mathematics

Miklós Bóna

Miklós Bóna 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 Miklós Bóna rather than just read about it. In short: Miklós Bóna (born in Székesfehérvár) is an American mathematician of Hungarian origin. Bóna completed his undergraduate studies in Budapest and Paris, then obtained his Ph.D. at MIT in 1997 as a student of Richard P.

Key takeaways

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

Reference excerpt

Miklós Bóna (born in Székesfehérvár) is an American mathematician of Hungarian origin. Bóna completed his undergraduate studies in Budapest and Paris, then obtained his Ph.D. at MIT in 1997 as a student of Richard P. Stanley. Since 1999, he has taught at the University of Florida, where in 2010 he was inducted to the Academy of Distinguished Teaching Scholars. Bóna's main fields of research include the combinatorics of permutations, as well as enumerative and analytic combinatorics. Since 2010, he has been one of the editors-in-chief of the Electronic Journal of Combinatorics.

Books Miklós Bóna (2016). A Walk Through Combinatorics. Singapore: World Scientific. ISBN 978-9814460002. Miklós Bóna (2012). Combinatorics of Permutations. Boca Raton, Florida: CRC Press & Chapman Hall. ISBN 978-1439850510. Miklós Bóna (2012). Introduction to Enumerative Combinatorics. Boston: McGraw-Hill. ISBN 978-0073125619. Bona (2006). pbk 1st edition. McGraw-Hill Education (India) Pvt Limited. ISBN 978-0070616110. Bona, Miklos (2007). hbk 1st edition. McGraw-Hill Education. ISBN 978-0-07-312561-9. Miklós Bóna and Sergei Shabanov (2012). Concepts in Calculus. Gainesville, FL: Orange Grove Texts Plus. ISBN 978-1616101701. Miklós Bóna, ed. (2015). Handbook of Enumerative Combinatorics. Boca Raton, Florida: CRC Press & Chapman Hall. ISBN 9781482220858. Miklós Bóna (2015). Introduction to Enumerative and Analytic Combinatorics. Boca Raton, Florida: CRC Press & Chapman Hall. ISBN 978-1482249095.

External links Professional home page

References

Illustrations

Worked examples

Example 1 — a first encounter with Miklós Bóna

Start with the simplest possible case. Write down what Miklós Bóna 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 Miklós Bóna 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 Miklós Bóna 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 Miklós Bóna

In research: Miklós Bóna 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 Miklós Bóna 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: Miklós Bóna is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1967 births, 20th-century American mathematicians, 20th-century Hungarian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Miklós Bóna 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 Miklós Bóna in 20 minutes

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

Frequently asked questions

What is Miklós Bóna in simple terms?

Why does Miklós Bóna 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 Miklós Bóna?

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 Miklós Bóna.