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Sinopsis
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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Reseña del editor
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.
Reseña del editor
Calculus ofF inite Differences, particular attention has been paid to the connexion of its methods with those of theD ifferential Calculus a connexion which in some instances involves far more than a merely formal analogy. Indeed the work is in some measure designed as a sequel to my Treatise on Differential Equations. And it has been i :composed on the same plan. Mr Stirling, ofT rinity College, Cambridge, has rendered me much valuable assistance in the revision of the proofsheets. In offering him my best thanks for his kind aid, I am led to express a hope that the work will be found to be free from important errors. QUEENS COLLEGE, CORK, A pril 18, 1860. GEORGE BOOLE.
(Typographical errors above are due to OCR software and don't occur in the book.)
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A TREATISE ON THE CALCULUS OF FINITE DIFFERENCES.
Publicado por
Dover Publications, Mineola,, 2003
ISBN 10: 048649523X
ISBN 13: 9780486495231
Antiguo o usado
Tapa dura
Librería: Burwood Books, Wickham Market, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Hardcover. Condición: Fine. Reprint. Hardback. 8vo. Original publishers laminated boards. Issued without dust jacket. 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. ISBN: 048649523X Pages: 352 Fine. Nº de ref. del artículo: C94041
Cantidad disponible: 1 disponibles