A Treatise on the Calculus of Finite Differences 1st Edition by George Boole – Ebook PDF Instant Download/Delivery: 1108000924, 9781108000925
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Product details:
ISBN 10: 1108000924
ISBN 13: 9781108000925
Author: George Boole
Self-taught mathematician and father of Boolean algebra, George Boole (1815–1864) published A Treatise on the Calculus of Finite Differences in 1860 as a sequel to his Treatise on Differential Equations (1859). 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.
A Treatise on the Calculus of Finite Differences 1st Table of contents:
1. Nature of the calculus of finite differences
2. Direct theorems of finite differences
3. On interpolation, and mechanical quadrature
4. Finite integration, and the summation of series
5. The approximate summation of series
6. Bernoulli’s numbers, and factorial coefficients
7. Convergency and divergency of series
8. Exact theorems
9. Difference-equations of the first order
10. General theory of the solutions of difference- and differential equations of the first order
11. Linear difference-equations with constant coefficients
12. Miscellaneous propositions and equations. Simultaneous equations
13. Linear equations with variable coefficients. Symbolical and general methods
14. Mixed and partial difference-equations
15. Of the calculus of functions
16. Geometrical applications
Answers to the exercises.
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Tags: George Boole, Treatise, Calculus, Finite Differences


