mathematics

Rolf Schneider

Rolf Schneider 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 Rolf Schneider rather than just read about it. In short: Rolf Georg Schneider (born 17 March 1940, Hagen, Germany) is a mathematician. Schneider is a professor emeritus at the University of Freiburg.

Key takeaways

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

Reference excerpt

Rolf Georg Schneider (born 17 March 1940, Hagen, Germany) is a mathematician. Schneider is a professor emeritus at the University of Freiburg. His main research interests are convex geometry and stochastic geometry.

Career Schneider completed his PhD 1967 with Ruth Moufang at Goethe University Frankfurt with a thesis titled (Elliptisch gekrümmte Hyperflächen in der affinen Differentialgeometrie im Großen). In 1969, he got his Habilitation in Bochum. In 1970, he was appointed as a full professor at Technische Universität Berlin and in 1974 at the University of Freiburg. He became a Fellow of the American Mathematical Society in 2015 and received an honorary doctorate of the University of Salzburg in 2004.

Research Rolf Schneider is known for his solution of Shephard's problem, his books on stochastic and integral geometry in long-standing collaboration with Wolfgang Weil, and his comprehensive monography on the Brunn–Minkowski theory.

References

Worked examples

Example 1 — a first encounter with Rolf Schneider

Start with the simplest possible case. Write down what Rolf Schneider 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 Rolf Schneider 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 Rolf Schneider 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 Rolf Schneider

In research: Rolf Schneider 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 Rolf Schneider 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: Rolf Schneider is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1940 births, 20th-century German mathematicians, 21st-century German mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Rolf Schneider 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 Rolf Schneider in 20 minutes

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

Frequently asked questions

What is Rolf Schneider in simple terms?

Rolf Georg Schneider (born 17 March 1940, Hagen, Germany) is a mathematician. Schneider is a professor emeritus at the University of Freiburg.

Why does Rolf Schneider 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 Rolf Schneider?

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 Rolf Schneider.