mathematics

Michael Boardman

Michael Boardman 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 Boardman rather than just read about it. In short: John Michael Boardman (13 February 1938 – 18 March 2021) was a mathematician whose speciality was algebraic and differential topology. He was affiliated with the University of Cambridge, England and the Johns Hopkins University in Baltimore, Maryland.

Key takeaways

Michael Boardman 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 Boardman to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Michael Boardman from memory before moving on to harder problems.

Reference excerpt

John Michael Boardman (13 February 1938 – 18 March 2021) was a mathematician whose speciality was algebraic and differential topology. He was affiliated with the University of Cambridge, England and the Johns Hopkins University in Baltimore, Maryland. Boardman was most widely known for his construction of the first rigorously correct model of the homotopy category of spectra. He received his PhD from the University of Cambridge in 1964. His thesis advisor was C. T. C. Wall. In 2012 he became a fellow of the American Mathematical Society. He died on 18 March 2021.

Selected publications Boardman, John M. (1967). "Singularities of differentiable maps". Publications Mathématiques de l'IHÉS. 33: 21–57. doi:10.1007/BF02684585. MR 0231390. S2CID 55773382. Boardman, John Michael (1999). "Conditionally convergent spectral sequences". Homotopy invariant algebraic structures (Baltimore, MD, 1998). Contemporary Mathematics. Vol. 239. Providence, RI: American Mathematical Society. pp. 49–84. doi:10.1090/conm/239/03597. ISBN 978-0-8218-1057-6. MR 1718076.

References

Further reading Meyer, Jean-Pierre; Jack Morava, Jack; Wilson, W. Stephen, eds. (1999). Homotopy invariant algebraic structures. A conference in honor of J. Michael Boardman. Contemporary Mathematics. Vol. 239. Providence, RI: American Mathematical Society. doi:10.1090/conm/239. ISBN 978-0-8218-1057-6. MR 1718068.

External links "Home page at Johns Hopkins".

Worked examples

Example 1 — a first encounter with Michael Boardman

Start with the simplest possible case. Write down what Michael Boardman 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 Boardman 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 Boardman 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 Boardman

In research: Michael Boardman 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 Boardman 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 Boardman is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1938 births, 2021 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Michael Boardman 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 Boardman in 20 minutes

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

Frequently asked questions

What is Michael Boardman in simple terms?

Why does Michael Boardman 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 Boardman?

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 Boardman.