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Excerpt from Journal de Mathématiques Pures Et Appliquées, Vol. 4: Année 1878
Après avoir examiné cette première question, j'étudie les mêmes séries en donnant à la variable des valeurs imaginaires, et je montre que les résultats connus pour les fonctions de Legendre se conservent pour les polynômes les plus généraux. Les courbes qui limitent la région de convergence sont des ellipses homofocales.
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Journal de Mathà matiques Pures Et Appliquà es, Vol. 4: Annà e 1878
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Paperback. Condizione: New. Print on Demand. This book presents a systematic method to approximate the value of functions involving large numbers, an essential concept in applied mathematics, particularly probability theory and celestial mechanics. The author provides clear criteria to assess the order of magnitude of the terms in a trigonometric series, which forms the basis for evaluating functions involving large numbers. They extend the results obtained by Laplace to cases where the functions involved are imaginary, and the limits of integration are not real. The book's significance lies in its provision of a rigorous framework and practical methods for approximating functions involving large numbers, making it a valuable resource for mathematicians, physicists, and engineers working in various fields. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Codice articolo 9780243348381_0
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Journal de Math?matiques Pures Et Appliqu?es, Vol. 4: Ann?e 1878 (Classic Reprint)
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