Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences: Volume One

abbacus algebraic algorithm analytic applied Arabic Archimedes Archive for History arithmetic astronomy Augustin Louis Cauchy axioms Bernoulli BIBLIOGRAPHY binomial theorem calculus of variations Cambridge Cantor Cauchy circle coefficients complex numbers computation concept continuous continuous functions convergence curve d’Alembert David Hilbert defined derived determined developed differential equations domain elliptic functions Euclid Euler example expressed finite first-order formula Fourier series fractions fundamental Gauss geometry given Grattan-Guinness Greek harmonic analysis Hilbert History of Exact idea important infinite infinitesimal integral equations introduced Karl Weierstrass Lagrange later Leibniz Leonhard Euler linear logarithms logic mathematicians mathematics matrix mechanics medieval method modern motion multiplication Newton nineteenth century notation number theory operations PDEs philosophical polynomial potential theory problem properties published quadratures quantities rational real numbers representation Riemann roots set theory solution solving space surface symbols tangent theorem tradition transformation translation treatise trigonometric University Press values variables Weierstrass