mathematics

Klaus Schmidt (mathematician)

Klaus Schmidt (mathematician) 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 Klaus Schmidt (mathematician) rather than just read about it. In short: Klaus D. Schmidt (born 25 September 1943) is an Austrian mathematician and retired professor at the Faculty of Mathematics, University of Vienna.

Key takeaways

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

Reference excerpt

Klaus D. Schmidt (born 25 September 1943) is an Austrian mathematician and retired professor at the Faculty of Mathematics, University of Vienna. After studying mathematics at the University of Vienna he received his doctorate in 1968 under Edmund Hlawka. He held visiting professorships in Technical University of Vienna, University of Manchester in 1969, Bedford College (1969–1974) and the University of Warwick from 1974 to 1994 after which he came back to the University of Vienna. He retired in 2009. In 1975/76 K. R. Parthasarathy invited Klaus Schmidt to spend 7 months at the new Delhi Centre of Indian Statistical Institute (Parthasarathy was then working at the Indian Institute of Technology, Delhi). In 1994 he was awarded the Ferran Sunyer i Balaguer Prize for the monograph Dynamical systems of algebraic origin. He is member of the Austrian Academy of Sciences. He has researched among other things, ergodic theory and its connections with arithmetic, commutative algebra, harmonic analysis, operator algebras and probability theory.

Publications Positive definite kernels, continuous tensor products, and central limit theorems in probability theory (with KR Parthasarathy). Lecture Notes in Mathematics, Vol 272, Springer Verlag 1972. Cocycles of ergodic transformation groups. Lecture Notes in Mathematics, Vol 1, MacMillan (India) 1977. Algebraic Ideas in Ergodic Theory. CBMS Lecture Notes, Vol 76, Amer. Math Soc. 1990. Dynamical systems of algebraic origin. Progress in Mathematics, Vol 128, Birkhauser Verlag 1995. Schmidt, Klaus (5 January 2012). 2012 reprint. ISBN 9783034802765.

References

External links Klaus Schmidt's Home Page

Illustrations

Klaus Schmidt (mathematician) illustration

Worked examples

Example 1 — a first encounter with Klaus Schmidt (mathematician)

Start with the simplest possible case. Write down what Klaus Schmidt (mathematician) 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 Klaus Schmidt (mathematician) 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 Klaus Schmidt (mathematician) 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 Klaus Schmidt (mathematician)

In research: Klaus Schmidt (mathematician) 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 Klaus Schmidt (mathematician) 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: Klaus Schmidt (mathematician) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1943 births, Academic staff of the University of Vienna, Austrian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Klaus Schmidt (mathematician) 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.

Ask Teacher Smith questions about this articleOpens your AI tutor with a question about “Klaus Schmidt (mathematician)” →

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Klaus Schmidt (mathematician) in 20 minutes

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

Frequently asked questions

What is Klaus Schmidt (mathematician) in simple terms?

Klaus D. Schmidt (born 25 September 1943) is an Austrian mathematician and retired professor at the Faculty of Mathematics, University of Vienna.

Why does Klaus Schmidt (mathematician) 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 Klaus Schmidt (mathematician)?

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 Klaus Schmidt (mathematician).