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A Treatise on the Calculus of Finite Differences

Autor George Boole
en Limba Engleză Paperback – 31 mar 2007
This 1860 classic, written by one of the great mathematicians of the 19th century, was designed as a sequel to his Treatise on Differential Equations (1859). Divided into two sections ("Difference- and Sum-Calculus" and "Difference- and Functional Equations"), and containing more than 200 exercises (complete with answers), Boole discusses: . nature of the calculus of finite differences . direct theorems of finite differences . finite integration, and the summation of series . Bernoulli's number, and factorial coefficients . convergency and divergency of series . difference-equations of the first order . linear difference-equations with constant coefficients . mixed and partial difference-equations . and much more. No serious mathematician's library is complete without A Treatise on the Calculus of Finite Differences. English mathematician and logician GEORGE BOOLE (1814-1864) is best known as the founder of modern symbolic logic, and as the inventor of Boolean algebra, the foundation of the modern field of computer science. His other books include An Investigation of the Laws of Thought (1854).
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Specificații

ISBN-13: 9781602063044
ISBN-10: 1602063044
Pagini: 348
Dimensiuni: 140 x 216 x 20 mm
Greutate: 0.44 kg
Editura: COSIMO CLASSICS
Locul publicării:United States

Cuprins

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.

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This classic text is part of the foundation of our digital computer age.