Research in mathematics is much more than solving puzzles, but most people will agree that solving puzzles is not just fun: it helps focus the mind and increases one’s armory of techniques for doing mathematics.Mathematical Puzzlesmakes this connection explicit by isolating important mathematical methods, then using them to solve puzzles and prove a theorem.This Revised Edition has been thoroughly edited to correct errors and provide clarifications, and includes some totally different solutions, modified puzzles, and one entirely new puzzle.FeaturesA collection of the worlds best mathematical puzzlesEach chapter features a technique for solving mathematical puzzles, examples, and finally a genuine theorem of mathematics that features that technique in its proofPuzzles that are entertaining, mystifying, paradoxical, and satisfying; they are not just exercises or contest problems.