Introduction To Riemann Surfaces
by George Springer /
1957 / English / DjVu
3.3 MB Download
The reawakening of interest in the subject of Riemann surfaces has brought with it the need for a textbook in English offering an introduction to the field. This book presents a self-contained, modern treatment of the fundamental concepts and basic theorems concerning Riemann surfaces. We assume that the reader is familiar with elementary complex function theory and with some real variables and algebra. Because we shall have to draw heavily from topology and Hilbert space theory, the reader will also find in this book an introduction to these fields, so that no previous knowledge of these subjects is required. This book is not meant to be a survey of the current work being done in the realm of Riemann surfaces, but rather is a modern presentation of the classical theory which will prepare the reader for further study in this and related fields.
