issue = 3 | pmc = 1077112
| last = Douglas | first = Jesse | title = Solution of the inverse problem of the calculus of variations | journal = Proceedings of the National Academy of Sciences | volume = 25 | year = 1939 | pages = 631–637 | doi = 10.1073/pnas.25.12.631 | issue = 12 | pmc = 1077987
| last = Douglas | first = Jesse | title = A new special form of the linear element of a surface | journal = Trans. Amer. Math. Soc. | volume = 48 | year = 1940 | pages = 101–116 | mr = 0002242 | doi=10.1090/s0002-9947-1940-0002242-2 }} See also
Notes1. ^Peter Lax, Mathematician: An Illustrated Memoir, by Reuben Hersh(American Mathematical Soc. 2014), page 102 2. ^http://www-history.mcs.st-andrews.ac.uk/Biographies/Douglas.html References
Further reading
| first = Jeremy | last = Gray | author-link = | author = | author2 =Micallef, Mario | date = | year = 2008 | title = The Work Of Jesse Douglas On Minimal Surfaces | quote = | journal = Bulletin (New Series) of the American Mathematical Society | volume = 45 | issue = 2 | pages = 293–302 | doi = | id = | url = | format = | access-date = February 12, 2018 External links
15 : 20th-century American mathematicians|Fields Medalists|American Jews|Institute for Advanced Study visiting scholars|Mathematical analysts|Columbia University alumni|Guggenheim Fellows|Jewish scientists|1897 births|1965 deaths|City College of New York faculty|Variational analysts|Differential geometers|Scientists from New York City|Mathematicians from New York (state) |
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