

“The first rule of discovery is to have brains and good luck. The second rule of discovery is to sit tight and wait till you get a bright idea.”
― How to Solve It: A New Aspect of Mathematical Method
― How to Solve It: A New Aspect of Mathematical Method

“If you can't solve a problem, then there is an easier problem you can solve: find it.”
― Mathematical Discovery on Understanding, Learning, and Teaching Problem Solving, Volume I
― Mathematical Discovery on Understanding, Learning, and Teaching Problem Solving, Volume I

“The elegance of a mathematical theorem is directly proportional to the number of independent ideas one can see in the theorem and inversely proportional to the effort it takes to see them.”
― Mathematical Discovery on Understanding, Learning, and Teaching Problem Solving, Volume I
― Mathematical Discovery on Understanding, Learning, and Teaching Problem Solving, Volume I

“Mathematics is the cheapest science. Unlike physics or chemistry, it does not require any expensive equipment. All one needs for mathematics is a pencil and paper.”
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“If you cannot solve the proposed problem...try to solve first some related problem.”
― How to Solve It: A New Aspect of Mathematical Method
― How to Solve It: A New Aspect of Mathematical Method
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