Electroacoustic phenomena

"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. The previously unpublished Klein Protocols were made available digitally in 2006.

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	München, Sommersemester 1880 8. Mai Dyck Normalform für Irrationalitäten durch regulär verzweigte Riemannsche Flächen 1 15. Mai Dyck Problem der Analysis situs 4 29. Mai Bianchi Tetraederirrationalität 6 5. Juni Bianchi Fortsetzung 8 13. Juni Bianchi Ikosaederirrationalität 12 4. Juli Bianchi Fortsetzung 15 11. Juli Bianchi Fortsetzung 21 Leipzig, Wintersemester 1880/81 1. Nov Lange Gestaltliches über Baumkurven 4. Ordnung 31 8. Nov Dyck Über eine reguläre Riemannsche Fläche vom Geschlechte 3 und der zugehörigen Normalkurve 4ter Ordnung 36 15. Nov - Freie Besprechung 42 22. Nov Baumgart Equipollenzen (nach Bellavitis) 43 Stöhr Kartenprojection 44 29. Nov Stringham Vierdimensionale reguläre Körper 46 6. Dez Hurwitz Bildung der Modulfunctionen 67 13. Dez Büttner Convergenz von $\prod _{m,n}(1-\frac{u}{m{w}_1+n{w}_2})$ 71 20. Dez Brunel Bestimmung des Geschlechts 76 3. Jan Veronese Einige merkwürdige Configurationen 80 10. Jan Stande Lineare Gleichungen zwischen eliptischen Coordinaten 93 17. Jan Baumgart Ueber das cubische Reciprocitätsgesetz 101 24. Jan Lange Gruppierungen der 16 Hyperosculationspuncte einer Raumkurve vierter Ordnung 1. Species 106 31. Jan Brunel Ueber die Analysis situs 114 7. Feb Stöhr Zur Theorie des Condensators 121 14. Feb Dyck Fläche der Galois'schen Resolvente 126 21. Feb Hurwitz Eine neue Functionenreihe 131 28. Feb Stringham Gruppen von Bewegungen bei regulären Körpern 147 7. Mar Büttner Functionentheoretische Sätze von Picard 165
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

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