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Kurt Reidemeister

Kurt Reidemeister 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 Kurt Reidemeister rather than just read about it. In short: Kurt Werner Friedrich Reidemeister (13 October 1893 – 8 July 1971) was a mathematician born in Braunschweig (Brunswick), Germany. Life He was a brother of Marie Neurath.

Kurt Reidemeister — main illustration
Kurt Reidemeister — illustration

Key takeaways

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

Reference excerpt

Kurt Werner Friedrich Reidemeister (13 October 1893 – 8 July 1971) was a mathematician born in Braunschweig (Brunswick), Germany.

Life

He was a brother of Marie Neurath. Beginning in 1912, he studied in Freiburg, Munich, Marburg, and Göttingen. In 1920, he got the Staatsexamen (master's degree) in mathematics, philosophy, physics, chemistry, and geology. He received his doctorate in 1921 with a thesis in algebraic number theory at the University of Hamburg under the supervision of Erich Hecke. He became interested in differential geometry; he edited Wilhelm Blaschke's second volume on the topic, and both made an acclaimed contribution to the Jena DMV conference in September 1921. In October 1922 or 1923 he was appointed assistant professor at the University of Vienna. While there he became familiar with the work of Wilhelm Wirtinger on knot theory, and became closely connected to Hans Hahn and the Vienna Circle. Its 1929 manifesto lists one of Reidemeister's publications in a bibliography of closely related authors. In 1925 he became a full professor at the University of Königsberg; he stayed until 1933, when he was regarded politically unsound by the Nazis and dismissed from his position. Whilst there he organised the Second Conference on the Epistemology of the Exact Sciences in conjunction with journal Erkenntnis. Blaschke managed to get a promise about Reidemeister's reappointment, and in autumn 1934 he got the chair of Kurt Hensel at the University of Marburg. He stayed there, except for a visit to the Princeton Institute for Advanced Study in 1948–1950, until he got appointed to Göttingen University in 1955, where he stayed until his emeritation.

Works Reidemeister's interests were mainly in combinatorial group theory, combinatorial topology, geometric group theory, and the foundations of geometry. His works include Knoten und Gruppen (1926), Einführung in die kombinatorische Topologie (1932), and Knotentheorie (1932). He co-edited the journal Mathematische Annalen from 1947 until 1963. He was also a philosopher. His book "Das exakte Denken der Griechen" (1949) is not as well known as his mathematical work. In it he remarks that mathematical thought is "just the beginning of thought".

See also Reidemeister moves Reidemeister–Singer theorem Reidemeister torsion

References

External links

Kurt Reidemeister at the Mathematics Genealogy Project

Illustrations

Kurt Reidemeister illustration
Kurt Reidemeister: Reidemeister in the late 1950s
Reidemeister in the late 1950s

Worked examples

Example 1 — a first encounter with Kurt Reidemeister

Start with the simplest possible case. Write down what Kurt Reidemeister 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 Kurt Reidemeister 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 Kurt Reidemeister 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 Kurt Reidemeister

In research
Kurt Reidemeister 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 Kurt Reidemeister 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
Kurt Reidemeister is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1893 births, 1971 deaths, 20th-century German mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Kurt Reidemeister 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 Kurt Reidemeister in 20 minutes

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

Frequently asked questions

What is Kurt Reidemeister in simple terms?

Kurt Werner Friedrich Reidemeister (13 October 1893 – 8 July 1971) was a mathematician born in Braunschweig (Brunswick), Germany. Life He was a brother of Marie Neurath.

Why does Kurt Reidemeister 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 Kurt Reidemeister?

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 Kurt Reidemeister.

Tags

  • 1893 births
  • 1971 deaths
  • 20th-century German mathematicians
  • Academic staff of the University of Königsberg
  • Academic staff of the University of Vienna
  • German topologists
  • Presidents of the German Mathematical Society
  • Scientists from Braunschweig
  • University of Hamburg alumni
  • Vienna Circle

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