mathematics

Viggo Stoltenberg-Hansen

Viggo Stoltenberg-Hansen 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 Viggo Stoltenberg-Hansen rather than just read about it. In short: Viggo Stoltenberg-Hansen, born 1942, professor at Uppsala University, Department of Mathematics, is a Swedish mathematician/logician and expert on domain theory and recursion theory (also known as computability theory). Viggo received his PhD in Mathematics (titled "On Priority Arguments In Friedberg Theories") from University of Toronto in 1973.

Key takeaways

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

Reference excerpt

Viggo Stoltenberg-Hansen, born 1942, professor at Uppsala University, Department of Mathematics, is a Swedish mathematician/logician and expert on domain theory and recursion theory (also known as computability theory). Viggo received his PhD in Mathematics (titled "On Priority Arguments In Friedberg Theories") from University of Toronto in 1973.

Work on domain theory Viggo Stoltenberg-Hansen and John Tucker developed in the early 1980s a general method of domain representations of topological algebras. Viggo is the main author of the textbook "Mathematical Theory of Domains", Cambridge University Press, 1994 (coauthored by I. Lindström and E. Griffor), and also of a set of Marktoberdorf summer school lecture notes on domain theory.

Work on effective domains Viggo Stoltenberg-Hansen and John Tucker made a thorough analysis of the computability associated to effective algebras and continuity of homomorphisms between such.

Some References V Stoltenberg-Hansen and J V Tucker, Effective algebras, in S Abramsky, D Gabbay and T Maibaum (eds.), Handbook of Logic in Computer Science, Volume IV: Semantic Modelling, Oxford University Press (1995), pp357–526. V Stoltenberg-Hansen and J V Tucker, Computable rings and fields, in E Griffor (ed.), Handbook of Computability Theory, Elsevier (1999), pp363–447.

External links Viggo Stoltenberg-Hansen at the Mathematics Genealogy Project

Worked examples

Example 1 — a first encounter with Viggo Stoltenberg-Hansen

Start with the simplest possible case. Write down what Viggo Stoltenberg-Hansen 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 Viggo Stoltenberg-Hansen 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 Viggo Stoltenberg-Hansen 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 Viggo Stoltenberg-Hansen

In research: Viggo Stoltenberg-Hansen 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 Viggo Stoltenberg-Hansen 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: Viggo Stoltenberg-Hansen is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1942 births, Academic staff of Uppsala University, European mathematician stubs, so understanding it makes those chapters shorter.
In everyday life: Look for Viggo Stoltenberg-Hansen 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 Viggo Stoltenberg-Hansen in 20 minutes

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

Frequently asked questions

What is Viggo Stoltenberg-Hansen in simple terms?

Why does Viggo Stoltenberg-Hansen 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 Viggo Stoltenberg-Hansen?

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 Viggo Stoltenberg-Hansen.