Mathematics and the ImaginationAnyone who gambles, plays cards, loves puzzles, or simply seeks an intellectual challenge will love this amusing and thought-provoking book. With wit and clarity, the authors deftly progress from simple arithmetic to calculus and non-Euclidean geometry. "Charming and exciting." — Saturday Review of Literature. Includes 169 figures. |
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algebraic equation analytical geometry angle arithmetic axioms calculus Cantor cardinality century circle circumference concept congruent considered correspondence cube curvature curve cycloid decimal defined definition derivative determined difficulty distance drawing elements ematics equal Euclid Euclidean Euclidean geometry expressed fields fifth figure find finite finite number first fit five four-dimensional fourth dimension function googol googolplex idea imagination impossible infinite class infinite number infinite series integers Josephus problem Leibniz length limit logarithms logical manifold mathe mathematician mathematics matics means measure method motion non-Euclidean non-Euclidean geometry one-to-one paradoxes perpendicular physical plane polygons position possible postulates probability problem proof propositions pseudosphere puzzle quart jar rate of change real numbers rectangle ruler and compass satisfied scientific sides simple simply connected solution solved space specific sphere square root squaring the circle straight line surface symbols tangent theorem theory tion topology tractrix transcendental transfinite triangle variable word zero