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How to solve it: a new aspect of mathematical method

This book offers a systematic approach to problem-solving, emphasizing the importance of understanding the nature of problems and applying appropriate mathematical techniques. It provides a framework for analyzing and solving mathematical problems effectively. more

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George Pólya

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“But hope is not about what we expect. It is an embrace of the essential unknowability of the world, of the breaks with the present, the surprises. Or perhaps studying the record more carefully leads us to expect miracles - not when and where we expect them, but to expect to be astonished, to expect that we don't know. And this is grounds to act.”

“If our sides were unequal our angles might be unequal. Instead of its being sufficient to feel, or estimate by sight, a single angle in order to determine the form of an individual, it would be necessary to ascertain each angle by the experiment of Feeling. But life would be too short for such a tedious groping. The whole science and art of Sight Recognition would at once perish; Feeling, so far as it is an art, would not long survive; intercourse would become perilous or impossible; there would be an end to all confidence, all forethought; no one would be safe in making the most simple social arrangements; in a word, civilization would relapse into barbarism.”