mathematics

William Boone (mathematician)

William Boone (mathematician) 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 William Boone (mathematician) rather than just read about it. In short: William Werner Boone (16 January 1920 in Cincinnati – 14 September 1983 in Urbana, Illinois) was an American mathematician. He completed his undergrad degree as a part time student at the University of Cincinnati.

Key takeaways

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

Reference excerpt

William Werner Boone (16 January 1920 in Cincinnati – 14 September 1983 in Urbana, Illinois) was an American mathematician. He completed his undergrad degree as a part time student at the University of Cincinnati. Alonzo Church was his Ph.D. advisor at Princeton, and Kurt Gödel was his friend at the Institute for Advanced Study. Pyotr Novikov showed in 1955 that there exists a finitely presented group G such that the word problem for G is undecidable. A different proof was obtained by Boone in a paper published in 1958.

Selected publications W. W. Boone, Decision problems about algebraic and logical systems as a whole and recursively enumerable degrees of unsolvability. 1968 Contributions to Math. Logic (Colloquium, Hannover, 1966), North-Holland, Amsterdam. W. W. Boone, Roger Lyndon, Frank Cannonito, Word Problems: Decision Problem in Group Theory, North-Holland, 1973.

References

Kurt Gödel: Collected Works: Oxford University Press: New York. Editor-in-chief: Solomon Feferman, Volume IV: Correspondence, A–G, ISBN 978-0-19-850073-5. O'Connor, John J.; Robertson, Edmund F., "William Werner Boone", MacTutor History of Mathematics Archive, University of St Andrews William Werner Boone at the Mathematics Genealogy Project

Illustrations

Worked examples

Example 1 — a first encounter with William Boone (mathematician)

Start with the simplest possible case. Write down what William Boone (mathematician) 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 William Boone (mathematician) 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 William Boone (mathematician) 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 William Boone (mathematician)

In research: William Boone (mathematician) 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 William Boone (mathematician) 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: William Boone (mathematician) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1920 births, 1983 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for William Boone (mathematician) 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 William Boone (mathematician) in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what William Boone (mathematician) 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.
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Frequently asked questions

What is William Boone (mathematician) in simple terms?

Why does William Boone (mathematician) 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 William Boone (mathematician)?

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 William Boone (mathematician).