A Treatise on the Calculus of Finite Differences

Nature of the calculus of finite differences, Direct theorems of finite differences, On interpolation and mechanical quadrature, Finite integration, and the summation of series, The approximate summation of series, Bernoulli's numbers, and factorial coefficients, Convergency and divergency of series, Exact Theorems, Difference and functional equations, Difference-equations of the first order, General theory of the solutions of difference and differential equations of the first order, Linear difference-equations with constant coefficients, Miscellaneous propositions and equations simultaneous equations, Linear Equations with variable coefficients symbolical and general methods, Mixed and partial difference-equations, Of the calculus of functios, Geometrical applications