mathematics

Ina Kersten

Ina Kersten 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 Ina Kersten rather than just read about it. In short: Ina Kersten (born 1946) is a German mathematician and former president of the German Mathematical Society. Her research concerns abstract algebra including the theory of field extensions and algebraic groups.

Key takeaways

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

Reference excerpt

Ina Kersten (born 1946) is a German mathematician and former president of the German Mathematical Society. Her research concerns abstract algebra including the theory of field extensions and algebraic groups. She is a professor emerita at the University of Göttingen. Kersten was born in Hamburg, and earned her Ph.D. at the University of Hamburg in 1977. Her dissertation, p-Algebren über semilokalen Ringen, was supervised by Ernst Witt. She completed a habilitation at the University of Regensburg in 1983. Kersten was president of the German Mathematical Society from 1995 to 1997, which meant she was the first woman to head the society. Under her leadership, the society founded the journal Documenta Mathematica.

References

External links Home page Archived 2021-10-27 at the Wayback Machine

Illustrations

Worked examples

Example 1 — a first encounter with Ina Kersten

Start with the simplest possible case. Write down what Ina Kersten 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 Ina Kersten 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 Ina Kersten 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 Ina Kersten

In research: Ina Kersten 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 Ina Kersten 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: Ina Kersten is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1946 births, 20th-century German mathematicians, Academic staff of the University of Göttingen, so understanding it makes those chapters shorter.
In everyday life: Look for Ina Kersten 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 Ina Kersten in 20 minutes

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

Frequently asked questions

What is Ina Kersten in simple terms?

Why does Ina Kersten 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 Ina Kersten?

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 Ina Kersten.