Introduction To Quadratic Forms (Broché)

From the reviews: " ... The classification problem - namely, the search for invariants which will characterize when one form can be taken into another by a linear transformation over a given field or integral domain - forms a unified and elegant part of the theory of quadratic forms. This book is a monograph on that subject, including the most advanced results... The exposition follows the tradition of the lectures of Emil Artin who enjoyed developing a subject from first principles and devoted much research to finding the simplest proofs at every stage." American Mathematical Monthly (1965) "...The orthogonal group is considered, with particular attention given to certain of its subgroups, in the manner of the work of Dieudonné... The recently-discovered spinor genus of Eichler and Kneser is introduced, the clearest treatment of it yet to appear in print..." " Anyone who has heard O'Meara lecture will recognize in every page of this book the crispness and lucidity of the authors style; the reader soon comes to feel himself cheated when he finds a proof requiring an extra sentence or two of explanation. Furthermore, the organization and selection of material is superb: hardly any result is proven early in the book without its being used later on... The author's relentless pace imparts to the book almost the flavor of a research paper (although with complete proofs), certainly not of a leisurely textbook". Bulletin of the American Mathematical Society (1965)