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Michael F. Singer

Michael F. Singer 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 Michael F. Singer rather than just read about it. In short: Michael F. Singer (born 25 February 1950 in New York City) is an American mathematician.

Key takeaways

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

Reference excerpt

Michael F. Singer (born 25 February 1950 in New York City) is an American mathematician. Singer graduated from New York University with a bachelor's degree in 1970 and from the University of California, Berkeley with a master's degree in 1972 and a doctorate in 1974 under the supervision of Maxwell Rosenlicht with thesis Functions Satisfying Elementary Relations. From 1974 to 1976 Singer was an instructor at the State University of New York at Stony Brook (SUNY). At North Carolina State University he was from 1974 to 1976 an assistant professor, from 1976 to 1982 an associate professor, and from 1986 to 2016 a full professor, retiring as professor emeritus in 2016. For the academic year 1978–1979 and in spring 1985 Singer was at the Institute for Advanced Study. In 2001/02 he was Deputy Director and 2002/03 Acting Director of MSRI. He was a visiting professor at the University of Bonn, the University of Rennes, the University of Strasbourg, and the University of Linz, and a visiting scholar at the Isaac Newton Institute. In 2012 he was elected a Fellow of the American Mathematical Society. His research deals with differential algebraic equation and algorithmic algebra.

Selected publications with Marius van der Put: Galois theory of linear differential equations, Grundlehren der mathematischen Wissenschaften, Springer Verlag, 2003 with Marius van der Put: Galois Theory of Difference Equations, Lecture Notes in Mathematics 1666, Springer 1997 as editor: Differential Equations and Computer Algebra, Academic Press 1991

References

External links Homepage Books and Papers by Michael F. Singer (with online preprints)

Worked examples

Example 1 — a first encounter with Michael F. Singer

Start with the simplest possible case. Write down what Michael F. Singer 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 Michael F. Singer 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 Michael F. Singer 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 Michael F. Singer

In research
Michael F. Singer 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 Michael F. Singer 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
Michael F. Singer is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1950 births, 20th-century American mathematicians, 21st-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Michael F. Singer 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 Michael F. Singer in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Michael F. Singer means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Michael F. Singer out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Michael F. Singer in simple terms?

Michael F. Singer (born 25 February 1950 in New York City) is an American mathematician.

Why does Michael F. Singer 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 Michael F. Singer?

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 Michael F. Singer.

Tags

  • 1950 births
  • 20th-century American mathematicians
  • 21st-century American mathematicians
  • Fellows of the American Mathematical Society
  • Living people
  • New York University alumni
  • North Carolina State University faculty
  • University of California, Berkeley faculty

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