George BooleA Treatise on the Calculus of Finite Differences
Preface to the first edition
Preface to the second edition
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.
