Number Theory

Contents: Part 1- The Foundations of Arithmetic in the Rational Number Field / Prime Decomposition / Function Fields / Divisibility / Function Fields / Congruences / Function Fields / The Theory of Finite Fields / The Structure of the Residue class ring mod m and of the reduced class group mod m / Quadratic Residues / Part 2- The theory of valued fields / The fundamentals concept regarding valuations / Arithmetic in a discrete valued field /The complementation of a valued field / The completion of a discrete valued field / The P-adic number fields / The Isomorphism types of complete discrete valued fields with perfect residue class field. ISBN:9788184896466 656 Yr. of Pub.2010 Hard Bound English