Book excerpt: Excerpt from The Discriminant of Hill's Equation The transformed equation is then solved by rewriting it as an integral equation and employing the process of successive approximations. The solutions thus obtained are asymptotic in w. An explicit asymptotic development of the dis criminant is given with an error term of O(lml' 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.