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Volkert Simon Maarten van der Willigen

Volkert Simon Maarten van der Willigen 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 Volkert Simon Maarten van der Willigen rather than just read about it. In short: Volkert Simon Maarten van der Willigen (9 May 1822 – 19 February 1878), sometimes referred to as Volcardus Simon Martinus van der Willigen, was a Dutch mathematician, physicist and professor. Life Volkert was born in Rockanje, son of the minister Johannes van der Willigen (1777–1857) and his wife Gerarde Maria Elsabé Bodde (1795–1865).

Volkert Simon Maarten van der Willigen — main illustration
Volkert Simon Maarten van der Willigen — illustration

Key takeaways

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

Reference excerpt

Volkert Simon Maarten van der Willigen (9 May 1822 – 19 February 1878), sometimes referred to as Volcardus Simon Martinus van der Willigen, was a Dutch mathematician, physicist and professor.

Life Volkert was born in Rockanje, son of the minister Johannes van der Willigen (1777–1857) and his wife Gerarde Maria Elsabé Bodde (1795–1865). He was the nephew of the Dutch patriot and writer Adriaan van der Willigen. He studied at the Hoogeschool Leiden (the current Leiden University) and promoted in 1847 with his dissertation De aberratione lucis (on the aberrations of the light). After graduating he became teacher at the Latin school in Amsterdam. In 1848 he was appointed to professor in the mathematics and physics and philosophy at Athenaeum Illustre in Deventer. He accepted his appointment with the lauratio Over natuur- en sterrekundig onderzoek (On physical and astronomical research). In 1857 he became a member of the Koninklijke Nederlandse Akademie van Wetenschappen (Netherlands Royal Academy of Sciences). When the Athenaeum Illustre of Deventer was abolished in 1864, he was appointed conservator of the Physical Cabinet of the Teylers Museum in Haarlem where Jacob Gijsbertus Samuël van Breda had resigned his post nine months earlier. Contrary to Van Breda however, Van der Willigen refused to accept the responsibility for the Paleontological-Mineralogical cabinet alongside his duties for the Physical cabinet, and that position was later filled by Tiberius Cornelis Winkler. Thus free to devote himself to the instrument collection and physics experiments, in the years that he spent at Teylers, Van der Willigen published 51 papers. As a scientist, Van der Willigen did significant work in the research on physical units – where he tried to use the wavelength of light to set a new and trustworthy standard for a unit of distance. In those days there was insufficient data on the reliability of measurement units because errors had been made in the standards based on the circumference of the earth. The Dutch Minister of the Interior had requested the Koninklijke Nederlandse Akademie van Wetenschappen in 1851 to come up with a new standard for both length and weight. Inspired by this discussion and a publication by the Swedish scientist Anders Ångström in 1855, Van der Willigen decided to dedicate himself first to the determination of the refractive index and the wavelength of light, in order to be able to more accurately define the unit of length. In the inner garden of the Museum, he had a small observatory built in 1866/1867, where he set up several precision instruments to determine the latitude (zenith telescope) and time (clock). There he also kept an astronomical regulator, heliostat, spectroscope, diffraction gratings, microscope with micrometer, balance, thermometers and barometers. He also ordered the standards of length (glass) and weight (copper). Combining these instruments he tried to determine a standard of length by use of a seconds pendulum (initially a Foucault pendulum, later he ordered a Repsold reversible pendulum which arrived shortly after his death). Besides his work on measurements, he also purchased acoustics instruments, on which he gave a series of lectures in the museum. Van der Willigen became active in Haarlem society and was a member of the Haarlem city council from 1864 (the year of his arrival) to the year of his death.

Works (incomplete overview)

Iets over meteorologische waarnemingen (Something about meteorological observations) Slingerproeven te Deventer (Pendulum experiments in Deventer); 1852 Verzameling kleine geschriften (Collection of small writings); 1852 Bepaling der poolshoogte voor Deventer (Determination of the pile height for Deventer); 1852 Proeve betreffende den galvanschen lichtboog (Experiment regarding the galvanic arc); 1854 Nog iets over electrische ringen (Another something about electrical rings); 1863 De coefficienten van breking van mengsels van zwavelzuur en water (The coefficients of refraction of mixtures of sulfuric acid and water); 1864 Over de verschijnselen van gekleurde polarisatie voor eenassige kristallen convergent licht (On the phenomena of colored polarization of single axis crystals converging light); 1873 Over de onhoudbaarheid der stelling dat de betrekking der lichtstralen wordt gewijzigd door de beweging van licht-bron en prisma (On the untenability of the proposition that the relation of light beams is changed by the movement of light source and prism); 1873 Mémoire sur la détermination des longueurs d'onde du spectre solaire (French); 1875 Over het electrisch spectrum (on the electric spectrum); unknown year Over eene optische illusie, waarbij het relief van het beschouwde voorwerp wordt omgekeerd (On an optical illusion, where the relief of the considered object is reversed); unknown year

References

External links Volkert Simon Maarten van der Willigen at the Mathematics Genealogy Project

Illustrations

Volkert Simon Maarten van der Willigen illustration

Worked examples

Example 1 — a first encounter with Volkert Simon Maarten van der Willigen

Start with the simplest possible case. Write down what Volkert Simon Maarten van der Willigen 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 Volkert Simon Maarten van der Willigen 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 Volkert Simon Maarten van der Willigen 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 Volkert Simon Maarten van der Willigen

In research
Volkert Simon Maarten van der Willigen 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 Volkert Simon Maarten van der Willigen 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
Volkert Simon Maarten van der Willigen is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1822 births, 1878 deaths, 19th-century Dutch mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Volkert Simon Maarten van der Willigen 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 Volkert Simon Maarten van der Willigen in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Volkert Simon Maarten van der Willigen 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 Volkert Simon Maarten van der Willigen out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Volkert Simon Maarten van der Willigen in simple terms?

Volkert Simon Maarten van der Willigen (9 May 1822 – 19 February 1878), sometimes referred to as Volcardus Simon Martinus van der Willigen, was a Dutch mathematician, physicist and professor. Life Volkert was born in Rockanje, son of the minister Johannes van der Willigen (1777–1857) and his wife G…

Why does Volkert Simon Maarten van der Willigen 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 Volkert Simon Maarten van der Willigen?

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 Volkert Simon Maarten van der Willigen.

Tags

  • 1822 births
  • 1878 deaths
  • 19th-century Dutch mathematicians
  • 19th-century Dutch physicists
  • Members of Teylers Tweede Genootschap
  • Members of the Royal Netherlands Academy of Arts and Sciences
  • People from Voorne aan Zee
  • Teylers Museum

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