mathematics

Meier Eidelheit

Meier Eidelheit 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 Meier Eidelheit rather than just read about it. In short: Meier "Maks" Eidelheit (6 July 1910 – March 1943) was a Polish mathematician belonging to the Lwów School of Mathematics who worked in Lwów and was murdered in the Holocaust. Biography Meier Eidelheit left the Lwów Gymnasium in 1929 and then studied mathematics at the scientific faculty in Lwów, completing his study in 1933 with a thesis on the theory of summation.

Key takeaways

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

Reference excerpt

Meier "Maks" Eidelheit (6 July 1910 – March 1943) was a Polish mathematician belonging to the Lwów School of Mathematics who worked in Lwów and was murdered in the Holocaust.

Biography Meier Eidelheit left the Lwów Gymnasium in 1929 and then studied mathematics at the scientific faculty in Lwów, completing his study in 1933 with a thesis on the theory of summation. In 1938, with Stefan Banach as supervisor, he gained a doctorate from the Jan-Kazimierz-University of Lwów with a Dissertation über die Auflösbarkeit eines linearen Gleichungssystems mit unendlich vielen Unbekannten. From 1933 to 1939 he gave private lectures; from 31 January 1939 onwards he was an Assistant Professor of Analysis, from 21 March 1941 he was candidate for a professorship. He worked mainly on Functional analysis. On the basis of his 1936 paper on convex sets in linear normed spaces, geometric versions of the hyperplane separation theorem are also known (in German) as Trennungssatz von Eidelheit (Eidelheit separation theorem). A theorem on the solubility of certain infinite systems of equations in Fréchet spaces is also named after him. Eidelheit published six papers in Studia Mathematica from 1936 to 1940; a seventh was printed posthumously. Eidelheit was an active contributor to the Scottish Book, posing problems 172, 173, 174, 176 and 188 and answering problem 26 (Mazur), 64 (Mazur), 162 (Steinhaus), and 176 (Eidelheit). Meier Eidelheit was murdered in the Holocaust in March 1943. His posthumously published article Quelques remarques sur les fonctionelles linéaires in volume 10 of the Studia Mathematica was prefaced with the following lines: "L’auteur de ce travail a été assassiné par les Allemands en mars de 1943. Le manuscrit qu’il fut parvenir à la Rédaction en 1941 a été retrouvé récemment entre les papiers laissés par S. Banach." (in English: The author of this work was murdered in March 1943 by the Germans. The manuscript, which reached the editors in 1941, was recently found among the writings left by S. Banach.)

See also Hyperplane separation theorem List of Poles § Mathematics Scottish Book

References Lech Maligranda (26 May 2011). Meier (Maks) Eidelheit (1910-1943) - on the centenary of his birth. XXV Scientific Conference of the Polish Mathematical Society (in Polish). in History of Mathematics, "Polish mathematics in the first half of the twentieth century", 23–27 May 2011, Będlewo, Poland (paper in preparation as per). J. G. Prytua. "Meier Eidelheit" (in Ukrainian).

Notes

Worked examples

Example 1 — a first encounter with Meier Eidelheit

Start with the simplest possible case. Write down what Meier Eidelheit 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 Meier Eidelheit 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 Meier Eidelheit 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 Meier Eidelheit

In research: Meier Eidelheit 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 Meier Eidelheit 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: Meier Eidelheit is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1910 births, 1943 deaths, 20th-century Polish mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Meier Eidelheit 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 Meier Eidelheit in 20 minutes

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

Frequently asked questions

What is Meier Eidelheit in simple terms?

Meier "Maks" Eidelheit (6 July 1910 – March 1943) was a Polish mathematician belonging to the Lwów School of Mathematics who worked in Lwów and was murdered in the Holocaust. Biography Meier Eidelheit left the Lwów Gymnasium in 1929 and then studied mathematics at the scientific faculty in Lwów, co…

Why does Meier Eidelheit 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 Meier Eidelheit?

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 Meier Eidelheit.