Felix Klein Protocols
"The Felix Klein Protocols" is a collection of handwritten records of the 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29 volumes, and are regarded as one of the richest records of mathematical activity in modern times.[1] The previously unpublished Klein Protocols were made available digitally in 2006.[2]
A searchable index of the protocols can be found at Felix Klein Protokolle.
Years covered
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.
| Klein Protokolle | ||
| Volume | Years | Some topics covered |
| 1 | 1872–1880 | Seminars on various topics in geometry and algebra. (Geometric problems of the 3rd and 4th degree; The physical theory of the northern lights; Rational transformations; Elements of arithmetics; Analytic geometry of space; The imaginary in geometry; On scrolls of degree 4; The elements of function theory; Investigations on algebraic functions; Newtonian and logarithmic potential; The distribution of heat in a sphere; The tautochrone problem.) |
| 2 | 1880–1881 | |
| 3 | 1881–1882 | |
| 4 | 1882–1883 | Hyperelliptic abelian and theta functions. |
| 5 | 1883–1884 | |
| 6 | 1884–1885 | |
| 7 | 1885–1886 | Hyperelliptic functions and the Kummer surface. |
| 8 | 1886–1887 | |
| 9 | 1887–1889 | |
| 10 | 1889–1892 | |
| 11 | 1892–1894 | Number theory. (distribution of primes; Diophantus and his works, quadratic and biquadratic reciprocity, reduction theory of quadratic forms, class numbers.) |
| 12 | 1894–1896 | |
| 13 | 1896–1898 | |
| 14 | 1898–1899 | |
| 15 | 1899–1900 | |
| 16 | 1900–1901 | |
| 17 | 1901 | |
| 18 | 1901–1902 | |
| 19 | 1902–1903 | |
| 20 | 1903–1904 | Hydrodynamics. |
| 21 | 1904–1905 | |
| 22 | 1905 | |
| 23 | 1905–1906 | Automorphic functions. |
| 24 | 1906 | |
| 25 | 1906–1907 | |
| 26 | 1907 | |
| 27 | 1907–1909 | Hydrodynamics seminar with special attention to the hydrodynamics of ships. Ship waves; Ship propellers; Ship resistance in unbounded water. |
| 28 | 1911 | Insurance mathematics. |
| 29 | 1909–1912 | Mathematics and psychology. |
References
- Chislenko, Eugene; Tschinkel, Yuri (September 2007). "The Felix Klein Protocols". Notices of the American Mathematical Society. 54 (8): 960–970.
- "Felix Klein, Klein Protokolle" (in German).
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