mathematics

Ruth I. Michler

Ruth I. Michler 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 Ruth I. Michler rather than just read about it. In short: Ruth Ingrid Michler (March 8, 1967 to November 1, 2000) was an American-born mathematician of German descent who lived and worked in the United States. She earned her Ph.D. in Mathematics from the University of California, Berkeley, and she was a tenured associate professor at the University of North Texas.

Key takeaways

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

Reference excerpt

Ruth Ingrid Michler (March 8, 1967 to November 1, 2000) was an American-born mathematician of German descent who lived and worked in the United States. She earned her Ph.D. in Mathematics from the University of California, Berkeley, and she was a tenured associate professor at the University of North Texas. She died at the age of 33 while visiting Northeastern University, after which at least three memorial conferences were held in her honor, and the Ruth I. Michler Memorial Prize was established in her memory.

Early years Michler was the daughter of German mathematician Gerhard O. Michler and was born in Ithaca, New York while her family was visiting Cornell University from Germany. She grew up in Germany, living in Tübingen, Giessen, and Essen. She completed her undergraduate studies in 1988 at the University of Oxford, graduating summa cum laude.

Doctoral studies and research Michler earned her Ph.D. in mathematics in 1993 from the University of California, Berkeley. Her dissertation is titled "Hodge components of cyclic homology of affine hypersurfaces." Her advisors were Mariusz Wodzicki and Arthur Ogus. She spent the 1993–1994 academic year as a postdoc at Queen's University working with Leslie Roberts. In 1994, she joined the tenure-track faculty at the University of North Texas where she earned tenure in 2000.

Memorial conferences and prize Michler was killed in an accident in Boston on November 1, 2000, when she was struck by a construction vehicle while on her bicycle. Several conferences were organized in her honor. Two conferences resulted in a volume of papers dedicated to her memory In 2007 the Association for Women in Mathematics inaugurated the Ruth I. Michler Memorial Prize which is "awarded annually to a woman recently promoted to Associate Professor or an equivalent position in the mathematical sciences".

References

Worked examples

Example 1 — a first encounter with Ruth I. Michler

Start with the simplest possible case. Write down what Ruth I. Michler 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 Ruth I. Michler 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 Ruth I. Michler 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 Ruth I. Michler

In research: Ruth I. Michler 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 Ruth I. Michler 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: Ruth I. Michler is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1967 births, 2000 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Ruth I. Michler 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 Ruth I. Michler in 20 minutes

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

Frequently asked questions

What is Ruth I. Michler in simple terms?

Why does Ruth I. Michler 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 Ruth I. Michler?

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 Ruth I. Michler.