1. Citáty
  2. Autoři
  3. George Pólya

George Pólya citáty
strana 2

György Pólya byl maďarský matematik.

Narodil se v Budapešti. Jeho původní jméno George Pollák bylo změněno se změnou židovské víry na katolickou.[zdroj?] Zemřel v Palo Alto, v USA.

Zajímala ho různorodá matematická témata, zejména z oblasti kombinatoriky a pravděpodobnosti, induktivní logiky a metodiky. Věnoval se heuristice. Vydal tři knihy o vyučování matematiky. Jeho díla byla přeložena do mnoha jazyků.

✵ 13. prosinec 1887 – 7. září 1985
George Pólya foto
George Pólya: 35 citátů0 lajků

George Pólya: Citáty anglicky

“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.”

Help us translate this quote

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”

Help us translate this quote

George Pólya

Mathematical Methods in Science (1977)

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

Help us translate this quote

George Pólya kniha How to Solve It

Zdroj: 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.”

Help us translate this quote

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.”

Help us translate this quote

George Pólya

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

Podobní autoři

Sándor Márai foto
Sándor Márai4
maďarský spisovatel None
John Forbes Nash foto
John Forbes Nash4
americký matematik None
Imre Kertész foto
Imre Kertész5
maďarský spisovatel, nositel Nobelovy ceny za literaturu None
Robert Aumann foto
Robert Aumann1
izraelsko-americký matematik None
André Maurois foto
André Maurois90
francouzský spisovatel None
Otto František Babler foto
Otto František Babler360
český knihovník a překladatel None
George Santayana foto
George Santayana29
20. století španělsko-americký filozof zabývající se pragma… None
Ludwig Wittgenstein foto
Ludwig Wittgenstein20
rakouský filozof None
Saint-john Perse foto
Saint-john Perse2
francouzský spisovatel, pravé jméno Alexis Léger None
George Orwell foto
George Orwell133
anglický spisovatel a novinář None