A Treatise on the Calculus of Finite Differences

by George Boole

Overview

Reprint of the original, first published in 1860.

Product Details

ISBN-13:	9783375098940
Publisher:	Salzwasser-Verlag
Publication date:	07/20/2022
Pages:	260
Product dimensions:	5.83(w) x 8.27(h) x 0.59(d)

Table of Contents

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.