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Richard von Mises

Richard von Mises is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Richard von Mises rather than just read about it. In short: Richard Martin von Mises (German: [fɔn ˈmiːzəs]; 19 April 1883 – 14 July 1953) was an Austrian 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.

Richard von Mises — main illustration
Richard von Mises — illustration

Key takeaways

  • Richard von Mises belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Richard von Mises to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Richard von Mises from memory before moving on to harder problems.

Reference excerpt

Richard Martin von Mises (German: [fɔn ˈmiːzəs]; 19 April 1883 – 14 July 1953) was an Austrian 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, "practical analysis, integral and differential equations, mechanics, hydrodynamics and aerodynamics, constructive geometry, probability calculus, statistics and philosophy". Although best known for his mathematical work, von Mises also contributed to the philosophy of science as a neo-positivist and empiricist, 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. His brother developed praxeology, an a priori view. During his time in Istanbul, Mises maintained close contact with Philipp Frank, 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.

Life Richard Martin Edler von Mises was born in Lemberg, Austria-Hungary (today Lviv, Ukraine) into a Jewish family, eighteen months after his brother Ludwig von Mises, who became a prominent economist of the Austrian School, a heterodox school of economics. His parents were Arthur Edler von Mises, a doctor of technical sciences who worked for the Austrian State Railways, and Adele Landau. Richard and Ludwig had a younger brother, Karl von Mises, who died as an infant from Scarlet Fever. 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 (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.

In 1908, von 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 (Brno) (on "Theory of the Waterwheels") to lecture on engineering. In 1909, at 26, he was appointed professor of applied mathematics in Strasbourg (then part of the German Empire) 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 aircraft design, and in 1913 at Strasbourg he gave the first university course on powered flight. At 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 service. After the war, von 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. 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 assumed the new 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. In 1943 he married Hilda Geiringer, a mathematician who had been his assistant at the Institute and moved with him to Turkey and then to the U.S. In 1950, von Mises declined honorary membership from the Communist-dominated East German Academy of Science.

Contributions In aerodynamics, von Mises made advances in boundary-layer flow theory and airfoil design. He developed the distortion energy theory of stress, an important factor in material strength calculations. His ideas were not universally 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 probability theory, he proposed the famous "birthday problem". He also defined the impossibility of a gambling system. In solid mechanics, von Mises contributed to the theory of plasticity by formulating the von Mises yield criterion, independently of Tytus Maksymilian Huber. He is often credited for the Principle of Maximum Plastic Dissipation. The Gesellschaft für Angewandte Mathematik und Mechanik (Society of Applied Mathematics and Mechanics) awards a Richard von Mises Prize since 1989.

Bibliography

Books

Articles 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.

See also Birthday problem Impossibility of a gambling system Bernstein–von Mises theorem Cramér–von Mises criterion von Mises distribution

Notes

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Illustrations

Richard von Mises illustration
Richard von Mises: The von Mises's family crest
The von Mises's family crest

Worked examples

Example 1 — a first encounter with Richard von Mises

Start with the simplest possible case. Write down what Richard von Mises claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Richard von Mises before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Richard von Mises ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Richard von Mises

In research
Richard von Mises appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Richard von Mises in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Richard von Mises is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1883 births, 1953 deaths, 20th-century Austrian mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Richard von Mises outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Richard von Mises in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Richard von Mises means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Richard von Mises out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Richard von Mises in simple terms?

Richard Martin von Mises (German: [fɔn ˈmiːzəs]; 19 April 1883 – 14 July 1953) was an Austrian 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…

Why does Richard von Mises matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Richard von Mises?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Richard von Mises.

Tags

  • 1883 births
  • 1953 deaths
  • 20th-century Austrian mathematicians
  • 20th-century statisticians
  • Academic staff of Istanbul University
  • Academic staff of TU Dresden
  • Aerodynamicists
  • Austrian expatriates in Turkey
  • Austrian physicists
  • Edlers of Austria
  • Emigrants from Austria after the Anschluss to the United States
  • Expatriate academics in Turkey

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