mathematics

Magnhild Lien

Magnhild Lien 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 Magnhild Lien rather than just read about it. In short: Magnhild Lien is a Norwegian mathematician specializing in knot theory. She is a professor emeritus of mathematics at California State University, Northridge, and the former executive director of the Association for Women in Mathematics.

Key takeaways

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

Reference excerpt

Magnhild Lien is a Norwegian mathematician specializing in knot theory. She is a professor emeritus of mathematics at California State University, Northridge, and the former executive director of the Association for Women in Mathematics.

Education and career Lien was born on the southern Norwegian island of Tromøya, now located in Arendal Municipality, where she grew up as the youngest of six children and the only girl in her family. She earned a bachelor's degree from McGill University in 1979, and completed her Ph.D. in 1984 from the University of Iowa. Her dissertation, Construction of High Dimensional Knot Groups from Classical Knot Groups, was supervised by Jonathan Kalman Simon. She joined the faculty at California State University, Northridge in 1987, and served as department chair of mathematics there from 1998 to 2006. She was executive director of the Association for Women in Mathematics from 2012 to 2018.

Contributions As well as publishing her own mathematical research on knot theory, Lien has written about women in mathematics in collaboration with her husband, sociologist Harvey Rich.

Recognition Lien was included in the 2019 class of fellows of the Association for Women in Mathematics "for extraordinary leadership and service devoted to advancing and supporting women in the mathematical sciences, as AWM executive director and, for a quarter century, as initiator, director, and fundraiser of programs for women".

References

Worked examples

Example 1 — a first encounter with Magnhild Lien

Start with the simplest possible case. Write down what Magnhild Lien 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 Magnhild Lien 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 Magnhild Lien 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 Magnhild Lien

In research: Magnhild Lien 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 Magnhild Lien 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: Magnhild Lien is common in secondary-school and first-year university syllabi. It links to neighbouring topics 20th-century American mathematicians, 20th-century American women mathematicians, 20th-century Norwegian people, so understanding it makes those chapters shorter.
In everyday life: Look for Magnhild Lien 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 Magnhild Lien in 20 minutes

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

Frequently asked questions

What is Magnhild Lien in simple terms?

Why does Magnhild Lien 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 Magnhild Lien?

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 Magnhild Lien.