How to Solve It: A New Aspect of Mathematical MethodA perennial bestseller by eminent mathematician G. Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out—from building a bridge to winning a game of anagrams. Generations of readers have relished Polya’s deft—indeed, brilliant—instructions on stripping away irrelevancies and going straight to the heart of the problem. |
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altitude analogous problem analogy angle Archimedes argument auxiliary element auxiliary problem base better center of gravity conclusion condition connection consider construction defined definition derive desirable diagonal difierent diflicult Draw a figure equation essential Euclid examine example fact familiar final finally first fixed foregoing formerly solved problem formula frustum geometry given guess hypothesis idea important indirect proof induction introduce invention know a related length look MATHEMATICAL INDUCTION mathematical problems means method numbers object obtain octahedron original problem Pappus parabola parallelepiped parallelogram perimeter plane geometry plausible Polya present prime prob problem to find problem to prove procedure profit progress proposed problem questions and suggestions reductio ad absurdum related problem restate result right triangle satisfied side signs solid geometry solution sort sphere square step straight line student teacher tetrahedron theorem tion try to think understand vertex vertices wish word
