mathematics

Michael Benedicks

Michael Benedicks 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 Michael Benedicks rather than just read about it. In short: Michael Benedicks, born 1949, is a Professor of Mathematics at the Royal Institute of Technology (KTH) in Stockholm, Sweden. He received his Ph.D. from the Royal Institute of Technology in 1980.

Key takeaways

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

Reference excerpt

Michael Benedicks, born 1949, is a Professor of Mathematics at the Royal Institute of Technology (KTH) in Stockholm, Sweden. He received his Ph.D. from the Royal Institute of Technology in 1980. His doctoral advisor was Professor Harold S. Shapiro. He was a visiting scholar at the Institute for Advanced Study in the summer of 1989. He became a Professor of Mathematics at the Royal Institute of Technology in 1991. His research interests include dynamic systems. For example, he has studied Hénon maps together with Professor Lennart Carleson. He became a member of the Royal Swedish Academy of Sciences in 2007.

References

External links Prof. Benedicks's website

Worked examples

Example 1 — a first encounter with Michael Benedicks

Start with the simplest possible case. Write down what Michael Benedicks 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 Michael Benedicks 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 Michael Benedicks 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 Michael Benedicks

In research: Michael Benedicks 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 Michael Benedicks 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: Michael Benedicks is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1949 births, Academic staff of the KTH Royal Institute of Technology, European mathematician stubs, so understanding it makes those chapters shorter.
In everyday life: Look for Michael Benedicks 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.

Affiliate

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

How to study Michael Benedicks in 20 minutes

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

Frequently asked questions

What is Michael Benedicks in simple terms?

Michael Benedicks, born 1949, is a Professor of Mathematics at the Royal Institute of Technology (KTH) in Stockholm, Sweden. He received his Ph.D. from the Royal Institute of Technology in 1980.

Why does Michael Benedicks 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 Michael Benedicks?

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 Michael Benedicks.