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Jiří Matoušek (mathematician)

Jiří Matoušek (mathematician) 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 Jiří Matoušek (mathematician) rather than just read about it. In short: Jiří (Jirka) Matoušek (10 March 1963 – 9 March 2015) was a Czech mathematician working in computational geometry and algebraic topology. He was a professor at Charles University in Prague and the author of several textbooks and research monographs.

Jiří Matoušek (mathematician) — main illustration
Jiří Matoušek (mathematician) — illustration

Key takeaways

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

Reference excerpt

Jiří (Jirka) Matoušek (10 March 1963 – 9 March 2015) was a Czech mathematician working in computational geometry and algebraic topology. He was a professor at Charles University in Prague and the author of several textbooks and research monographs.

Biography Matoušek was born in Prague. In 1986, he received his Master's degree at Charles University under Miroslav Katětov. From 1986 until his death he was employed at the Department of Applied Mathematics of Charles University, holding a professor position since 2000. He was also a visiting and later full professor at ETH Zurich. In 1996, he won the European Mathematical Society prize and in 2000 he won the Scientist award of the Learned Society of the Czech Republic. In 1998 he was an Invited Speaker of the International Congress of Mathematicians in Berlin. He became a fellow of the Learned Society of the Czech Republic in 2005. Matoušek's paper on computational aspects of algebraic topology won the Best Paper award at the 2012 ACM Symposium on Discrete Algorithms. Aside from his own academic writing, he has translated the popularization book Mathematics: A Very Short Introduction by Timothy Gowers into Czech. He was a supporter and signatory of the Cost of Knowledge protest. Matoušek died in 2015, aged 51. In 2021, a lecture hall at the Faculty of Mathematics and Physics, Charles University, was named after him.

Books

Invitation to Discrete Mathematics (with Jaroslav Nešetřil). Oxford University Press, 1998. ISBN 978-0-19-850207-4. Translated into French by Delphine Hachez as Introduction aux Mathématiques Discrètes, Springer-Verlag, 2004, ISBN 978-2-287-20010-6. Geometric Discrepancy: An Illustrated Guide. Springer-Verlag, Algorithms and Combinatorics 18, 1999, ISBN 978-3-540-65528-2. Lectures on Discrete Geometry. Springer-Verlag, Graduate Texts in Mathematics, 2002, ISBN 978-0-387-95373-1. Using the Borsuk-Ulam Theorem: Lectures on Topological Methods in Combinatorics and Geometry. Springer-Verlag, 2003. ISBN 978-3-540-00362-5. Topics in Discrete Mathematics: Dedicated to Jarik Nešetřil on the Occasion of His 60th Birthday (with Martin Klazar, Jan Kratochvíl, Martin Loebl, Robin Thomas, and Pavel Valtr). Springer-Verlag, Algorithms and Combinatorics 26, 2006. ISBN 978-3-540-33698-3. Understanding and Using Linear Programming (with B. Gärtner). Springer-Verlag, Universitext, 2007, ISBN 978-3-540-30697-9. Thirty-three miniatures — Mathematical and algorithmic applications of linear algebra. American Mathematical Society, 2010, ISBN 978-0-8218-4977-4. Approximation Algorithms and Semidefinite Programming (with B. Gärtner). Springer Berlin Heidelberg, 2012, ISBN 978-3-642-22014-2. Mathematics++: Selected Topics Beyond the Basic Courses (with Ida Kantor and Robert Šámal). American Mathematical Society, 2015, ISBN 978-1-4704-2261-5.

See also Ham sandwich theorem Discrepancy theory Kneser graph

References

External links Jiri Matousek home page

Illustrations

Jiří Matoušek (mathematician) illustration

Worked examples

Example 1 — a first encounter with Jiří Matoušek (mathematician)

Start with the simplest possible case. Write down what Jiří Matoušek (mathematician) 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 Jiří Matoušek (mathematician) 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 Jiří Matoušek (mathematician) 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 Jiří Matoušek (mathematician)

In research
Jiří Matoušek (mathematician) 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 Jiří Matoušek (mathematician) 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
Jiří Matoušek (mathematician) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1963 births, 2015 deaths, Academic staff of Charles University, so understanding it makes those chapters shorter.
In everyday life
Look for Jiří Matoušek (mathematician) 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 Jiří Matoušek (mathematician) in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Jiří Matoušek (mathematician) means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Jiří Matoušek (mathematician) out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Jiří Matoušek (mathematician) in simple terms?

Jiří (Jirka) Matoušek (10 March 1963 – 9 March 2015) was a Czech mathematician working in computational geometry and algebraic topology. He was a professor at Charles University in Prague and the author of several textbooks and research monographs.

Why does Jiří Matoušek (mathematician) 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 Jiří Matoušek (mathematician)?

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 Jiří Matoušek (mathematician).

Tags

  • 1963 births
  • 2015 deaths
  • Academic staff of Charles University
  • Academic staff of ETH Zurich
  • Charles University alumni
  • Combinatorialists
  • Czech mathematicians
  • Mathematicians from Prague
  • Researchers in geometric algorithms
  • Topologists

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