Isbn: 9780243478859 - journal de mathématiques pures et appliquées, ou recueil mensuel de mémoires sur les diverses parties des mathématiques, vol. 2: année 1857 (classic reprint) (3 résultats)

PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000.

PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000.

Paperback. Etat : New. Print on Demand. This book explores a method for calculating the density of an infinitesimally thin spherical shell surrounding an object, given the potential of that shell at every point on its surface. The author demonstrates that any given function representing the potential over the entire surface of the sphere can be expanded into a series of spherical functions, and shows how to determine the coefficients of this series. Using these coefficients, the author derives a formula for the density of the shell, which can be expressed as an infinite double sum and double integral. The author also discusses the question of whether this series converges for all points where the density remains finite, and provides a means of simplifying the expression for the density. The book's insights provide a valuable contribution to the field of potential theory and its applications in physics and engineering. 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.…