About the Book: This book offers a self-contained and unified treatment of the algebraic and topological properties of convex sets in n-dimensional Euclidean space, including general properties, convex hulls, cones, polyhedral sets, and separation/extreme point properties. Developed from over a decade of teaching courses on geometry and convexity, it is suitable as a graduate-level textbook, for ambitious undergraduates, as a supplementary text for convex geometry or convex analysis courses, or for independent study by students and researchers in mathematics, optimization, and operations research.