Theory of Valuations: Mathematical Surveys, No. 4

The Theory of Valuations: Mathematical Surveys, No. 4 is a scholarly work authored by Otto Franz Georg Schilling. This book explores the mathematical theory of valuations, which is a fundamental concept in algebraic geometry and number theory. The author provides a comprehensive overview of valuations, their properties, and their applications in various mathematical fields. The book covers topics such as the Hensel lemma, local fields, and the theory of real valuations. The author also delves into the relationship between valuations and algebraic curves, as well as the role of valuations in the study of algebraic number fields. This book is an invaluable resource for mathematicians, researchers, and students interested in the theory of valuations and its applications.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.