mathematics

Jan Brinkhuis

Jan Brinkhuis 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 Jan Brinkhuis rather than just read about it. In short: Jan Brinkhuis (born 1952) is a Dutch mathematician, and associate professor of Finance and Mathematical Methods and Techniques at the Econometric Institute of Erasmus University Rotterdam, specialized in the theory and application of optimization theory and game theory. Born in Veenendaal, Brinkhuis received his PhD in mathematics in 1981 at King's College London under supervisor of Albrecht Fröhlich with the thesis…

Key takeaways

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

Reference excerpt

Jan Brinkhuis (born 1952) is a Dutch mathematician, and associate professor of Finance and Mathematical Methods and Techniques at the Econometric Institute of Erasmus University Rotterdam, specialized in the theory and application of optimization theory and game theory. Born in Veenendaal, Brinkhuis received his PhD in mathematics in 1981 at King's College London under supervisor of Albrecht Fröhlich with the thesis Embedding Problems and Galois Modules. After graduation, he started his academic career as research associate at King's College London on a SERC grant. In 1983 he moved back to The Netherlands and joined the Econometric Institute of Erasmus University Rotterdam. Since early 2000s Brinkhuis is also teacher at the Tinbergen Institute. In 2000 Brinkhuis was awarded Education and Research award by the Erasmus University Rotterdam, and in 2009 he was elected Tinbergen Professor of the Year 2008/2009 by the first-year students. In 2005 Brinkhuis and Vladimir Tikhomirov wrote Optimization: Insights and Applications an introduction to mathematical optimization, published by Princeton University Press.

Publications Books

1981. Embedding Problems and Galois Modules. PhD thesis King's College London. 1986. Normal integral bases and complex conjugation. Econometric Institute. 2005. Optimization: Insights and Applications, Jan Brinkhuis and Vladimir Tikhomirov, Princeton University Press Articles, a selection:

1983. "Non-repetitive sequences on three symbols." Quarterly Journal of Mathematics 34.2: 145–149. 1992. "On the Galois module structure over CM-fields." manuscripta mathematic 75.1 (1992): 333–347.

References

External links Jan Brinkhuis at erim.eur.nl

Worked examples

Example 1 — a first encounter with Jan Brinkhuis

Start with the simplest possible case. Write down what Jan Brinkhuis 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 Jan Brinkhuis 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 Jan Brinkhuis 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 Jan Brinkhuis

In research: Jan Brinkhuis 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 Jan Brinkhuis 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: Jan Brinkhuis is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1952 births, Academic staff of Erasmus University Rotterdam, Alumni of King's College London, so understanding it makes those chapters shorter.
In everyday life: Look for Jan Brinkhuis 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 Jan Brinkhuis in 20 minutes

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

Frequently asked questions

What is Jan Brinkhuis in simple terms?

Why does Jan Brinkhuis 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 Jan Brinkhuis?

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 Jan Brinkhuis.