Riehm (emeritus, mathematics, McMaster U., Canada) presents an undergraduate introduction to the area of mathematics, rather than an encyclopedic reference. His principal goal is to examine the known results on the equivalence theory and related matters such as the Witt and Witt-Grothendieck groups, over the classical fields: algebraically closed, real closed, finite, local and global. His account relies on the basic results in the linear representations of finite groups in quadratic, symplectic, and Hermitian forms and in involutions over simple algebras, which are outlined, mainly without proofs, in the first chapter. Annotation ©2011 Book News, Inc., Portland, OR (booknews.com)