mathematics

Richard Eliot Chamberlin

Richard Eliot Chamberlin 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 Richard Eliot Chamberlin rather than just read about it. In short: Richard Eliot Chamberlin (March 20, 1923 – March 14, 1994) was an American mathematician, specializing in geometric topology. Biography Chamberlin was born on March 20, 1923, in Cambridge, Massachusetts.

Key takeaways

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

Reference excerpt

Richard Eliot Chamberlin (March 20, 1923 – March 14, 1994) was an American mathematician, specializing in geometric topology.

Biography Chamberlin was born on March 20, 1923, in Cambridge, Massachusetts. His father was Ralph Vary Chamberlin. Eliot Chamberlin attended East High School in Salt Lake City. He received his bachelor's degree from the University of Utah. In the early 1940s, he was a teaching fellow in physics at the University of Utah and then the Massachusetts Institute of Technology. After serving as an instructor of physics at Northeastern University, he served two years in the United States Navy during World War II. After discharge from the Navy, he entered graduate school in mathematics at Harvard University, and received his Ph.D. in 1950 with thesis supervisor Hassler Whitney. Chamberlin joined the faculty of the mathematics department at the University of Utah in 1949 and retired there as professor emeritus on July 1, 1988. Chamberlin gave an invited address at the International Congress of Mathematicians in 1950 in Cambridge, Massachusetts.

Selected publications Chamberlin, Richard Eliot; Wolfe, Jr., James Harold (1953). "Multiplicative homomorphisms of matrices". Proceedings of the American Mathematical Society. 4 (1): 37–42. doi:10.2307/2032198. JSTOR 2032198. MR 0052382. Chamberlin, Richard Eliot; Wolfe, Jr., James Harold (1954). "Note on a converse of Lucas's theorem". Proceedings of the American Mathematical Society. 5 (2): 203–205. doi:10.2307/2032224. JSTOR 2032224. MR 0061207. Chamberlin, Richard Eliot (1959). "A class of unknotted curves in 3-space". Proceedings of the American Mathematical Society. 10 (1): 149–157. doi:10.2307/2032904. JSTOR 2032904. MR 0100270. Chamberlin, Richard Eliot; Case, James Hughson (1960). "Characterizations of tree-like continua". Pacific Journal of Mathematics. 10 (1): 73–84. doi:10.2140/pjm.1960.10.73. MR 0111000.

References

Worked examples

Example 1 — a first encounter with Richard Eliot Chamberlin

Start with the simplest possible case. Write down what Richard Eliot Chamberlin 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 Richard Eliot Chamberlin 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 Richard Eliot Chamberlin 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 Richard Eliot Chamberlin

In research: Richard Eliot Chamberlin 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 Richard Eliot Chamberlin 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: Richard Eliot Chamberlin is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1923 births, 1994 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Richard Eliot Chamberlin 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 Richard Eliot Chamberlin in 20 minutes

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

Frequently asked questions

What is Richard Eliot Chamberlin in simple terms?

Richard Eliot Chamberlin (March 20, 1923 – March 14, 1994) was an American mathematician, specializing in geometric topology. Biography Chamberlin was born on March 20, 1923, in Cambridge, Massachusetts.

Why does Richard Eliot Chamberlin 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 Richard Eliot Chamberlin?

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 Richard Eliot Chamberlin.