Quadratic Forms with Applications to Algebraic Geometry and Topology

This volume has grown out of lectures given by Professor Pfister over many years. The emphasis here is placed on results about quadratic forms that give rise to interconnections between number theory, algebra, algebraic geometry and topology. Topics discussed include Hilbert''s 17th problem, the Tsen-Lang theory of quasi algebraically closed fields, the level of topological spaces and systems of q...