mathematics

George Herbert Swift Jr

George Herbert Swift Jr 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 George Herbert Swift Jr rather than just read about it. In short: George Herbert Swift Jr (July 1, 1926, Minot, ND – September 23, 2014) was an American mathematician and computer scientist. Swift attended the University of Oregon, earning a master's degree in mathematics in 1951, before attending the University of Washington, where he earned a PhD in mathematics in 1954 under Edwin Hewitt on irregular Borel measure.

Key takeaways

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

Reference excerpt

George Herbert Swift Jr (July 1, 1926, Minot, ND – September 23, 2014) was an American mathematician and computer scientist. Swift attended the University of Oregon, earning a master's degree in mathematics in 1951, before attending the University of Washington, where he earned a PhD in mathematics in 1954 under Edwin Hewitt on irregular Borel measure. He began at Duke University in 1954 as an instructor before being IBM hired him in 1956; he would spend 32 years with the company, where he contributed to the development of the IBM 5100. He retired in 1988 from IBM to teach full-time in mathematics as well as computer science.

See also Borel measure Borel regular measure

Publications Swift, George (1955), "Irregular Borel measures on topological spaces", Duke Mathematical Journal, 22 (3): 427–433, doi:10.1215/s0012-7094-55-02246-8, MR 0072202 Swift, George (1956), "n-valued irregular Borel measures", Duke Mathematical Journal, 23 (3): 393–407, doi:10.1215/s0012-7094-56-02336-5, MR 0080137

References

External links George Herbert Swift Jr at the Mathematics Genealogy Project

Illustrations

George Herbert Swift Jr: Photo of George Herb Swift Jr in 1954 — Photo of George Herb Swift Jr in 1954

George Herbert Swift Jr: Photo of George Herb Swift Jr in 2012 — Photo of George Herb Swift Jr in 2012

Worked examples

Example 1 — a first encounter with George Herbert Swift Jr

Start with the simplest possible case. Write down what George Herbert Swift Jr 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 George Herbert Swift Jr 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 George Herbert Swift Jr 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 George Herbert Swift Jr

In research: George Herbert Swift Jr 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 George Herbert Swift Jr 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: George Herbert Swift Jr is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1926 births, 2014 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for George Herbert Swift Jr 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 George Herbert Swift Jr in 20 minutes

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

Frequently asked questions

What is George Herbert Swift Jr in simple terms?

Why does George Herbert Swift Jr 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 George Herbert Swift Jr?

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 George Herbert Swift Jr.