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Harry Pollard (mathematician)

Harry Pollard (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 Harry Pollard (mathematician) rather than just read about it. In short: Harry Pollard (28 February 1919 – November 20, 1985) was an American mathematician. He received his PhD from Harvard University in 1942 under the supervision of David Widder.

Key takeaways

  • Harry Pollard (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 Harry Pollard (mathematician) to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Harry Pollard (mathematician) from memory before moving on to harder problems.

Reference excerpt

Harry Pollard (28 February 1919 – November 20, 1985) was an American mathematician. He received his PhD from Harvard University in 1942 under the supervision of David Widder. He then taught at Cornell University, and was professor of mathematics at Purdue University from 1961 until his death in 1985. He is known for his work on celestial mechanics, orthogonal polynomials and the n-body problem as well as for the several textbooks he authored or co-authored. In the theory of Orthogonal polynomials, Pollard solved a conjecture of Antoni Zygmund, establishing mean convergence of the partial sums in L p {\displaystyle L^{p}} norms for the Legendre polynomials and Jacobi polynomials in a series of three papers in the Transactions of the American Mathematical Society. The first of these papers deals with the fundamental case of Legendre polynomials. The end point case in Pollard's theorem was established by Sagun Chanillo.

Books Pollard, Harry; Diamond, Harold G. (1975), The Theory of Algebraic Numbers, Carus Mathematical Monographs, vol. 9 (2nd ed.), MAA. Originally published 1950. 3rd edition, 1998 Dover reprint. Pollard, Harry (1972), Applied Mathematics: An Introduction, Addison-Wesley. Pollard, Harry (1976), Celestial Mechanics, Carus Mathematical Monographs, vol. 18, MAA, ISBN 0-88385-019-2 Tenenbaum, Morris; Pollard, Harry (1985), Ordinary Differential Equations, Dover, ISBN 0-486-64940-7.

References

Worked examples

Example 1 — a first encounter with Harry Pollard (mathematician)

Start with the simplest possible case. Write down what Harry Pollard (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 Harry Pollard (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 Harry Pollard (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 Harry Pollard (mathematician)

In research
Harry Pollard (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 Harry Pollard (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
Harry Pollard (mathematician) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1919 births, 1985 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Harry Pollard (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 Harry Pollard (mathematician) in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Harry Pollard (mathematician) means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Harry Pollard (mathematician) out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Harry Pollard (mathematician) in simple terms?

Harry Pollard (28 February 1919 – November 20, 1985) was an American mathematician. He received his PhD from Harvard University in 1942 under the supervision of David Widder.

Why does Harry Pollard (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 Harry Pollard (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 Harry Pollard (mathematician).

Tags

  • 1919 births
  • 1985 deaths
  • 20th-century American mathematicians
  • American mathematician stubs
  • American textbook writers
  • Cornell University faculty
  • Harvard Graduate School of Arts and Sciences alumni
  • Purdue University faculty

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