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Kurt Hensel

Kurt Hensel 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 Kurt Hensel rather than just read about it. In short: Kurt Wilhelm Sebastian Hensel (29 December 1861 – 1 June 1941) was a German mathematician born in Königsberg, best known for introducing the p-adic numbers. Life and career Hensel was born in Königsberg, Province of Prussia (today Kaliningrad, Russia), the son of Julia (née von Adelson) and landowner and entrepreneur Sebastian Hensel.

Kurt Hensel — main illustration
Kurt Hensel — illustration

Key takeaways

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

Reference excerpt

Kurt Wilhelm Sebastian Hensel (29 December 1861 – 1 June 1941) was a German mathematician born in Königsberg, best known for introducing the p-adic numbers.

Life and career Hensel was born in Königsberg, Province of Prussia (today Kaliningrad, Russia), the son of Julia (née von Adelson) and landowner and entrepreneur Sebastian Hensel. He was the brother of philosopher Paul Hensel. Kurt and Paul's paternal grandparents were painter Wilhelm Hensel and composer Fanny Hensel. Fanny was the sister of Felix Mendelssohn, daughter of Abraham Mendelssohn Bartholdy, and granddaughter of philosopher Moses Mendelssohn, and entrepreneur Daniel Itzig. Both of Hensel's grandmothers and his mother were from Jewish families that had converted to Christianity. Hensel studied mathematics in Berlin and Bonn, under the mathematicians Leopold Kronecker and Karl Weierstrass. Later in his life Hensel was a professor at the University of Marburg until 1930. He was also an editor of the mathematical Crelle's Journal. He edited the five-volume collected works of Leopold Kronecker. Hensel is well known for his introduction of p-adic numbers. First described by him in 1897, they became increasingly important in number theory and other fields during the twentieth century.

Publications Theorie der algebraischen Funktionen einer Variabeln und ihre Anwendung auf algebraische Kurven und Abelsche Integrale (zus. mit Georg Landsberg) Teubner, Leipzig 1902 Theorie der algebraischen Zahlen Teubner, Leipzig 1908 Zahlentheorie Göschen, Berlin 1913 Gedächtnisrede auf Ernst Eduard Kummer zu dessen 100. Geburtstag Über eine neue Begründung der Theorie der algebraischen Zahlen, Jahresbericht DMV, Band 6, 1899

References

External links

Kurt Hensel at the Mathematics Genealogy Project O'Connor, John J.; Robertson, Edmund F., "Kurt Hensel", MacTutor History of Mathematics Archive, University of St Andrews Works by Kurt Hensel at Project Gutenberg Works by or about Kurt Hensel at the Internet Archive Helmut Hasse: Kurt Hensel zum Gedächtnis in: Journal für die reine und angewandte Mathematik 187 (1949), S. 1-13 Die Hensel-Familie im Stammbaum der Katzenelnbogen, der Mendelssohns und Bartholdys und ihre Abkömmlinge von 1729 bis ca. 1987 Literature by and about Kurt Hensel in the German National Library catalogue

Illustrations

Kurt Hensel illustration

Worked examples

Example 1 — a first encounter with Kurt Hensel

Start with the simplest possible case. Write down what Kurt Hensel 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 Kurt Hensel 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 Kurt Hensel 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 Kurt Hensel

In research
Kurt Hensel 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 Kurt Hensel 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
Kurt Hensel is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1861 births, 1941 deaths, 19th-century German mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Kurt Hensel 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 Kurt Hensel in 20 minutes

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

Frequently asked questions

What is Kurt Hensel in simple terms?

Kurt Wilhelm Sebastian Hensel (29 December 1861 – 1 June 1941) was a German mathematician born in Königsberg, best known for introducing the p-adic numbers. Life and career Hensel was born in Königsberg, Province of Prussia (today Kaliningrad, Russia), the son of Julia (née von Adelson) and landown…

Why does Kurt Hensel 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 Kurt Hensel?

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 Kurt Hensel.

Tags

  • 1861 births
  • 1941 deaths
  • 19th-century German mathematicians
  • 20th-century German mathematicians
  • Academic staff of Marburg University
  • German number theorists
  • German people of Jewish descent
  • Hensel family
  • People from the Province of Prussia
  • Presidents of the German Mathematical Society
  • Scientists from Königsberg
  • University of Bonn alumni

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