Mathematics is being lazy. Mathematics is letting the principles do the work for you so that you do not have to do the work for yourself. - George Pólya
" "Mathematics is being lazy. Mathematics is letting the principles do the work for you so that you do not have to do the work for yourself.
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About George Pólya
George Pólya (December 13, 1887 – September 7, 1985) was a Hungarian mathematician and professor of mathematics at ETH Zürich and at Stanford University. His work on heuristics and pedagogy has had substantial and lasting influence on mathematical education, and has also been influential in artificial intelligence.
Biography information from Wikiquote
Also Known As
Native Name:
Pólya György
Alternative Names:
George Polya
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Georg Polya
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Georg Pólya
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The differential equation of the first order
<math>\frac {dy}{dx} = f(x,y)</math>
...prescribes the slope <math>\frac {dy}{dx}</math> at each point of the plane (or at each point of a certain region of the plane we call the field"). ...a differential equation of the first order... can be conceived intuitively as a problem about the steady flow of a river: Being given the direction of the flow at each point, find the streamlines. ...It leaves open the choice between the two possible directions in the line of a given slope. Thus... we should say specifically "direction of an unoriented straight line" and not merely "direction."
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