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Hans-Wilhelm Knobloch

Hans-Wilhelm Knobloch is a astronomy 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 Hans-Wilhelm Knobloch rather than just read about it. In short: Hans-Wilhelm Knobloch (18 March 1927, in Schmalkalden – 10 July 2019) was a German mathematician, specializing in dynamical systems and control theory. Although the field of mathematical systems and control theory was already well-established in several other countries, Hans-Wilhelm Knobloch and Diederich Hinrichsen were the two mathematicians of most importance in establishing this field in Germany.

Key takeaways

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

Reference excerpt

Hans-Wilhelm Knobloch (18 March 1927, in Schmalkalden – 10 July 2019) was a German mathematician, specializing in dynamical systems and control theory. Although the field of mathematical systems and control theory was already well-established in several other countries, Hans-Wilhelm Knobloch and Diederich Hinrichsen were the two mathematicians of most importance in establishing this field in Germany.

Education and career After completing undergraduate study in mathematics from 1946 to 1950 at the University of Greifswald, he matriculated at the Humboldt University of Berlin, where he received his PhD in 1950. His thesis Über galoissche Algebren (On Galois algebras) was supervised by Helmut Hasse. After completing his doctorate, Knobloch, with the aid of a scholarship, followed Hasse to the University of Hamburg. In 1952 and 1953 Knobloch held a teaching appointment at the University of Würzburg, after which he was offered a scholarship to complete his habilitation. After completing his habitation at the University of Würzburg in 1957, he was appointed to a substitute professorship in Münster. He held temporary academic posts at the Technical University of Munich, the University of Michigan from 1962 to 1963, and Denmark's Aarhus University from 1963 to 1965. From 1965 to 1970 he held a full professorship at Technische Universität Berlin. In 1970 at the University of Würzburg he accepted the professorial chair for control theory and dynamical systems, which he held until his retirement as professor emeritus in 1995. In the 1950s Knobloch published several papers in algebra and number theory. In 1958 he published two papers in integral transforms and differential equations. By the 1960s he focused on differential equations and control theory. He made important contributions in the theory of the existence of periodic solutions of non-linear differential equations, the construction of integral manifolds for ordinary differential equations, and necessary higher-order conditions for optimal control problems. In 1983 he was an invited speaker at the International Congress of Mathematicians in Warsaw. Knobloch was the author or co-author of several books and book chapters. His book on ordinary differential equations, co-authored with Franz Kappel, and his book linear control theory, co-authored with Huibert Kwakernaak, became standard textbooks in Germany. Knobloch promoted interdisciplinary cooperation with engineers and international cooperation among mathematicians. For the Oberwolfach workshops over many years he was one of the organizers, with Peter Sagirow, Manfred Thoma, and Huibert Kwakernaak, on the topic of control theory and, with Rolf Reissig, Jean Mawhin, and Klaus Schmitt, on the topic of ordinary differential equations. Knobloch played a key role in organizing the Equadiff conference held in Würzburg from 23 to 28 August in 1982.

… excerpt ends here. Continue reading the full article.

Worked examples

Example 1 — a first encounter with Hans-Wilhelm Knobloch

Start with the simplest possible case. Write down what Hans-Wilhelm Knobloch claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, 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 Hans-Wilhelm Knobloch 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 Hans-Wilhelm Knobloch 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 Hans-Wilhelm Knobloch

In research
Hans-Wilhelm Knobloch appears in astronomy 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 Hans-Wilhelm Knobloch 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
Hans-Wilhelm Knobloch is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1927 births, 2019 deaths, 20th-century German mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Hans-Wilhelm Knobloch 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 Hans-Wilhelm Knobloch in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Hans-Wilhelm Knobloch means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Hans-Wilhelm Knobloch out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Hans-Wilhelm Knobloch in simple terms?

Hans-Wilhelm Knobloch (18 March 1927, in Schmalkalden – 10 July 2019) was a German mathematician, specializing in dynamical systems and control theory. Although the field of mathematical systems and control theory was already well-established in several other countries, Hans-Wilhelm Knobloch and Di…

Why does Hans-Wilhelm Knobloch matter?

Because it connects several astronomy 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 Hans-Wilhelm Knobloch?

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 Hans-Wilhelm Knobloch.

Tags

  • 1927 births
  • 2019 deaths
  • 20th-century German mathematicians
  • 21st-century German mathematicians
  • Academic staff of Technische Universität Berlin
  • Academic staff of the University of Würzburg
  • Control theorists
  • Dynamical systems theorists
  • Humboldt University of Berlin alumni
  • People from Schmalkalden
  • University of Greifswald alumni

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