Elements Of The Theory Of The Newtonian Potential Function Third Enlarged Edition

Elements of the Theory of the Newtonian Potential Function. Third ... Enlarged Edition

Elements of the Theory of the Newtonian Potential Function

Elements of the Theory of the Newtonian Potential Function

Excerpt from Elements of the Theory of the Newtonian Potential Function: Third, Revised and Enlarged Edition This little text-book was written some years ago to accompany the lectures in a short preparatory course on the Newtonian Potential Function, especially intended for students who were afterwards to begin a systematic study of the Mathematical Theory of Electricity and Magnetism, with the help of some of the standard treatises on the subject. In preparing the present edition a few imperative changes have been made in the plates, some sections have been introduced, and a large number of simple miscellaneous problems have been added at the end of the last chapter. The reader who wishes to get a thorough knowledge of the properties of the Potential Function and of its applications, is referred to the works mentioned in the list given below. Most of those that had then been published I con suited and used in writing these notes, and from some which oj have appeared since the body of this book was electrotyped I have borrowed material for problems: many other problems I have taken from various college and university examination papers. I am indebted also to my colleagues, Professors Trowbridge, Byerly, E. H. Hall, Osgood, Sabine, M. Bocher, and C. A. Adams for valuable criticisms and suggestions. The slight use which I have made of developments in terms of Spherical Harmonics and Bessel's Functions is explained by the fact that students who use this book in Harvard University study at the same time Professor Byerly's admirable Treatise on Fourier's Series, and Spherical, Cylindrical and Ellipsoidal Harmonics. 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.