mathematics

Gerrit van Dijk (mathematician)

Gerrit van Dijk (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 Gerrit van Dijk (mathematician) rather than just read about it. In short: Gerrit van Dijk (14 August 1939, Kampen, Overijssel – 16 April 2022) was a Dutch professor of mathematics and physics. In 2004 he was appointed an Officer of the Order of Orange-Nassau.

Key takeaways

Gerrit van Dijk (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 Gerrit van Dijk (mathematician) to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Gerrit van Dijk (mathematician) from memory before moving on to harder problems.

Reference excerpt

Gerrit van Dijk (14 August 1939, Kampen, Overijssel – 16 April 2022) was a Dutch professor of mathematics and physics. In 2004 he was appointed an Officer of the Order of Orange-Nassau.

Biography Van Dijk studied mathematics at Utrecht University, where he received his PhD in 1969 with thesis advisor T. A. Springer. As a postdoc, van Dijk worked for the academic year 1969–1970 in Princeton, New Jersey at the Institute for Advanced Study. There he was inspired by Harish-Chandra to study harmonic analysis with the representation theory of Lie groups and prepared the notes for Harish-Chandra's 1969 monograph Harmonic analysis on reductive p-adic groups. From 1970 to 1972 van Dijk was a staff member at Utrecht University. At Leiden University he was appointed lecturer in 1972 and was promoted to professor in 1980. From 1988 to 1992 he was Leiden University's dean of the faculty of mathematics and natural sciences. He was from 1995 to 1997 he was the director of Leiden University's Lorenz Center and from 1997 to 2004 the director of Leiden University's Mathematical Institute. From 2003 to 2004 he directed the Leiden Institute for Advanced Computer Science (LIACS). He was a professor at Leiden University until 2004, when he retired as professor emeritus. Van Dijk was a visiting professor at various universities in several countries: Germany (Göttingen), France (Nancy), Japan (Fukuoka), Russia (Tambov), and Sweden (Stockholm). He was a member of the Royal Dutch Mathematical Society, the Batavian Society for Experimental Philosophy, and the Koninklijke Hollandsche Maatschappij der Wetenschappen. He supervised 14 doctoral dissertations (some of them with Tom Koornwinder). Van Dijk did research on Lie groups, p-adic representation theory, harmonic analysis, symmetric spaces, homogeneous spaces, Gelfand pairs, and Berezin transforms with generalizations. His collaborators include Vladimir Fedorovich Molchanov, Masato Wakayama, Tom Koornwinder, and Erik G. F. Thomas. Van Dijk's doctoral students include Gerrit Heckman and Eric Opdam (known for Heckman–Opdam polynomials). Van Dijk did historical research on the life and work of the 19th-century Dutch mathematician Thomas Joannes Stieltjes, as well as other Leiden mathematics professors from the past. This research work resulted in a new issue of Stieltjes's collected works, a portrait gallery in Leiden University's Mathematical Institute, and publication of the book Leidse hoogleraren Wiskunde 1575-1975, which documents the lives of about forty Leiden mathematics professors. Van Dijk was married and had three children.

Selected publications Spherical functions on the þ-adic group PGL. Amsterdam: North-Holland Publishing Company (N.V. Noord-Hollandsche Uitgevers Maatschappij). 1969. LCCN 70458330. (doctoral disseration; summary in Dutch) with Mannes Poel: The GL(2n-1,R)-spherical representations of SL(2n,R). Groningen: University of Groningen. 1988. as editor with Lambertus A. Pelletier: Thomas Joannes Stieltjes jr., 1856-1894: eredoctor van de Leidse Universiteit. Universiteit Leiden. 1989. Oeuvres complètes = Collected papers / [par] Thomas Jan Stieltjes (reissue of the Oeuvres completes by Stieltjes (with a concise biography and commentaries by Gerrit van Dijk) published by Springer. Berlin/New York. 1993 LCCN 93-9944 Dat was afgesproken (That was agreed). Universiteit Leiden. 2004. (emeritus farewell speech in Dutch) Geloof in de wiskunde: over de getallen van Fibonacci in kunst en literatuur, hun goddelijke status en een discussie over religie en wiskunde (Faith in mathematics: on the Fibonacci numbers in art and literature, their divine status, and a discussion on religion and mathematics). Haarlem: Koninklijke Hollandsche Maatschappij der Wetenschappen (Royal Dutch Society of Mathematics). 2006. Introduction to harmonic analysis and generalized Gelfand pairs. Berlin: Walter de Gruyter. 2009. ISBN 978-3-11-022019-3. as editor with Masato Wakayama: Casimir force, Casimir operators, and the Riemann hypothesis : mathematics for innovation in industry and science. Berlin; New York: De Gruyter. 2010. ISBN 978-3110226126. LCCN 2010031030. Leidse Hoogleraren Wiskunde 1575-1975 (PDF). Universiteit Leiden. 2011. (in Dutch) Distribution theory: convolution, Fourier transform, and Laplace transform. Berlin: De Gruyter. 2013. ISBN 978-3110295917. LCCN 2012554713.

References

Worked examples

Example 1 — a first encounter with Gerrit van Dijk (mathematician)

Start with the simplest possible case. Write down what Gerrit van Dijk (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 Gerrit van Dijk (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 Gerrit van Dijk (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 Gerrit van Dijk (mathematician)

In research: Gerrit van Dijk (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 Gerrit van Dijk (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: Gerrit van Dijk (mathematician) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1939 births, 2022 deaths, Academic staff of Leiden University, so understanding it makes those chapters shorter.
In everyday life: Look for Gerrit van Dijk (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 Gerrit van Dijk (mathematician) in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Gerrit van Dijk (mathematician) 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 Gerrit van Dijk (mathematician) out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Gerrit van Dijk (mathematician) in simple terms?

Gerrit van Dijk (14 August 1939, Kampen, Overijssel – 16 April 2022) was a Dutch professor of mathematics and physics. In 2004 he was appointed an Officer of the Order of Orange-Nassau.

Why does Gerrit van Dijk (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 Gerrit van Dijk (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 Gerrit van Dijk (mathematician).