1. Frases
  2. Autores
  3. George Pólya

Frases de George Pólya
página 2

George Pólya fue un matemático que nació en Budapest, Hungría y murió en Palo Alto, EUA.

✵ 13. diciembre 1887 – 7. septiembre 1985
George Pólya Foto
George Pólya: 36   frases 1   Me gusta

George Pólya Frases y Citas

“La elegancia de un teorema es directamente proporcional al número de ideas que vemos e inversamente proporcional al esfuerzo necesario para comprenderlas.”

George Pólya
Esfuerzo

George Pólya: Frases en inglés

“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 libro How to Solve It

Fuente: 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

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

Autores similares

Eugene Wigner Foto
Bertrand Russell Foto
Bertrand Russell 101
filósofo, matemático, lógico y escritor británico
Max Planck Foto
Max Planck 7
físico alemán
Paul Dirac Foto
Paul Dirac 6
Físico teórico
Abdus Salam Foto
Abdus Salam 8
físico teórico de Pakistán
Ludwig Wittgenstein Foto
Ludwig Wittgenstein 44
filósofo nacido en Viena
Jorge Luis Borges Foto
Jorge Luis Borges 404
escritor argentino
Stephen Hawking Foto
Stephen Hawking 43
físico teórico y cosmólogo británico
John Maynard Keynes Foto
John Maynard Keynes 23
economista inglés
Richard Feynman Foto
Richard Feynman 64
físico estadounidense y premio Nobel