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| "'''The Felix Klein Protocols'''" is a collection of handwritten records of the [[University of Göttingen|Göttingen]] seminar lectures of [[Felix Klein]] and his school. They span over 8000 pages in 29 volumes, and are regarded as one of the richest records of mathematical activity in modern times.<ref name="Notices">{{Cite journal
| | The name of the author is Jayson. Invoicing is my occupation. To perform lacross is some thing he would never give up. Mississippi is where his home is.<br><br>Feel free to surf to my web page :: live psychic reading ([http://jplusfn.gaplus.kr/xe/qna/78647 gaplus.kr]) |
| | last = Chislenko
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| | first = Eugene
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| | last2 = Tschinkel
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| | first2 = Yuri
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| | title = The Felix Klein Protocols
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| | journal = [[Notices of the American Mathematical Society]]
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| | volume = 54
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| | pages = 960–970
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| | date = September 2007
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| | issue = 8
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| | postscript = <!--None--> }}</ref>
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| The previously unpublished Klein Protocols were made available digitally in 2006.<ref>{{cite web| title = Felix Klein, Klein Protokolle|url=http://www.uni-math.gwdg.de/aufzeichnungen/klein-scans/}}{{de icon}}</ref>
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| ==Years covered==
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| From 1872 to 1896 Klein conducted his seminars alone, mainly in [[pure mathematics]]. The years 1897–1913 show collaborations with mathematicians such as [[David Hilbert]], [[Karl Schwarzschild]], [[Ludwig Prandtl]], [[Carl Runge]] and [[Hermann Minkowski]].
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| {| class="wikitable"
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| | colspan=3 align=center | '''Klein Protokolle'''
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| | Volume || align=right | Years || Some topics covered
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| | 1 || align=right | 1872–1880 || Seminars on various topics in [[geometry]] and [[algebra]].<br> (Geometric problems of the 3rd and 4th degree; The physical theory of the [[Aurora (astronomy)|northern lights]]; Rational transformations; Elements of arithmetics; Analytic geometry of space; The imaginary in geometry; On scrolls of degree 4; The elements of [[Complex analysis|function theory]]; Investigations on [[algebraic function]]s; Newtonian and logarithmic potential; The distribution of heat in a sphere; The [[Tautochrone curve|tautochrone problem]].)
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| | 2 || align=right | 1880–1881 ||
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| {| class="wikitable"
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| | colspan=3 align=center | ''München, Sommersemester 1880'' || align=center |
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| | align=right | 8. Mai || align = center | [[Walther_von_Dyck|Dyck]] || align=left | Normalform für Irrationalitäten durch regulär verzweigte [[Riemann_surface|Riemannsche Flächen]] || align=right | [http://www.uni-math.gwdg.de/aufzeichnungen/klein-scans/V02-1880-1881/V2-p001_low.jpg 1]
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| | align=right | 15. Mai || align = center | [[Walther_von_Dyck|Dyck]] || align=left | Problem der [[Analysis_Situs_(paper)|Analysis situs]] || align=right | [http://www.uni-math.gwdg.de/aufzeichnungen/klein-scans/V02-1880-1881/V2-p004_low.jpg 4]
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| | align=right | 29. Mai || align = center | [[Luigi_Bianchi|Bianchi]] || align=left | Tetraederirrationalität || align=right | [http://www.uni-math.gwdg.de/aufzeichnungen/klein-scans/V02-1880-1881/V2-p006_low.jpg 6]
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| | align=right | 5. Juni || align = center | [[Luigi_Bianchi|Bianchi]] || align=left | Fortsetzung || align=right | [http://www.uni-math.gwdg.de/aufzeichnungen/klein-scans/V02-1880-1881/V2-p008_low.jpg 8]
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| | align=right | 13. Juni || align = center | [[Luigi_Bianchi|Bianchi]] || align=left | Ikosaederirrationalität || align=right | [http://www.uni-math.gwdg.de/aufzeichnungen/klein-scans/V02-1880-1881/V2-p012_low.jpg 12]
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| | align=right | 4. Juli || align = center | [[Luigi_Bianchi|Bianchi]] || align=left | Fortsetzung || align=right | [http://www.uni-math.gwdg.de/aufzeichnungen/klein-scans/V02-1880-1881/V2-p015_low.jpg 15]
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| | align=right | 11. Juli || align = center | [[Luigi_Bianchi|Bianchi]] || align=left | Fortsetzung || align=right | [http://www.uni-math.gwdg.de/aufzeichnungen/klein-scans/V02-1880-1881/V2-p021_low.jpg 21]
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| | colspan=3 align=center | ''Leipzig, Wintersemester 1880/81'' || align=center |
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| | align=right | 1. Nov || align = center | Lange || align=left | Gestaltliches über Baumkurven 4. Ordnung || align=right | [http://www.uni-math.gwdg.de/aufzeichnungen/klein-scans/V02-1880-1881/V2-p031_low.jpg 31]
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| | align=right | 8. Nov || align = center | [[Walther_von_Dyck|Dyck]] || align=left | Über eine reguläre [[Riemann_surface|Riemannsche Fläche]] vom Geschlechte 3 und der zugehörigen Normalkurve 4ter Ordnung || align=right | [http://www.uni-math.gwdg.de/aufzeichnungen/klein-scans/V02-1880-1881/V2-p036_low.jpg 36]
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| | align=right | 15. Nov || align = center | - || align=left | Freie Besprechung || align=right | [http://www.uni-math.gwdg.de/aufzeichnungen/klein-scans/V02-1880-1881/V2-p042_low.jpg 42]
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| | align=right | 22. Nov || align = center | Baumgart || align=left | Equipollenzen (nach [[Giusto_Bellavitis|Bellavitis]]) || align=right | [http://www.uni-math.gwdg.de/aufzeichnungen/klein-scans/V02-1880-1881/V2-p043_low.jpg 43]
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| | align=right | || align = center | Stöhr || align=left | Kartenprojection || align=right | [http://www.uni-math.gwdg.de/aufzeichnungen/klein-scans/V02-1880-1881/V2-p044_low.jpg 44]
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| | align=right | 29. Nov || align = center | [[Irving_Stringham|Stringham]] || align=left | Vierdimensionale reguläre Körper || align=right | [http://www.uni-math.gwdg.de/aufzeichnungen/klein-scans/V02-1880-1881/V2-p046_low.jpg 46]
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| | align=right | 6. Dez || align = center | [[Adolf_Hurwitz|Hurwitz]] || align=left | Bildung der Modulfunctionen || align=right | [http://www.uni-math.gwdg.de/aufzeichnungen/klein-scans/V02-1880-1881/V2-p067_low.jpg 67]
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| | align=right | 13. Dez || align = center | Büttner || align=left | Convergenz von <math>\prod_{m,n} \left( 1 - \frac{u}{mw_1 + nw_2} \right)</math> || align=right | [http://www.uni-math.gwdg.de/aufzeichnungen/klein-scans/V02-1880-1881/V2-p071_low.jpg 71]
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| | align=right | 20. Dez || align = center | Brunel || align=left | Bestimmung des Geschlechts || align=right | [http://www.uni-math.gwdg.de/aufzeichnungen/klein-scans/V02-1880-1881/V2-p076_low.jpg 76]
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| | align=right | 3. Jan || align = center | [[Giuseppe_Veronese|Veronese]] || align=left | Einige merkwürdige Configurationen || align=right | [http://www.uni-math.gwdg.de/aufzeichnungen/klein-scans/V02-1880-1881/V2-p080_low.jpg 80]
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| | align=right | 10. Jan || align = center | Stande || align=left | Lineare Gleichungen zwischen eliptischen Coordinaten || align=right | [http://www.uni-math.gwdg.de/aufzeichnungen/klein-scans/V02-1880-1881/V2-p093_low.jpg 93]
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| | align=right | 17. Jan || align = center | Baumgart || align=left | Ueber das cubische Reciprocitätsgesetz || align=right | [http://www.uni-math.gwdg.de/aufzeichnungen/klein-scans/V02-1880-1881/V2-p101_low.jpg 101]
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| | align=right | 24. Jan || align = center | Lange || align=left | Gruppierungen der 16 Hyperosculationspuncte einer Raumkurve vierter Ordnung 1. Species || align=right | [http://www.uni-math.gwdg.de/aufzeichnungen/klein-scans/V02-1880-1881/V2-p106_low.jpg 106]
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| | align=right | 31. Jan || align = center | Brunel || align=left | Ueber die [[Analysis_Situs_(paper)|Analysis situs]] || align=right | [http://www.uni-math.gwdg.de/aufzeichnungen/klein-scans/V02-1880-1881/V2-p114_low.jpg 114]
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| | align=right | 7. Feb || align = center | Stöhr || align=left | Zur Theorie des Condensators || align=right | [http://www.uni-math.gwdg.de/aufzeichnungen/klein-scans/V02-1880-1881/V2-p121_low.jpg 121]
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| | align=right | 14. Feb || align = center | [[Walther_von_Dyck|Dyck]] || align=left | Fläche der Galois'schen Resolvente || align=right | [http://www.uni-math.gwdg.de/aufzeichnungen/klein-scans/V02-1880-1881/V2-p126_low.jpg 126]
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| | align=right | 21. Feb || align = center | [[Adolf_Hurwitz|Hurwitz]] || align=left | Eine neue Functionenreihe || align=right | [http://www.uni-math.gwdg.de/aufzeichnungen/klein-scans/V02-1880-1881/V2-p101_low.jpg 131]
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| | align=right | 28. Feb || align = center | [[Irving_Stringham|Stringham]] || align=left | Gruppen von Bewegungen bei regulären Körpern || align=right | [http://www.uni-math.gwdg.de/aufzeichnungen/klein-scans/V02-1880-1881/V2-p147_low.jpg 147]
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| | align=right | 7. Mar || align = center | Büttner || align=left | Functionentheoretische Sätze von Picard || align=right | [http://www.uni-math.gwdg.de/aufzeichnungen/klein-scans/V02-1880-1881/V2-p165_low.jpg 165]
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| |}
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| | 3 || align=right | 1881–1882 ||
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| | 4 || align=right | 1882–1883 || Hyperelliptic abelian and [[theta functions]].
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| | 5 || align=right | 1883–1884 ||
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| | 6 || align=right | 1884–1885 ||
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| | 7 || align=right | 1885–1886 || [[Hyperelliptic curve|Hyperelliptic functions]] and the [[Kummer surface]].
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| | 8 || align=right | 1886–1887 ||
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| | 9 || align=right | 1887–1889 ||
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| | 10 || align=right | 1889–1892 ||
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| | 11 || align=right | 1892–1894 || [[Number theory]]. ([[Prime number theorem|distribution of primes]]; [[Diophantus]] and his works, quadratic and biquadratic reciprocity, reduction theory of [[quadratic form]]s, class numbers.)
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| | 12 || align=right | 1894–1896 ||
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| | 13 || align=right | 1896–1898 ||
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| | 14 || align=right | 1898–1899 ||
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| | 15 || align=right | 1899–1900 ||
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| | 16 || align=right | 1900–1901 ||
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| | 17 || align=right | 1901 ||
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| | 18 || align=right | 1901–1902 ||
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| | 19 || align=right | 1902–1903 ||
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| | 20 || align=right | 1903–1904 || [[Fluid dynamics|Hydrodynamics]].
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| | 21 || align=right | 1904–1905 ||
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| | 22 || align=right | 1905 ||
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| | 23 || align=right | 1905–1906 || [[Factor of automorphy|Automorphic functions]].
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| | 24 || align=right | 1906 ||
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| | 25 || align=right | 1906–1907 ||
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| | 26 || align=right | 1907 ||
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| | 27 || align=right | 1907–1909 || Hydrodynamics seminar with special attention to the hydrodynamics of ships.<br>Ship waves; Ship propellers; Ship resistance in unbounded water.
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| | 28 || align=right | 1911 || Insurance mathematics.
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| | 29 || align=right | 1909–1912 || Mathematics and psychology.
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| |}
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| ==References==
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| {{Reflist}}
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| {{DEFAULTSORT:Felix klein protocols}}
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| [[Category:Mathematics manuscripts]]
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| {{mathpublication-stub}}
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