mathematics

Hendrik Kloosterman

Hendrik Kloosterman 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 Hendrik Kloosterman rather than just read about it. In short: Hendrik Douwe Kloosterman (9 April 1900 – 6 May 1968) was a Dutch mathematician, known for his work in number theory (in particular, for introducing Kloosterman sums) and in representation theory. After completing his master's degree at Leiden University from 1918–1922 he studied at the University of Copenhagen with Harald Bohr and the University of Oxford with G.

Key takeaways

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

Reference excerpt

Hendrik Douwe Kloosterman (9 April 1900 – 6 May 1968) was a Dutch mathematician, known for his work in number theory (in particular, for introducing Kloosterman sums) and in representation theory. After completing his master's degree at Leiden University from 1918–1922 he studied at the University of Copenhagen with Harald Bohr and the University of Oxford with G. H. Hardy. In 1924, he received his Ph.D. in Leiden under the supervision of J. C. Kluyver. From 1926 to 1928 he studied at the Universities of Göttingen and Hamburg, and he was an assistant at the University of Münster from 1928-1930. Kloosterman was appointed lector (associate professorship) at Leiden University in 1930 and full professor in 1947. In 1950, he was elected a member of the Royal Netherlands Academy of Arts and Sciences.

References

External links Hendrik Kloosterman at the Mathematics Genealogy Project

Worked examples

Example 1 — a first encounter with Hendrik Kloosterman

Start with the simplest possible case. Write down what Hendrik Kloosterman 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 Hendrik Kloosterman 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 Hendrik Kloosterman 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 Hendrik Kloosterman

In research: Hendrik Kloosterman 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 Hendrik Kloosterman 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: Hendrik Kloosterman is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1900 births, 1968 deaths, 20th-century Dutch mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Hendrik Kloosterman 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 Hendrik Kloosterman in 20 minutes

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

Frequently asked questions

What is Hendrik Kloosterman in simple terms?

Why does Hendrik Kloosterman 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 Hendrik Kloosterman?

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 Hendrik Kloosterman.