Algebraic numbers and algebraic functions
Book information
Description
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.
Similar books
Universal Algebra
1981 · PDF
Algebra 9.. finite groups of Lie type, finite dimensional division algebras
2010 · DJVU
Combinatorial Group Theory and Applications to Geometry
1993 · DJVU
Algebra 9.. finite groups of Lie type, finite dimensional division algebras
2010 · DJVU
Cosmical Electrodynamics, 2nd Ed. (International Series of Monographs on Physics)
1963 · DJVU
Theory of Knowledge: An Introduction
1976 · DJVU
Introduction to Stochastic Processes with Special Reference to Methods and Applications
DJVU
Dynamical Theory of Crystal Lattices (The International series of monographs on physics)
1998 · DJVU