A Treatise on the Calculus of Finite Differences

Nonfiction, Science & Nature, Mathematics, Calculus
Cover of the book A Treatise on the Calculus of Finite Differences by George Boole, Dover Publications
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Author: George Boole ISBN: 9780486158525
Publisher: Dover Publications Publication: March 5, 2014
Imprint: Dover Publications Language: English
Author: George Boole
ISBN: 9780486158525
Publisher: Dover Publications
Publication: March 5, 2014
Imprint: Dover Publications
Language: English
Written by a great English mathematician, this classic text begins with the differences of elementary functions and explores interpolation, mechanical quadrature, finite integration, and the summation of series. Several useful tests for the convergence and divergence of series are developed, as is a method for finding the limits of error in series expansions. The latter half of the book discusses difference-equations, including linear, mixed, and partial difference-equations, and concludes with applications to problems in geometry and optics. The text pays particular attention to the connection of the calculus of finite differences with the differential calculus, and more than 200 problems appear in the text (some with solutions). Unabridged republication of the classic 1872 edition.
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Written by a great English mathematician, this classic text begins with the differences of elementary functions and explores interpolation, mechanical quadrature, finite integration, and the summation of series. Several useful tests for the convergence and divergence of series are developed, as is a method for finding the limits of error in series expansions. The latter half of the book discusses difference-equations, including linear, mixed, and partial difference-equations, and concludes with applications to problems in geometry and optics. The text pays particular attention to the connection of the calculus of finite differences with the differential calculus, and more than 200 problems appear in the text (some with solutions). Unabridged republication of the classic 1872 edition.

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