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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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.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Excerpt from Journal de Mathématiques Pures Et Appliquées, Vol. 4: Année 1878
Le point de départ de mon travail se trouve dans l'examen de ques tions toutes différentes relatives aux séries trigonométriques, questions qui ont été un peu négligées depuis la publication du Mémoire de Dirichlet. Avant lui, on avait essayé de démontrer la légitimité des développements trigonométriques, en se rendant compte de l'ordre de grandeur des termes de la série. Cette évaluation n'est. Pas suffisante, comme Dirichlet le fait remarquer; car il fallait démontrer non-seule ment que Ia série est convergente, mais encore en déterminer la somme, ce qui présentait des difficultés sérieuses, levées pour la première fois et d'une manière complète par l'illustre géomètre.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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Paperback. Condición: 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. Nº de ref. del artículo: 9780243348381_0
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9780243348381
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9780243348381
Cantidad disponible: 15 disponibles