Book Review: Introduction to Abstract Algebra
Neal H. McCoy · Bulletin of the American Mathematical Society · 1941
phenomena of the weight field of force of the earth, and is, in general, a summary of the author's earlier investigations in this field.The earth's weight field of force is defined by the acceleration relative to the solid part of the earth which a body resting near the surface of the earth sustains, due to gravitation of the earth and the heavenly bodies, and due to the earth's motion in the absolute system.The first three introductory sections of the monograph deal with the laws of relative motion and the effects of a moving atmosphere.In the fourth section it is shown that the tidal effects and the results of precession and nutation are negligible as compared with the gravitational attraction of the earth and the centrifugal force due to the earth's rotation.This main part of the weight field is at rest with respect to the solid part of the earth, and it possesses a potential.In the next two sections the moments actuating the Eötvös torsion balances are derived in geometrical and analytical treatment.The seventh section and the appendix are devoted to some dynamical phenomena of the weight field which lead to differential equations that can be easily integrated.In view of the recent revival, due to the national defense program, of interest in geophysics and ballistics, this monograph may prove useful in putting some special investigations, which are capable of application in these fields, in a more available form.