A Treatise on the Calculus of Finite Differences
A Treatise on the Calculus of Finite Differences

Author: George Boole

Publisher: Cosimo, Inc.

Published: 2007-04-01

Total Pages: 349

ISBN-13: 1602063044

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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).

A Boole Anthology
A Boole Anthology

Author: James Gasser

Publisher: Springer Science & Business Media

Published: 2013-11-11

Total Pages: 351

ISBN-13: 940159385X

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Modern mathematical logic would not exist without the analytical tools first developed by George Boole in The Mathematical Analysis of Logic and The Laws of Thought. The influence of the Boolean school on the development of logic, always recognised but long underestimated, has recently become a major research topic. This collection is the first anthology of works on Boole. It contains two works published in 1865, the year of Boole's death, but never reprinted, as well as several classic studies of recent decades and ten original contributions appearing here for the first time. From the programme of the English Algebraic School to Boole's use of operator methods, from the problem of interpretability to that of psychologism, a full range of issues is covered. The Boole Anthology is indispensable to Boole studies and will remain so for years to come.

Introduction to Difference Equations
Introduction to Difference Equations

Author: Samuel Goldberg

Publisher: Courier Corporation

Published: 1986-01-01

Total Pages: 292

ISBN-13: 0486650847

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Exceptionally clear exposition of an important mathematical discipline and its applications to sociology, economics, and psychology. Topics include calculus of finite differences, difference equations, matrix methods, and more. 1958 edition.