On Riemann's Theory of Algebraic Functions and Their Integrals: A Supplement to the Usual Treatises (Classic Reprint)

Excerpt from On Riemann's Theory of Algebraic Functions and Their Integrals: A Supplement to the Usual TreatisesTheory of Functions treated geometrically. Part I, Winter-semester 1880 81, Part II, Summer-semester 1881.I denote thus the contents of the investigations with which Riemann was concerned in the first part of his Theory of the Abelian Functions. The theory of the O-functions, as developed in the second part of the same treatise, is in the first place, as we know, of an essentially different character, and is excluded from the following presentation as it was from my course of lectures.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis 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.