The Philosophy of Mathematics

abstract according algebraic analytical geometry ancients applications arithmetical auxiliary body calculus of finite calculus of indirect Calculus of Variations cents chapter character 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 figures final finite differences formula func fundamental geom idea imperfection implicit functions important increments indirect functions indispensable infinitely small infinitesimal method integral calculus labours Lagrange Leibnitz limits logical magnitudes manner mathematical analysis maxima and minima method of variations Muslin nature necessarily necessary Newton object obtained ordinary analysis phenomena philosophical point of view possible precise present primitive primitive equations principal problem properties proposed quadratures quantities questions rational rectilinear reduced regarded relation resolution of equations right line rigorously simple solution surfaces tangent theory tion transcendental analysis vols volumes