mathematics

Stanisław Szarek

Stanisław Szarek 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 Stanisław Szarek rather than just read about it. In short: Stanisław J. Szarek (born November 13, 1953) is a Polish professor of mathematics at both Case Western Reserve University in the USA (since 1983) and Pierre and Marie Curie University in France (since 1996).

Key takeaways

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

Reference excerpt

Stanisław J. Szarek (born November 13, 1953) is a Polish professor of mathematics at both Case Western Reserve University in the USA (since 1983) and Pierre and Marie Curie University in France (since 1996). His research concerns convex geometry and functional analysis. Szarek was born in Lądek-Zdrój, Poland. He earned a master's degree from the University of Warsaw in 1976, and a Ph.D. from the Polish Academy of Sciences in 1979 under the supervision of Aleksander Pełczyński. He continued at the Polish Academy as a research fellow for four years before taking a faculty position at Case, where he is now the Kerr Professor of Mathematics. Szarek won a gold medal in the 1971 International Mathematical Olympiad. He was an invited speaker at the 2006 International Congress of Mathematicians. In 2007 he won the Langevin Prize of the French Academy of Sciences. In 2012 he became one of the inaugural fellows of the American Mathematical Society and in 2017 he was awarded the Sierpiński medal.

References

Illustrations

Stanisław Szarek: Stanisław J. Szarek (2014) — Stanisław J. Szarek (2014)

Worked examples

Example 1 — a first encounter with Stanisław Szarek

Start with the simplest possible case. Write down what Stanisław Szarek 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 Stanisław Szarek 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 Stanisław Szarek 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 Stanisław Szarek

In research: Stanisław Szarek 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 Stanisław Szarek 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: Stanisław Szarek is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1953 births, 20th-century American mathematicians, 21st-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Stanisław Szarek 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 Stanisław Szarek in 20 minutes

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

Frequently asked questions

What is Stanisław Szarek in simple terms?

Why does Stanisław Szarek 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 Stanisław Szarek?

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 Stanisław Szarek.