mathematics

Harold Levine

Harold Levine 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 Harold Levine rather than just read about it. In short: Harold I. Levine was an American mathematician who was professor at Stanford University.

Key takeaways

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

Reference excerpt

Harold I. Levine was an American mathematician who was professor at Stanford University. He specialized in wave motion and optics. Levine was born in New York City. After he graduated from the City College of New York, he earned a Ph.D. in Physics from Cornell University. In 1954, he was awarded a Guggenheim fellowship. Levine died on December 10, 2017, at the age of 95.

References

External links Harold Levine at the Mathematics Genealogy Project

Worked examples

Example 1 — a first encounter with Harold Levine

Start with the simplest possible case. Write down what Harold Levine 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 Harold Levine 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 Harold Levine 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 Harold Levine

In research: Harold Levine 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 Harold Levine 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: Harold Levine is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1922 births, 2017 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Harold Levine 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 Harold Levine in 20 minutes

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

Frequently asked questions

What is Harold Levine in simple terms?

Harold I. Levine was an American mathematician who was professor at Stanford University.

Why does Harold Levine 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 Harold Levine?

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 Harold Levine.