A Treatise on the Calculus of Finite Differences
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Written by the founder of symbolic logic (and Boolean algebra), this classic treatise on the calculus of finite differences offers a thorough discussion of the basic principles of the subject, covering nearly all the major theorems and methods with clarity and rigor. Includes more than 200 problems. 1872 edition.
I. Difference- and Sum-Calculus1. Nature of the Calculus of Finite Differences2. Direct Theorems of Finite Differences3. On Interpolation, and Mechanical Quadature4. Finite Integration, and the Summation of Series5. The Approximate Summation of Series6. Bernouli's Numbers, and Factorial Coefficients7. Convergency and Divergency of Series8. Exact Theorem. Difference- and Functional Equations9. Difference-Equations of the First Order10. General Theory of the Solutions of the Difference- and Differential Equations of the First Order11. Linear Difference-Equations with Constant Coefficients12. Miscellaneous Propositions and Equations. Simultaneous Equations13. Linear Equations with Variable Coefficients. Symbolical and General Methods14. Mixed and Partial Difference-Equations15. Of the Calculus of Functions16. Geometrical Applications. Answers to the Exercises
