Beschreibung
This book examines algebraic number theory and the theory of semisimple algebras. It covers classification over an algebraic number field and classification over the ring of algebraic integers.
Inhalt
Preface.- Notation and Terminology.- The Quadratic Reciprocity Law.- Arithmetic in an Algebraic Number Field.- Various Basic Theorems.- Algebras Over a Field.- Quadratic Forms Over a Field.- Deeper Arithmetic of Quadratic Forms.- Quadratic Diophantine Equations.- References.- Index.-