In the last 100 years or so researchers have worked with ordered vector spaces and cones, often alongside their work in the different perspective of functional analysis and operator theory. About 50 years ago mathematicians from a range of schools worldwide started studying ordered vector spaces systematically, often to solve optimization problems. As a result this field has become integral to engineering, economics and the social sciences. Here the authors consider cones anew and show how their ideas apply to various fields, aiding researchers and graduate students in mathematics, economics and finance. They cover cones, cones in topological vector spaces, Yudin and pull-back cones, Krein operators, K-lattices, order extensions, piecewise affine functions and in a fascinating appendix, linear topologies. Annotation ©2007 Book News, Inc., Portland, OR (booknews.com)