The papers in this volume grew out of a year-long program in Real
Algebraic Geometry and Quadratic Forms, held at the University of
California at Berkeley during the 1990-1991 academic year. This valuable
collection of research articles by top workers serves as a record of
current developments in these areas and as a tribure to the fruitful
interaction between them. Students and researchers alike will find this
book a useful reference, with articles ranging from the technical to the
expository. Also included are summaries of the current developments in
several subdisciplines and indications of new research directions.