"A new version of the author's Algebraic Theory of Quadratic Forms, this book gives a modern and self-contained introduction to the theory of quadratic forms over fields of characteristic not two." "The presentation of the main material in this book is interspersed with a copious number of carefully chosen examples to illustrate the general theory. This feature, together with a stock of some 280 exercises for the thirteen chapters, greatly enhances the pedagogical value of this book, both as a graduate text and as a reference work for researchers in algebra, number theory, field theory, algebraic geometry, algebraic topology, and geometric topology."--Jacket.