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Marvin Greenberg

Marvin Greenberg 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 Marvin Greenberg rather than just read about it. In short: Marvin Jay Greenberg (December 22, 1935 – December 12, 2017) was an American mathematician. Education Greenberg studied at Columbia University where he received his bachelor's degree in 1955 (he was a Ford Scholar as an undergraduate) and received his doctorate 1959 from Princeton University under Serge Lang with the thesis Pro-Algebraic Structure on the Rational Subgroup of a P-Adic Abelian Variety.

Marvin Greenberg — main illustration
Marvin Greenberg — illustration

Key takeaways

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

Reference excerpt

Marvin Jay Greenberg (December 22, 1935 – December 12, 2017) was an American mathematician.

Education Greenberg studied at Columbia University where he received his bachelor's degree in 1955 (he was a Ford Scholar as an undergraduate) and received his doctorate 1959 from Princeton University under Serge Lang with the thesis Pro-Algebraic Structure on the Rational Subgroup of a P-Adic Abelian Variety.

Career From 1955 Greenberg was an assistant at Princeton, from 1958 an assistant at the University of Chicago and in 1958 and 1959, an instructor at Rutgers University. From 1959 to 1964 he was an assistant professor at the University of California, Berkeley, two years of which time he spent on National Science Foundation postdoctoral fellowships at Harvard University and the Institut des Hautes Études Scientifiques in Paris. From 1965 to 1967 he was an associate professor at Northeastern University and from 1967 he worked as an associate professor, and later full professor, at the University of California, Santa Cruz. He retired early in 1992 and moved back to Berkeley. He was known for his book on non-Euclidean geometry (1st edition, 1974; 4th edition, 2008) and his book on algebraic topology (1st edition, 1967, published with the title Lectures on Algebraic Topology; revised edition published, with John R. Harper as co-author, in 1981 with the title Algebraic Topology: A First Course). Greenberg was also a passionate golfer and a founding member of the Shivas Irons Society.

References

External links Marvin Greenberg's faculty page at the University of California, Santa Cruz Marvin Greenberg at the Mathematics Genealogy Project

Illustrations

Marvin Greenberg: Marvin Greenberg at Berkeley in 1975
Marvin Greenberg at Berkeley in 1975

Worked examples

Example 1 — a first encounter with Marvin Greenberg

Start with the simplest possible case. Write down what Marvin Greenberg 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 Marvin Greenberg 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 Marvin Greenberg 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 Marvin Greenberg

In research
Marvin Greenberg 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 Marvin Greenberg 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
Marvin Greenberg is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1935 births, 2017 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Marvin Greenberg 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 Marvin Greenberg in 20 minutes

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

Frequently asked questions

What is Marvin Greenberg in simple terms?

Marvin Jay Greenberg (December 22, 1935 – December 12, 2017) was an American mathematician. Education Greenberg studied at Columbia University where he received his bachelor's degree in 1955 (he was a Ford Scholar as an undergraduate) and received his doctorate 1959 from Princeton University under…

Why does Marvin Greenberg 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 Marvin Greenberg?

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 Marvin Greenberg.

Tags

  • 1935 births
  • 2017 deaths
  • 20th-century American mathematicians
  • 20th-century American translators
  • 21st-century American mathematicians
  • American topologists
  • Columbia University alumni
  • French–English translators
  • Mathematicians from New York (state)
  • Mathematicians from New York City
  • Northeastern University faculty
  • Princeton University alumni

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