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Look Inside A Treatise on the Calculus of Finite Differences

A Treatise on the Calculus of Finite Differences

$35.99 (R)

Part of Cambridge Library Collection - Mathematics

  • Date Published: July 2009
  • availability: Available
  • format: Paperback
  • isbn: 9781108000925

$ 35.99 (R)
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  • 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.

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    Product details

    • Date Published: July 2009
    • format: Paperback
    • isbn: 9781108000925
    • length: 264 pages
    • dimensions: 216 x 140 x 15 mm
    • weight: 0.34kg
    • availability: Available
  • 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.

  • Author

    George Boole

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