… In this paper, we first give a different proof for Theorem 1. Then we … a similar result for
quadratic forms with special structure. Finally we present a result about three quadratic forms which …

… quadratic form in 1 + A variables over F represents 0 at least in the following two cases : (1)
A < 8, (2) -1 is a … In particular, the conclusion is valid if F has characteristic p, for -1 is then a …

… has evolved from lecture notes for introductory graduate courses on quadratic forms I have
… Later on we will see that it can be advantageous to view a quadratic form as a mapping on a …

… a few other books on the subject of quadratic forms have been written in the intermittent
years, "ATQF" continued to be a textbook of choice for students in quadratic form theory, and a …

… Instead he has given a clear account from first principles and his book is a useful introduction
to the modern viewpoint and literature. In fact it presupposes only undergraduate algebra (…

… of a quiver and the definiteness of a certain quadratic form. … a quadratic form—called its
Tits form—to each basic algebra whose Gabriel quiver has no oriented cycle. We prove that a …

… quadratic forms over fields of characteristic not 2. Immediately, we have a first question: can
their theory be given by a V-form… (4) We conclude with a note on quadratic forms over a field …

… of this note some results concerning the simultaneous representation of a pair of integers
by a quadratic and a linear form.3 We hope, however, to prove in another note some theorems …

… quadratic forms. The product of a non-singular matrix and a matrix of rank R is a matrix of
rank R… Hence, every non-singular quadratic form of the kind here discussed is correlated with …

… arithmetical theory of quadratic forms in the light of our present knowledge but from a totally
elementary point of view. The discussion in this preface is intended for the reader who is …