The Art and Craft of Problem SolvingThis text on mathematical problem solving provides a comprehensive outline of "problemsolving-ology," concentrating on strategy and tactics. It discusses a number of standard mathematical subjects such as combinatorics and calculus from a problem solver's perspective. |
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a₁ algebra algorithm AM-GM inequality assume cards checker circle coefficients color complex numbers compute conjecture Consider contains converge count crux move define denote easy edges equal equation Eulerian path exactly example extreme principle factor Fermat's little theorem Find finite formula function geometric series graph greatest common divisor ideas inductive hypothesis inequality infinite investigation lattice points least element locker look mathematical mean value theorem modulo multiple non-negative notation Notice number theory odd number pairs parity partition Pascal's Triangle path penultimate step perfect square permutations pigeonhole principle pigeons plane polygon polynomial positive integer possible problem solving Problems and Exercises proof prove Putnam real numbers rectangle rooks roots of unity sequence Show simple Solution solver strategy subsets symmetry tactic theorem tool triangle true USAMO variables vertices words zero