Richard von Mises

Richard von Mises

Born	19 April 1883 Lemberg, Austria-Hungary (now Lviv, Ukraine)
Died	14 July 1953(1953-07-14) (aged 70) Boston, Massachusetts
Fields	Solid mechanics, fluid mechanics, aerodynamics, aeronautics, statistics and probability theory
Doctoral advisor	Georg Hamel
Doctoral students	Stefan Bergman

Richard Edler von Mises (German: [fɔn ˈmiːzəs]; 19 April 1883 – 14 July 1953) was a scientist and mathematician who worked on solid mechanics, fluid mechanics, aerodynamics, aeronautics, statistics and probability theory. He held the position of Gordon-McKay Professor of Aerodynamics and Applied Mathematics at Harvard University. He described his work in his own words shortly before his death as being on

"... practical analysis, integral and differential equations, mechanics, hydrodynamics and aerodynamics, constructive geometry, probability calculus, statistics and philosophy." ^[1]

Although best known for his mathematical work, Mises also contributed to the philosophy of science as a neo-positivist, following the line of Ernst Mach. Historians of the Vienna Circle of logical empiricism recognize a "first phase" from 1907 through 1914 with Philipp Frank, Hans Hahn, and Otto Neurath. His older brother, Ludwig von Mises, held an opposite point of view with respect to positivism and epistemology.^[2]

During his time in Istanbul, Mises maintained close contact with Philipp Frank,^[3] a logical positivist and Professor of Physics in Prague until 1938. His literary interests included the Austrian novelist Robert Musil and the poet Rainer Maria Rilke, on whom he became a recognized expert.^[4]

Life

Eighteen months after his brother, Ludwig von Mises (who later became a prominent economist of the Austrian School), Richard von Mises was born in Lviv (nowadays Ukraine, then part of Austria-Hungary and named Lemberg) into a Jewish family. His parents were Arthur Edler von Mises, a doctor of technical sciences who worked as an expert for the Austrian State Railways, and Adele Landau. Richard and Ludwig also had a younger brother, who died as an infant. Richard attended the Akademisches Gymnasium in Vienna, from which he graduated with honors in Latin and mathematics in Autumn 1901. After graduating in mathematics, physics and engineering from the Vienna University of Technology, he was appointed as Georg Hamel's assistant in Brünn (now Brno). In 1905, still a student, he published an article on the geometry of curves called "Zur konstruktiven Infinitesimalgeometrie der ebenen Kurven," in the prestigious Zeitschrift für Mathematik und Physik.

The von Mises's family coat of arms

In 1908 Mises was awarded a doctorate from Vienna (his dissertation was on "the determination of flywheel masses in crank drives") and he received his habilitation from Brünn (now Brno) (on "Theory of the Waterwheels") to lecture on engineering. In 1909, at 26, he was appointed professor of applied mathematics in Straßburg, then part of the German Empire (now Strasbourg, Alsace, France) and received Prussian citizenship. His application for a teaching position at the Brno University of Technology was interrupted by the First World War.

Before the war he had already become a pilot and lectured on the design of aircraft, and in 1913 at Strasbourg he gave the first university course on powered flight. On the outbreak of war it was natural for him to join the Austro-Hungarian army as a test pilot and a flying instructor. In 1915, he supervised the construction of a 600-horsepower (450 kW) aircraft – the "Mises-Flugzeug" (Mises aircraft) for the Austrian army. It was completed in 1916 but never saw active war service.

After the war, Mises held the new chair of hydrodynamics and aerodynamics at the Dresden Technische Hochschule. In 1919 he was appointed director (and full professor) at the new Institute of Applied Mathematics created at the behest of Erhard Schmidt at the University of Berlin. In 1921 he founded the journal Zeitschrift für Angewandte Mathematik und Mechanik and became its editor.^[5]

With the rise of the National Socialist Party to power in 1933, Mises felt his position threatened, despite his First World War military service. He moved to Turkey, where he held the newly created chair of Pure and Applied Mathematics at the University of Istanbul. In 1939 he accepted a position in the United States, where in 1944 he was appointed as Gordon-McKay Professor of Aerodynamics and Applied Mathematics at Harvard University. He married Hilda Geiringer in 1943; she had been his assistant at the Institute and followed him to Turkey and then to the U.S. after losing her position in December 1933.

In 1950 Mises declined an offer of honorary membership from the Communist-dominated East German Academy of Science.

Contributions

In aerodynamics, von Mises made notable advances in boundary-layer-flow theory and airfoil design. He developed the distortion energy theory of stress, which is one of the most important concepts used by engineers in material strength calculations.

His ideas were not unanimously well received, although Alexander Ostrowski had said of him:

"Only with the appointment of Richard von Mises to the University of Berlin did the first serious German school of applied mathematics with a broad sphere of influence come into existence. Von Mises was an incredibly dynamic person and at the same time amazingly versatile like Runge. He was especially well versed in the realm of technology."

and also wrote:

"Because of his dynamic personality his occasional major blunders were somehow tolerated. One has even forgiven him his theory of probability."

Yet Andrey Kolmogorov, whose rival axiomatisation was better received, was less severe:

"The basis for the applicability of the results of the mathematical theory of probability to real 'random phenomena' must depend on some form of the frequency concept of probability, the unavoidable nature of which has been established by von Mises in a spirited manner."

In solid mechanics, von Mises made an important contribution to the theory of plasticity by formulating what has become known as the von Mises yield criterion, independently of Tytus Maksymilian Huber.

He is also often credited for the Principle of Maximum Plastic Dissipation.

The Gesellschaft für Angewandte Mathematik und Mechanik (International Association of Applied Mathematics and Mechanics) has awarded a Richard von Mises-Preis (Prize) since 1989.

In probability theory, he was the person who originally proposed the now famous "birthday problem".^[6] He also defined the impossibility of a gambling system.^[7]^[8]

Footnotes

↑ Norman L. Johnson; Samuel Kotz (26 September 2011). Leading Personalities in Statistical Sciences: From the Seventeenth Century to the Present. John Wiley & Sons. p. 385. ISBN 978-1-118-15072-6.
↑ Machlup, Fritz "Ludwig von Mises: A scholar who would not compromise". Published by the Ludwig von Mises Institute, 2004.
↑ Frank, P (11 June 1954), "The Work of Richard von Mises: 1883–1953.", Science, 119 (3102), pp. 823–824, Bibcode:1954Sci...119..823F, PMID 17746140, doi:10.1126/science.119.3102.823
↑ O'Connor, J. J.; Robertson, E. F. (10 April 1016). "Richard von Mises". Mactutor Archive - School of Mathematics and Statistics University of St Andrews, Scotland. JOC/EFR. Retrieved 25 July 2016.
↑ http://www.wiley-vch.de/publish/en/journals/alphabeticIndex/2233/ Zeitschrift für Angewandte Mathematik und Mechanik
↑ The Birthday Problem
↑ Probability, Statistics and Truth by Richard von Mises 1928/1981 Dover, ISBN 0-486-24214-5 page 25
↑ Counting for something: statistical principles and personalities by William Stanley Peters 1986 ISBN 0-387-96364-2 page 3

References

Biography in Dictionary of Scientific Biography, New York, 1970–1990.

Biography in Encyclopædia Britannica.

Books by date of publication

Richard von Mises, Philipp Frank, Heinrich Weber, Bernhard Riemann, Die Differential- und Integralgleichungen der Mechanik und Physik, 1925, 1930.
Richard von Mises, Wahrscheinlichkeitsrechnung und ihre Anwendungen in der Statistik und theoretischen Physik, 1931.
Richard von Mises, The critical external pressure of cylindrical tubes under uniform radial and axial load, (Translation of Kritischer Außendruck zylindrischer Rohre, 1917), U.S. Experimental Model Basin, Navy Yard, 1933.
Richard von Mises, P. Frank, H. Weber and B. Riemann, Die Differential- und Integralgleichungen der Mechanik und Physik, 2nd expanded. ed., 2 vols. New York, Mary S.Rosenberg: 1943.
Richard von Mises, W. Prager and G. Kuerti, Theory of Flight, New York, McGraw-Hill, 1945.
Richard Von Mises, Rilke in English,: A tentative bibliography, The Cosmos press, 1947
Richard von Mises, Notes on mathematical theory of compressible fluid flow, Harvard University, Graduate School of Engineering, 1948.
Richard von Mises, On Bergman's integration method in two-dimensional compressible fluid flow, Harvard University, Graduate School of Engineering, 1949.
Richard von Mises, On the thickness of a steady shock wave, Harvard University, Dept. of Engineering, 1951
Presented to Richard von Mises by Friends, Colleagues and Pupils, Studies in Mathematics and Mechanics, New York, 1954.
Richard von Mises, Positivism: A Study in Human Understanding, G. Braziller, 1956. ISBN 0-486-21867-8 (Paperback, Dover, 1968 ISBN 0-486-21867-8).
Richard von Mises, Mathematical Theory of Compressible Fluid Flow. New York, Academic Press, 1958.
Richard von Mises, Theory of Flight, New York, Dover, 1959. ISBN 0-486-60541-8
Richard von Mises, Selected Papers of Richard von Mises, 2 volumes, AMS, Rhode Island, 1963, 1964.
Richard von Mises, Mathematical Theory of Probability and Statistics, New York, Academic Press, 1964.
Richard von Mises, Probability and Statistics, General, American Mathematical Society, 1964.
Heinrich Sequenz ed. 150 Jahre Technische Hochschule in Wien. 1815–1965, Festschrift in 3 Volumes, Springer Verlag, Wien, New York, 1965, .
Richard von Mises and K. O. Friedrichs, Fluid Dynamics, New York: Springer-Verlag, 1971. ISBN 0-387-90028-4
M. Pinl & L. Furtmüller, Mathematicians under Hitler, In Year Book XVIII of the Leo Baeck Institute, London, 1973.
Richard von Mises, Theodore Von Karman, Advances in Applied Mechanics, Academic Press, 1975. ISBN 0-12-002015-7
W. Roeder & H. A. Strauss, International Biographical Dictionary of Central European Émigrés 1933–1945, Saur, München, New York, London, Paris, 1980–1983.
Richard von Mises, Probability, Statistics and Truth, 2nd rev. English ed., New York, Dover, 1981. ISBN 0-486-24214-5
Richard von Mises, Kleines Lehrbuch des Positivismus. Einführung in die empiristische Wissenschaftsauffassung, Suhrkamp, 1990. ISBN 3-518-28471-1
Richard von Mises, Wolfgang Gröbner, Wolfgang Pauli, Österreichische Mathematik und Physik, Die Zentralbibliothek, 1993. ISBN 3-900490-03-1
Robert Winter, Das Akademische Gymnasium in Wien. Vergangenheit und Gegenwart, Wien, Köln, Weimar 1996.
R. Siegmund-Schultze, Mathematiker auf der Flucht vor Hitler. Quellen und Studien zur Emigration einer Wissenschaft, Braunschweig und Wiesbaden, Vieweg, 1998.

Articles by alphabetical order of authors

A. Basch, "Richard von Mises zum 70. Geburtstag", Osterreich. Ing.-Arch. 7, 1953, pp. 73–76.
B. Bernhardt, "Skizzen zu Leben und Werk von Richard Mises", in Österreichische Mathematik und Physik, Wien, Zentralbibliothek für Physik, 1993, pp. 51–62.
H. Bernhardt, "Zum Leben und Wirken des Mathematikers Richard von Mises", NTM Schr. Geschichte Natur. Tech. Medizin 16 (2), 1979, pp. 40–49.
G. Birkhoff, "Richard von Mises' years at Harvard", Zeitschrift für Angewandte Mathematik und Mechanik 63 (7), 1983, pp. 283–284.
L. Collatz, "Richard von Mises als numerischer Mathematiker", Zeitschrift für Angewandte Mathematik und Mechanik (7), 1983, pp. 278–280.
H. Cramér, "Richard von Mises' work in probability and statistics", Ann. Math. Statistics 24, 1953, pp. 657–662.
D. v. Dalen, "The War of the Frogs and the Mice or the Crisis of the 'Mathematische Annalen'", The Mathematical Intelligencer 12 (1990), No.4, pp. 17–31.
H. Föllmer and K. Küchler, "Richard von Mises", in Mathematics in Berlin, Berlin, 1998, pp. 55–60.
J. Förste, "Zum 100. Geburtstag von Richard von Mises", Zeitschrift für Angewandte Mathematik und Mechanik 63 (7), 1983, p. 277.
P. Frank, "The work of Richard von Mises: 1883–1953", Science 119, 1954, pp. 823–824.
A. Haussner, "Geschichte der Deutschen Technischen Hochschule in Brünn 1849–1924." In Festschrift der Deutschen Technischen Hochschule in Brünn zur Feier ihres fünfundsiebzigjährigen Bestandes im Mai 1924, Verlag der Deutschen Technischen Hochschule, Brünn, 1924, pp. 5–92.
G. S. S. Ludford, "Mechanics in the applied- mathematical world of von Mises", Zeitschrift für Angewandte Mathematik und Mechanik 63 (7), 1983, pp. 281–282.
R. v. Mises, "Zur konstruktiven Infinitesimalgeometrie der ebenen Kurven," Zeitschrift für Mathematik und Physik, 52, 1905, pp. 44–85.
R. v. Mises, "Zur Theorie der Regulatoren", Elektrotechnik und Maschinenbau 37, 1908, pp. 783–789.
R. Sauer, "Nachruf: Richard von Mises", Bayer. Akad. Wiss. Jbuch. 1953, pp. 194–197.
R. Sauer, "Richard von Mises 19. 4. 1883 – 14. 7. 1953" (in German), Bayer. Akad. Wiss. Jbuch. 1953, pp. 194–197
R. Siegmund-Schultze, Hilda Geiringer von Mises, Charlier Series, "Ideology, and the human side of the emancipation of applied mathematics at the University of Berlin during the 1920s", Historia Mathematica 20, 1993, 364–381.
P. Sisma, "Georg Hamel and Richard von Mises in Brno", Historia Mathematica, 29, 2002, pp. 176–192.
A. Szafarz, "Richard von Mises: l'échec d'une axiomatique", Dialectica 38 (4), 1984, pp. 311–317.
M. van Lambalgen, "Randomness and foundations of probability: von Mises' axiomatisation of random sequences", in Statistics, probability and game theory, Hayward, CA, 1996, pp. 347–367.
J. Weinhold, "Zur Geschichte der Deutschen Technischen Hochschule in Brünn, Rückblicke und Vergleiche", Südetendeutsche Akademie der Wissenschaften und Künste, Naturwissenschaftliche Klasse, 1991,

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