mathematics

Werner Hildenbrand

Werner Hildenbrand 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 Werner Hildenbrand rather than just read about it. In short: Werner Hildenbrand (born 25 May 1936 in Göttingen) is a German economist and mathematician. He was educated at the University of Heidelberg, where he received his Diplom in mathematics, applied mathematics and physics in 1961.

Key takeaways

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

Reference excerpt

Werner Hildenbrand (born 25 May 1936 in Göttingen) is a German economist and mathematician. He was educated at the University of Heidelberg, where he received his Diplom in mathematics, applied mathematics and physics in 1961. He continued his education at the University of Heidelberg and received his Ph.D. in mathematics in 1964 and his habilitation in economics and mathematics in 1968. From 1969 to 2001, he was a professor of economics at the University of Bonn. He has held various visiting positions at, among others, the University of California, Berkeley and the University of Louvain. His research has focused on general equilibrium theory, and in particular on the existence and properties of the core of an economy.

Books Core and Equilibria of a Large Economy, Princeton University Press, 1974. Introduction to Equilibrium Analysis, with Alan Kirman, North-Holland, 1976. Equilibrium Analysis, with Alan Kirman, North-Holland, 1988. Market Demand: Theory and Empirical Evidence, Princeton University Press, 1994.

External links

Werner Hildenbrand at the Mathematics Genealogy Project Werner Hildenbrand's personal homepage at University of Bonn

References

Illustrations

Worked examples

Example 1 — a first encounter with Werner Hildenbrand

Start with the simplest possible case. Write down what Werner Hildenbrand 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 Werner Hildenbrand 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 Werner Hildenbrand 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 Werner Hildenbrand

In research: Werner Hildenbrand 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 Werner Hildenbrand 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: Werner Hildenbrand is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1936 births, 20th-century German economists, 20th-century German statisticians, so understanding it makes those chapters shorter.
In everyday life: Look for Werner Hildenbrand 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 Werner Hildenbrand in 20 minutes

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

Frequently asked questions

What is Werner Hildenbrand in simple terms?

Why does Werner Hildenbrand 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 Werner Hildenbrand?

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 Werner Hildenbrand.