A Treatise on the Calculus of Finite Differences

A³u algebraical analogous apply approximate arbitrary constant assume Au₂ B₁ Bernoulli's numbers C₁ C₂ Calculus of Finite CHAPTER complete primitive condition corresponding Crelle curve deduce degree denoted determine difference-equation Differential Calculus differential coefficients differential equation divergent series dx² dy dx equa equal expansion expression factor Finite Differences formula functional equation given equation gives Grunert Hence independent variable indirect integral infinite Infinitesimal Calculus integral function Lagrange's formula limits linear difference-equation linear equation method notation obtain operation ordinates P₁ periodical function quantity rational and integral represented result roots satisfied Schlömilch second member shew singular solution solving substituting successive differences successive values summation supposed symbol Taylor's Theorem theorem tion u₁ u₂ unity Ux+1 Ux+2 V₁ v₂ Vx+1 whence Их