mathematics

Stefan Müller (mathematician)

Stefan Müller (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 Stefan Müller (mathematician) rather than just read about it. In short: Stefan Müller (born 15 March 1962 in Wuppertal) is a German mathematician and currently a professor at the University of Bonn. He has been one of the founding directors of the Max Planck Institute for Mathematics in the Sciences in 1996 and was acting there until 2008.

Key takeaways

Stefan Müller (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 Stefan Müller (mathematician) to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Stefan Müller (mathematician) from memory before moving on to harder problems.

Reference excerpt

Stefan Müller (born 15 March 1962 in Wuppertal) is a German mathematician and currently a professor at the University of Bonn. He has been one of the founding directors of the Max Planck Institute for Mathematics in the Sciences in 1996 and was acting there until 2008. He is well known for his research in analysis and the calculus of variations. He is interested in the application of mathematical methods in the theory continuum mechanics, especially material science and problems involving microstructures.

Awards 1992 - EMS Prize 1993 – Max-Planck-Forschungspreis, together Vladimir Sverák (Charles University in Prague) 1998 — Invited Speaker of the International Congress of Mathematicians in Berlin 1999 – CICIAM Collatz Prize ICIAM Edinburgh 2000 – Gottfried Wilhelm Leibniz Prize 2006 – Keith Medal of the Royal Society of Edinburgh and Gauss Lectureship of the German Mathematical Society. 2013 Heinz Gumin Prize for Mathematics

Publications Microstructures, phase transitions and geometry. In: Balog (Hrsg.): Proceedings European Congress of Mathematicians. volume 2, Birkhäuser 1998, S.92. with Sverak: Unexpected solutions of first and second order partial differential equations. International Congress of Mathematicians, 1998, Bd.II, S.691, Documenta Mathematica. with Bethuel, Huisken, Steffen: Variational models for microstructure and phase transitions. In: Hildebrandt, Struwe: Calculus of Variations and geometric evolution problems. Lecture Notes in Mathematics, volume 1713, 1999, S.85-210. Mathematik und intelligente Materialien. In: Aigner, Behrends (Hrsg.): Alles Mathematik. Vieweg 2002. Mathematik ist überall. DMV-Mitteilungen, Januar 1998. Mit Conti, DeSimone, Dolzmann, F. Otto: Multiscale modeling of materials – the role of analysis. In: Kirkilionis, Krömker, Rannacher, Tomi (Herausgeber): Trends in Nonlinear Analysis. Springer 2003, S.375-408. G. Friesecke, R. D. James, S. Müller: A hierarchy of plate models derived from nonlinear elasticity by Gamma-convergence. Arch. Rat. Mech. Anal., volume 180, 2006, S. 183-236. C. De Lellis, S. Müller: Sharp rigidity estimates for nearly umbilical surfaces. Journal of Differential Geometry volume 69, 2005, S. 75-110. S. Müller, V. Sverak: Convex integration for Lipschitz mappings and counterexamples to regularity. Ann. Math., volume 157, 2003, 715-742. G. Friesecke, R. D. James, S. Müller: A theorem on geometric rigidity and the derivation of nonlinear plate theory from three dimensional elasticity. Comm. Pure Appl. Math., volume 55, 2002, 1461-1506. A. De Simone, R. V. Kohn, S. Müller, F. Otto: A reduced theory for thin-film micromagnetics. Comm. Pure Appl. Math., volume 55, 2002, 1408-1460.

References

External links Müllers Homepage at MPI MIS

Illustrations

Worked examples

Example 1 — a first encounter with Stefan Müller (mathematician)

Start with the simplest possible case. Write down what Stefan Müller (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 Stefan Müller (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 Stefan Müller (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 Stefan Müller (mathematician)

In research: Stefan Müller (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 Stefan Müller (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: Stefan Müller (mathematician) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1962 births, 20th-century German mathematicians, 21st-century German mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Stefan Müller (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.

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How to study Stefan Müller (mathematician) in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Stefan Müller (mathematician) means in your own words.
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Work through the three examples above with pen and paper.
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Frequently asked questions

What is Stefan Müller (mathematician) in simple terms?

Why does Stefan Müller (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 Stefan Müller (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 Stefan Müller (mathematician).