Convexity

BL A clearly written exposition of the subject This text provides a wide-ranging introduction to convex sets and functions, suitable for final-year undergraduates and also graduate students. Demanding only a modest knowledge of analysis and linear algebra, it discusses such diverse topics as number theory, classical extremum problems, combinatorial geometry, linear programming, game theory, polytopes, bodies of constant width, the gamma function, minimax approximation, and the theory of linear, classical, and matrix inequalities.