mathematics

Péter Komjáth

Péter Komjáth 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 Péter Komjáth rather than just read about it. In short: Péter Komjáth (born 8 April 1953) is a Hungarian mathematician, working in set theory, especially combinatorial set theory. Komjáth is a professor at the Faculty of Sciences of the Eötvös Loránd University.

Key takeaways

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

Reference excerpt

Péter Komjáth (born 8 April 1953) is a Hungarian mathematician, working in set theory, especially combinatorial set theory. Komjáth is a professor at the Faculty of Sciences of the Eötvös Loránd University. He is currently a visiting faculty member at Emory University in the department of Mathematics and Computer Science. Komjáth won a gold medal at the International Mathematical Olympiad in 1971. His Ph.D. advisor at Eötvös was András Hajnal, and he has two joint papers with Paul Erdős. He received the Paul Erdős Prize in 1990. He is a member of the Hungarian Academy of Sciences.

Selected publications Komjáth, Péter and Vilmos Totik: Problems and Theorems in Classical Set Theory, Springer-Verlag, Berlin, 2006. ISBN 0-387-30293-X Komjáth, Péter (1988), "A simplified construction of nonlinear Davenport–Schinzel sequences", Journal of Combinatorial Theory, Series A, 49 (2): 262–267, doi:10.1016/0097-3165(88)90055-6, MR 0964387. Komjáth, Péter (1988), "Consistency results on infinite graphs", Israel Journal of Mathematics, 61 (3): 285–294, doi:10.1007/BF02772573, MR 0941243, S2CID 123105669. Komjáth, Péter (2011), "The chromatic number of infinite graphs—A survey" (PDF), Discrete Mathematics, 311 (15): 1448–1450, doi:10.1016/j.disc.2010.11.004.

References

External links Péter Komjáth at the Mathematics Genealogy Project Hungarian Academy of Sciences Webpage Eötvös University Webpage Rutgers University Webpage

Worked examples

Example 1 — a first encounter with Péter Komjáth

Start with the simplest possible case. Write down what Péter Komjáth 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 Péter Komjáth 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 Péter Komjáth 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 Péter Komjáth

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

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

Frequently asked questions

What is Péter Komjáth in simple terms?

Why does Péter Komjáth 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 Péter Komjáth?

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 Péter Komjáth.