mathematics

Johan Frederik Steffensen

Johan Frederik Steffensen 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 Johan Frederik Steffensen rather than just read about it. In short: Johan Frederik Steffensen (28 February 1873, in Copenhagen – 20 December 1961) was a Danish mathematician, statistician, and actuary who did research in the fields of calculus of finite differences and interpolation. He was professor of actuarial science at the University of Copenhagen from 1923 to 1943.

Key takeaways

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

Reference excerpt

Johan Frederik Steffensen (28 February 1873, in Copenhagen – 20 December 1961) was a Danish mathematician, statistician, and actuary who did research in the fields of calculus of finite differences and interpolation. He was professor of actuarial science at the University of Copenhagen from 1923 to 1943. Steffensen's inequality and Steffensen's method (an iterative numerical method) are named after him. He was an Invited Speaker at the 1912 International Congress of Mathematicians (ICM) in Cambridge, England and at the 1924 ICM in Toronto.

... His more important works included the theory of statistics (1923), interpolation (1925), insurance mathematics (1934) and the calculation of interest (1936). ... He was President of the Danish Actuarial Society in 1922-24 and 1930-33, and of the Danish Mathematical Society in 1930-36 ...

Publications Factorial moments and discontinuous frequency-functions. Uppsala: Almqvist & Wiksells Boktryckeri-A.B. 1923; 89 pages{{cite book}}: CS1 maint: postscript (link) Interpolation. London: Williams & Wilkins. 1927.

Obituary Nordlund N. E. (1962). "Johan Frederik Steffensen in memoriam". Nordisk Matematisk Tidsskrift. 10: 105–107.

References

External links Johan Frederik Steffensen papirer (Danish)

Worked examples

Example 1 — a first encounter with Johan Frederik Steffensen

Start with the simplest possible case. Write down what Johan Frederik Steffensen 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 Johan Frederik Steffensen 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 Johan Frederik Steffensen 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 Johan Frederik Steffensen

In research: Johan Frederik Steffensen 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 Johan Frederik Steffensen 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: Johan Frederik Steffensen is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1873 births, 1961 deaths, Danish actuaries, so understanding it makes those chapters shorter.
In everyday life: Look for Johan Frederik Steffensen 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 Johan Frederik Steffensen in 20 minutes

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

Frequently asked questions

What is Johan Frederik Steffensen in simple terms?

Why does Johan Frederik Steffensen 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 Johan Frederik Steffensen?

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 Johan Frederik Steffensen.