mathematics

Georg Nöbeling

Georg Nöbeling 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 Georg Nöbeling rather than just read about it. In short: Georg August Nöbeling (12 November 1907 – 16 February 2008) was a German mathematician. Education and career Born and raised in Lüdenscheid, Nöbeling studied mathematics and physics at University of Göttingen between 1927 and 1929 and University of Vienna, where he was a student of Karl Menger and received his PhD in 1931 on a generalization of the embedding theorem, which for one special case can be visualized by t…

Key takeaways

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

Reference excerpt

Georg August Nöbeling (12 November 1907 – 16 February 2008) was a German mathematician.

Education and career Born and raised in Lüdenscheid, Nöbeling studied mathematics and physics at University of Göttingen between 1927 and 1929 and University of Vienna, where he was a student of Karl Menger and received his PhD in 1931 on a generalization of the embedding theorem, which for one special case can be visualized by the Menger sponge. Nöbeling worked and researched in Menger's Mathematical Colloquium with Kurt Gödel, Franz Alt, Abraham Wald, Olga Taussky-Todd and others. In 1933, he moved to the University of Erlangen, where he habilitated in 1935 under Otto Haupt and obtained a professorship at the same place in 1940. His work focused on analysis, topology, and geometry. 1968/1969 he solved Specker's theorem on abelian groups. As Rector (1962–1963) of the University of Erlangen he oversaw the merge with the business college in Nuremberg. He also served twice as the chairman of the German Mathematical Society and is a member of the Bavarian Academy of Sciences and Humanities. He celebrated his 100th birthday in 2007.

Publications (selected) Georg Nöbeling: "Über eine n-dimensionale Universalmenge im R 2 n + 1 {\displaystyle \mathbb {R} ^{2n+1}} (on a n-dimensional universal set for metric spaces in R 2 n + 1 {\displaystyle \mathbb {R} ^{2n+1}} ." Mathematische Annalen 104 (1931), pp. 71–80. Georg Nöbeling: "Verallgemeinerung eines Satzes von E. Specker (Generalization of a Theorem by E. Specker)". Inventiones mathematicae 6 (1968), pp. 41–55.

See also Inductive dimension Universal space

Notes

External links List of deceased fellows of the Bavarian Academy of Sciences and Humanities Archived 2014-12-20 at the Wayback Machine (in German)

Illustrations

Worked examples

Example 1 — a first encounter with Georg Nöbeling

Start with the simplest possible case. Write down what Georg Nöbeling 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 Georg Nöbeling 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 Georg Nöbeling 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 Georg Nöbeling

In research: Georg Nöbeling 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 Georg Nöbeling 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: Georg Nöbeling is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1907 births, 2008 deaths, 20th-century German mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Georg Nöbeling 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 Georg Nöbeling in 20 minutes

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

Frequently asked questions

What is Georg Nöbeling in simple terms?

Georg August Nöbeling (12 November 1907 – 16 February 2008) was a German mathematician. Education and career Born and raised in Lüdenscheid, Nöbeling studied mathematics and physics at University of Göttingen between 1927 and 1929 and University of Vienna, where he was a student of Karl Menger and…

Why does Georg Nöbeling 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 Georg Nöbeling?

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 Georg Nöbeling.