The Philosophy of MathematicsHarper & brothers, 1851 - 260 pagine |
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abstract according algebraic analytical geometry ancients applications arithmetical auxiliary calculus of indirect Calculus of Variations chapter character comparison complete conceive conception concrete concrete mathematics consideration considered consists corresponding cubatures culus curve deduce definition Descartes determined differential calculus differential equations difficulty direct directly distinct elementary employed equa eral essentially evidently expression extension figures finite finite differences formula func fundamental geom give rise idea important indirect functions indispensable infinitely small infinitesimal method integral calculus Julius Cæsar labours Lagrange Leibnitz logical magnitudes manner mathematical analysis maxima and minima measurement Muslin nature necessarily necessary obtained ordinary analysis perfect phenomena philosophical plane point of view possible precise present primitive primitive equations principal problem proposed quadratures quantities rational reduced regarded relation resolution of equations right line rigorously Sheep extra simple solution sufficient surfaces susceptible system of co-ordinates theory tion transcendental analysis trigonometrical variables vols volumes
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