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2014 Reprint of 1872 Revised Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. Reprint of revised and improved 1872 edition. Self-taught British mathematician and father of Boolean algebra, George Boole (1815-1864) published the first edition of "A Treatise on the Calculus of Finite Differences" in 1860 as a sequel to his "Treatise on Differential Equations." Both books became instant classics that were used as textbooks for many years and eventually became the basis for our contemporary digital computer systems. The book discusses direct theories of finite differences and integration, linear equations, variations of a constant, and equations of partial and mixed differences. Boole also includes exercises for daring students to ponder, and also supplies answers. Long a proponent of positioning logic firmly in the camp of mathematics rather than philosophy, Boole was instrumental in developing a notational system that allowed logical statements to be symbolically represented by algebraic equations. One of history's most insightful mathematicians, Boole is compelling reading for today's student of logic and Boolean thinking.