Andreas Speiser

Andreas Speiser ( born June 10, 1885 † October 12, 1970 ) was a Swiss mathematician and philosopher.

Life and work

Speiser came from an influential family from Basel. He was the son of Representatives Paul Speiser and grandson of the Basel government Council Charles Sarasin. His younger brother Ernst Speiser was the National Council and Council of States. From 1904 studied in Göttingen Speiser et al David Hilbert, Felix Klein, Hermann Minkowski. There he received his doctorate in 1909 ( The theory of binary quadratic forms with coefficients and indeterminates in any number field ), officially Hilbert; since that time turned the Hilbert integral equations of the theory of numbers, Speiser had but mostly with Minkowski contact. From 1917 he was professor at the University of Zurich. 1924/25, he was president of the Swiss Mathematical Society. In 1944 he became a professor in Basel.

Speiser worked on number theory, group theory and the theory of Riemannian surfaces. He organized the translation of basic book by Leonard Dickson algebras and their number theory (1927 ) by his assistant, Johann Jakob Burckhardt, which greatly influenced the study of the theory of algebras by the schools of Emmy Noether and Helmut Hasse, and contributed an appendix on ideal theory with. His theory of groups of finite order is a classic, richly illustrated introduction to the work of group theory. There are (in addition to applications in Galois theory, elementary number theory and Platonic solids ) also extensively studied ornaments that Speiser eg studied on a trip to Egypt in 1928. It inspired many mathematicians for dealing with this subject ( among others witnessed by Heinrich Heesch, Johann Jacob Burckhardt ).

In number theory are named after him and David Hilbert, the set of Hilbert - Speiser and the Hilbert - Speiser number fields, in the theory of functions of the Speiser graph of a Riemann surface and the Speiser class of meromorphic functions associated with his name.

Speiser also dealt with the history of mathematics and served as Director General of the Euler Leonhard Euler Commission editor of Opera Omnia as well as the works of Johann Heinrich Lambert. As a philosopher, he devoted himself to Plato and wrote a commentary on the Parmenides dialogue. He also dealt with Plotinus and Hegel.

He was always located at the connection between mathematics and art. So he said in a lecture (11 September 1949 see writings, p.14):

" In the Greek language Techne ie, simultaneously art and technology and so does like to close with the appeal, the three things: to separate formula, art, technology, never, ever, but to remain mindful that only lie in the mutual interaction of these three salvation can. "

It should not be confused with the Swiss engineer and computer scientist Paul Ambrose feeder.

Writings

• The theory of groups of finite order - with applications to algebraic numbers and equations as well as the crystallography. Springer 1923, Birkhäuser 1956.
• Classical pieces of mathematics. Orell Füssli 1925 ( with impression of sources, including Dante, Rousseau ).
• Leonhard Euler and the German philosophy. Orell Füssli, 1934.
• Leonhard Euler. In: Large Swiss. Atlantis Verlag, Zurich 1939, 1940, p.1 - sixth
• The mathematical way of thinking. Rascher 1932, Birkhäuser 1945, 1952.
• Leonhard Euler. Paper presented at the meeting of the SIA in Basel on September 11, 1949. Bauzeitung Swiss, Jg.67, No.48. November 26, 1949, Zurich.
• Elements of philosophy and mathematics. Birkhäuser 1952.
• The spiritual work. Birkhäuser 1955 ( lectures ).
• About Riemann surfaces. Comm.Math.Helvetici ( CMH), Vol.2, 1930, S.284.
• On the theory of substitution groups. Mathematische Annalen, Vol 75, 1914, S.443.
• Number theoretic theorems from group theory. Math.Zeitschrift vol.5, 1919, p.1.
• Nature Philosophical Investigations of Euler and Riemann. Crelle Journal Bd.157, 1927, p.105.
• Number theory in rational algebras. CMH, Bd.8, 1936, S.391.
• Riemann surfaces of hyperbolic type. CMH Bd.10, 1938, p.232.
• Geometric to the Riemann zeta function. Mathematische Annalen Bd.110, 1934, S.514.
• Classification of Leonhard Euler's complete works. CMH Bd.20, 1947.