| 词条 | Ernst Kötter |
| 释义 |
| name = Ernst Kötter | native_name = | native_name_lang = | image = | imagesize = | alt = | caption = | birth_date = {{birth date|1859|8|7|df=y}} | birth_place = Berlin | death_date = {{death date and age|1922|1|26|1859|8|7|df=y}}[1] | death_place = Aachen | death_cause = | resting_place = | resting_place_coordinates = | other_names = | residence = Berlin, Aachen (Germany) | citizenship = | nationality = | fields = Mathematician | workplaces = | patrons = | alma_mater = Berlin University | thesis_title = Zur Theorie der Osculationen bei ebenen Curven 3. Ordnung | thesis_url = http://gdz-lucene.tc.sub.uni-goettingen.de/gcs/gcs?action=pdf&metsFile=PPN315205407&divID=LOG_0001&pagesize=original&pdfTitlePage=http://gdz.sub.uni-goettingen.de/dms/load/pdftitle/?metsFile=PPN315205407%7C&targetFileName=PPN315205407_LOG_0001.pdf& | thesis_year = 1884 | doctoral_advisor = | academic_advisors = Weierstraß, Kronecker | doctoral_students = | notable_students = | known_for = | influences = | influenced = | awards = Price of the Berlin Royal Academy, 1886 | author_abbrev_bot = | author_abbrev_zoo = | spouse = | partner = | children = | signature = | signature_alt = | website = | footnotes = }} Ernst Kötter was a German mathematician who graduated in 1884 from Berlin University. His treatise "Fundamentals of a purely geometrical theory of algebraic plane curves" gained the 1886 prize of the Berlin Royal Academy.[2] In 1901, he published his report on "The development of synthetic geometry from Monge to Staudt (1847)";[3] it had been sent to the press as early as 1897, but completion was deferred by Kötter's appointment to Aachen University and a subsequent persisting illness.[4] He constructed a mobile wood model to illustrate the theorems of Dandelin spheres.[5][6] In a discussion with Schoenflies and Kötter, Hilbert reportedly uttered his famous quotation according to which points, lines, and planes in geometry could be named as well "tables, chairs, and beer mugs".[7] Publications
References1. ^German National Library: Record Xml {{Authority control}}{{DEFAULTSORT:Kotter, Ernst}}{{Germany-mathematician-stub}}2. ^{{cite journal| author=Norman Fraser| title=Kötter's synthetic geometry of algebraic curves| journal=Proceedings of the Edinburgh Mathematical Society|date=Feb 1888| volume=7| pages=46–61| url=http://journals.cambridge.org/action/displayFulltext?type=1&fid=3146652&jid=PEM&volumeId=7&issueId=-1&aid=3131388&bodyId=&membershipNumber=&societyETOCSession=| doi=10.1017/s0013091500030364}} Here: p.46 3. ^{{cite book| author=Ernst Kötter| title=Die Entwickelung der Synthetischen Geometrie von Monge bis auf Staudt (1847)| year=1901 |url=http://gdz-lucene.tc.sub.uni-goettingen.de/gcs/gcs?&action=pdf&metsFile=PPN37721857X_0005&divID=LOG_0035&pagesize=original&pdfTitlePage=http://gdz.sub.uni-goettingen.de/dms/load/pdftitle/?metsFile=PPN37721857X_0005%7C&targetFileName=PPN37721857X_0005_LOG_0035.pdf&}} (2012 Reprint as {{ISBN|1275932649}}) 4. ^Kötter (1901), Preface, p.VIII 5. ^{{cite journal| journal=Jahresbericht der Deutschen Mathematiker-Vereinigung| volume=16 | year=1907 | title=Vermischtes (Miscellany) |page=82 |url=http://gdz.sub.uni-goettingen.de/dms/load/img/?PPN=PPN37721857X_0016&DMDID=DMDLOG_0016}} 6. ^Illustration of Groningen University 7. ^{{cite book| author=Otto Blumenthal| title=Lebensgeschichte| year=1935| volume=3| pages=388–429| publisher=Julius Springer| editor=David Hilbert| series=Gesammelte Abhandlungen| url=http://gdz-lucene.tc.sub.uni-goettingen.de/gcs/gcs?action=pdf&metsFile=PPN237834022&divID=LOG_0001&pagesize=original&pdfTitlePage=http://gdz.sub.uni-goettingen.de/dms/load/pdftitle/?metsFile=PPN237834022%7C&targetFileName=PPN237834022_LOG_0001.pdf&}} Here: p.402-403 5 : German mathematicians|19th-century mathematicians|Geometers|1859 births|1922 deaths |
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