mathematics

Matti Vuorinen

Matti Vuorinen 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 Matti Vuorinen rather than just read about it. In short: Matti Vuorinen (born 6 November 1948 in Turku) is a Finnish mathematician working in the area of classical analysis. His main topics of interest include geometric function theory, quasiregular and quasiconformal mappings, computational potential theory, and generalized hyperbolic geometry.

Key takeaways

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

Reference excerpt

Matti Vuorinen (born 6 November 1948 in Turku) is a Finnish mathematician working in the area of classical analysis. His main topics of interest include geometric function theory, quasiregular and quasiconformal mappings, computational potential theory, and generalized hyperbolic geometry. He has worked as a professor of mathematics at the University of Turku and University of Helsinki, Finland and supervised 13 PhD theses and more than a hundred MSc theses. Together with Olli Martio he organized the Helsinki Analysis Seminar three decades, in 1986–2016. With the grants of Academy of Finland and other grants he has hosted more than a hundred research/postdoc visits to Universities of Turku and Helsinki. His network of coauthors includes 80 mathematicians from all corners of world: European countries, USA, Russia, China, India, Japan, New Zealand. His collaboration with this network includes more than 200 publications, including 3 books on quasiregular and quasiconformal mappings. He has worked altogether more than five years at leading research institutions of his research area: The University of Michigan, Ann Arbor, Michigan, Technische Universität Berlin, the Mittag-Leffler Institute, Sweden, Institute of Mathematics, Novosibirsk.

Selected publications P. Hariri, R. Klén and M. Vuorinen: Conformally Invariant Metrics and Quasiconformal Mappings. Springer. 2020. ISBN 978-3-030-32067-6; xix+502 pp.{{cite book}}: CS1 maint: postscript (link) M. Vuorinen: Conformal geometry and quasiregular mappings. Lecture Notes in Mathematics. Vol. 1319. Berlin, Heidelberg, New York: Springer-Verlag. 1988. ISBN 3-540-19342-1; xix+209 pp.{{cite book}}: CS1 maint: postscript (link) G.D. Anderson, M.K. Vamanamurthy, M.K. Vuorinen: Conformal invariants, inequalities, and quasiconformal maps. Canadian Mathematical Society Series of Monographs and Advanced Texts. New York: A Wiley-Interscience Publication. John Wiley & Sons. 1997. ISBN 0-471-59486-5; xxviii+505 pp.{{cite book}}: CS1 maint: postscript (link)

References

Matti Vuorinen at the Mathematics Genealogy Project Conformal Geometry and Quasiregular Mappings arXiv Scholar Google ResearchGate

Worked examples

Example 1 — a first encounter with Matti Vuorinen

Start with the simplest possible case. Write down what Matti Vuorinen 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 Matti Vuorinen 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 Matti Vuorinen 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 Matti Vuorinen

In research: Matti Vuorinen 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 Matti Vuorinen 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: Matti Vuorinen is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1948 births, 20th-century Finnish mathematicians, 21st-century Finnish mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Matti Vuorinen 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 Matti Vuorinen in 20 minutes

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

Frequently asked questions

What is Matti Vuorinen in simple terms?

Why does Matti Vuorinen 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 Matti Vuorinen?

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 Matti Vuorinen.