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Roland Weitzenböck

Roland Weitzenböck is a astronomy 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 Roland Weitzenböck rather than just read about it. In short: Roland Weitzenböck (26 May 1885 – 24 July 1955) was an Austrian mathematician working on differential geometry who introduced the Weitzenböck connection. He was appointed professor of mathematics at the University of Amsterdam in 1923 at the initiative of Brouwer, after Hermann Weyl had turned down Brouwer's offer.

Roland Weitzenböck — main illustration
Roland Weitzenböck — illustration

Key takeaways

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

Reference excerpt

Roland Weitzenböck (26 May 1885 – 24 July 1955) was an Austrian mathematician working on differential geometry who introduced the Weitzenböck connection. He was appointed professor of mathematics at the University of Amsterdam in 1923 at the initiative of Brouwer, after Hermann Weyl had turned down Brouwer's offer.

Biography Roland Weitzenböck was born in Kremsmünster, Austria-Hungary. He studied from 1902 to 1904 at the Imperial and Royal Technical Military Academy (now HTL Vienna) and was a captain in the Austrian army. He then studied at the University of Vienna, where he graduated in 1910 with the dissertation Zum System von 3 Strahlenkomplexen im 4-dimensionalen Raum (The system of 3-rays complexes in 4-dimensional space). After further studies at Bonn and Göttingen, he became professor at the university of Graz in 1912. After Army service in World War I, he became Professor of Mathematics at the Karl-Ferdinand University in Prague in 1918. In 1923 Weitzenböck took a position of professor of mathematics at the University of Amsterdam, where he stayed until 1945. He settled in Blaricum, where he became a fully accepted member of the community. He was a man of few words, without observable political views. Appearances are often, however, deceptive, and in this case the solid imperturbable exterior hid a considerable amount of frustration resulting from the disastrous course of the First World War. As so many German and Austrian ex-service men, Weitzenböck became a hard-core revanchist, and an implacable enemy of France. But whereas Brouwer actively campaigned for the rehabilitation of German scientists, Weitzenböck refrained from political activity. However, after the ‘Anschluss’ of Austria in 1938, he started to vent his approval of Hitler's policies in private conversations. Weitzenböck was elected member of the Royal Netherlands Academy of Arts and Sciences (KNAW) in May 1924, but suspended in May 1945 because of his attitude during the war. Weitzenböck had been a member of the National Socialist Movement in the Netherlands. In 1923 Weitzenböck published a modern monograph on the theory of invariants on manifolds that included tensor calculus. In the Preface of this monograph one can read an offensive acrostic. One finds that the first letter of the first word in the first 21 sentences spell out:

NIEDER MIT DEN FRANZOSEN (down with the French). He also published papers on torsion. In fact, in his paper "Differential Invariants in Einstein’s Theory of Tele-parallelism" Weitzenböck had given a supposedly complete bibliography of papers on torsion without mentioning Élie Cartan. Weitzenböck died in Zelhem, Netherlands in 1955. His doctoral students include G. F. C. Griss, Daniel Rutherford and Max Euwe.

Publications Komplex-Symbolik. Eine Einführung in die analytische Geometrie mehrdimensionaler Räume, Leipzig: Göschen, 1908 Invariantentheorie, Groningen: Noordhoff, 1923 Der vierdimensionale Raum, Die Wissenschaft, Sammlung von Einzeldarstellungen aus den Gebieten der Naturwissenschaft und der Technik... Bd. 80, Braunschweig: F. Vieweg & Sohn, 1929 Neuere Arbeiten zur algebraischen Invariantentheorie. Differentialinvarianten. Enzyklopädie der mathematischen Wissenschaften, III, Bd.3, Teubner 1921 Differentialinvarianten in der Einsteinschen Theorie des Fernparallelismus, Sitzungsberichte Preußische Akademie der Wissenschaften, Phys.-Math.Klasse, 1928, S.466

See also []

Notes

External links Roland Weitzenböck at the Mathematics Genealogy Project

Illustrations

Roland Weitzenböck illustration

Worked examples

Example 1 — a first encounter with Roland Weitzenböck

Start with the simplest possible case. Write down what Roland Weitzenböck claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, 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 Roland Weitzenböck 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 Roland Weitzenböck 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 Roland Weitzenböck

In research
Roland Weitzenböck appears in astronomy 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 Roland Weitzenböck 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
Roland Weitzenböck is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1885 births, 1955 deaths, 20th-century Austrian mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Roland Weitzenböck 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 Roland Weitzenböck in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Roland Weitzenböck 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 Roland Weitzenböck out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Roland Weitzenböck in simple terms?

Roland Weitzenböck (26 May 1885 – 24 July 1955) was an Austrian mathematician working on differential geometry who introduced the Weitzenböck connection. He was appointed professor of mathematics at the University of Amsterdam in 1923 at the initiative of Brouwer, after Hermann Weyl had turned down…

Why does Roland Weitzenböck matter?

Because it connects several astronomy 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 Roland Weitzenböck?

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 Roland Weitzenböck.

Tags

  • 1885 births
  • 1955 deaths
  • 20th-century Austrian mathematicians
  • Academic staff of the University of Amsterdam
  • Academic staff of the University of Graz
  • Differential geometers
  • Members of the Royal Netherlands Academy of Arts and Sciences
  • People from Kirchdorf District
  • University of Vienna alumni

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