This book is an introduction to the theory of algebraic numbers and algebraic functions of one variable. The basic development is the same for both using E Artin's legant approach, via valuations. Number Theory is pursued as far as the unit theorem and the finiteness of the class number. In function theory the aim is the Abel-Jacobi theorem describing the devisor class group, with occasional geometrical asides to help understanding. Assuming only an undergraduate course in algebra, plus a little acquaintance with topology and complex function theory, the book serves as an introduction to more technical works in algebraic number theory, function theory or algebraic geometry by an exposition of the central themes in the subject.
- ISBN13 9781351094931
- Publish Date 18 January 2018 (first published 1 September 1991)
- Publish Status Active
- Publish Country GB
- Publisher Taylor & Francis Ltd
- Imprint Chapman and Hall
- Format eBook
- Pages 204
- Language English