Introduction To Quadratic Forms Over Fields

Abstract

Foundations Introduction to Witt rings Quaternion algebras and their norm forms The Brauer-Wall group Clifford algebras Local fields and global fields Quadratic forms under algebraic extensions Formally real fields, real-closed fields, and pythagorean fields Quadratic forms under transcendental extensions Pfister forms and function fields Field invariants Special topics in quadratic forms Special topics on invariants Bibliography Index.