mathematics

Günter Pilz

Günter Pilz 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 Günter Pilz rather than just read about it. In short: Günter Pilz (born 1945 in Bad Hall, Upper Austria) is professor of mathematics at the Johannes Kepler University (JKU) Linz. Until his retirement in 2013 he was the head of the Institute of Algebra.

Key takeaways

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

Reference excerpt

Günter Pilz (born 1945 in Bad Hall, Upper Austria) is professor of mathematics at the Johannes Kepler University (JKU) Linz. Until his retirement in 2013 he was the head of the Institute of Algebra.

Vita After studying mathematics and physics at the University of Vienna (1963–1967) and his PhD (1967), Günter Pilz was assistant professor at several institutions: at the department of mathematics of the University of Vienna (1966–1968), at the department of statistics at the Vienna University of Technology (1968–1969), as research associate at the department of mathematics, University of Arizona, United States (1969–1970) and at the department of mathematics at the University of Linz (1970–1974). In 1971, he received his Habilitation. In 1974, he was promoted to a professor of mathematics at the JKU. He was head of the department of mathematics in Linz (1980–1983 und 1987–1993) and head of the Institute of Algebra (since 1996). From 1996 to 2000, Günter Pilz was dean of studies at the Faculty of Science and Technology and from 2000 to 2007 vice rector for research. Also, he was the chairman in the “Forum Research” of the Austrian Conference of Rectors from 2001 to 2005 and was chosen in 2003 to be the Austrian representative for Research Integrity in the corresponding OECD group. His main area of research is the theory and applications of algebraic structures. He is honorary professor at the Shandong University of Technology in China and Honorary Doctor from the Ural State University in Ekaterinburg, Russia. He was also a member in the Council for Research and Technology in Upper Austria (2003–2008).

Main areas of research Theory and applications of near-rings: these are "collections of objects with which one can calculate almost as well as with numbers". These near-rings have numerous applications, for instance in the construction of optimal designs for statistical experiments.

Prizes Honorary medal in silver, by the County of Upper Austria (2007/08)

External links The Institute of Algebra Publications by Günter Pilz

Worked examples

Example 1 — a first encounter with Günter Pilz

Start with the simplest possible case. Write down what Günter Pilz 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 Günter Pilz 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 Günter Pilz 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 Günter Pilz

In research: Günter Pilz 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 Günter Pilz 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: Günter Pilz is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1945 births, Academic staff of Johannes Kepler University Linz, Austrian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Günter Pilz 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 Günter Pilz in 20 minutes

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

Frequently asked questions

What is Günter Pilz in simple terms?

Günter Pilz (born 1945 in Bad Hall, Upper Austria) is professor of mathematics at the Johannes Kepler University (JKU) Linz. Until his retirement in 2013 he was the head of the Institute of Algebra.

Why does Günter Pilz 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 Günter Pilz?

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 Günter Pilz.