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Frases de George Pólya
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George Pólya ; Budapeste, 13 de dezembro de 1887 — Palo Alto, 7 de setembro de 1985 foi um matemático húngaro e professor de matemática de 1914 a 1940 no ETH Zürich na Suíça, e de 1940 a 1953 na Stanford University. Pólya permaneceu como professor emérito de Stanford o resto de sua vida e carreira. Trabalhou com uma variedade de tópicos matemáticos, incluindo séries, teoria dos números, análise matemática, geometria, álgebra, combinatória e probabilidade. Também é notável sua contribuição para a heurística em educação matemática. Wikipedia  

✵ 13. Dezembro 1887 – 7. Setembro 1985
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George Pólya: 35   citações 0   Curtidas

George Pólya: Frases em inglês

“Why should the typical student be interested in those wretched triangles? …He is to be brought to see that without the knowledge of triangles there is not trigonometry; that without trigonometry we put back the clock millennia to Standard Darkness Time and antedate the Greeks.”

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George Pólya

Mathematical Methods in Science (1977)

“\frac {dy}{dx} = \frac {\omega^2x}{g}…The first derivative, the result of the differentiation of y with respect to x, was written by Leibniz in the form
\frac {dy}{dx}…Leibniz's notation …is both extremely useful and dangerous. Today, as the concepts of limit and derivative are sufficiently clarified, the use of the notation… need not be dangerous. Yet, the situation was different in the 150 years between the discovery of calculus by Newton and Leibniz and the time of Cauchy. The derivative \frac {dy}{dx} was considered as the ratio of two "infinitely small quanitites", of the infinitesimals dy and dx. …it greatly facilitated the systematization of the rules of the calculus and gave intuitive meaning to its formulas. Yet this consideration was also obscure… it brought mathematics into disrepute… some of the best minds… such as… Berkeley, complained that calculus is incomprehensible. …\frac {dy}{dx} is the limit of a ratio of dy to dx… Once we have realized this sufficiently clearly, we may, under certain circumstances, treat \frac {dy}{dx} so as if it were a ratio… and multiply by dx to achieve the separation of variables. We get
{dy} = \frac {\omega^2x}{g}xdx”

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George Pólya

Mathematical Methods in Science (1977)

“The best of ideas is hurt by uncritical acceptance and thrives on critical examination.”

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George Pólya livro How to Solve It

Fonte: How to Solve It (1945), p. 100

“If we could be any mathematician in the history of the world (besides ourselves), who would we rather be? …we narrowed the choice down to Euler and Pólya, and finally settled on George Pólya because of the sheer enjoyment of mathematics that he has conveyed by so many examples.”

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George Pólya

Donald E. Knuth, comments at Pólya's 90th birthday celebration quoted by Gerald L. Alexanderson, The Random Walks of George Polya (2000)

“People tell you that wishful thinking is bad. Do not believe it, this is just one of those generally accepted errors.”

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George Pólya

Fonte: Mathematical Discovery (Volume 1), p. 6