Suitable for advanced undergraduates and graduate students, this text introduces the broad scope of convexity by highlighting diverse applications. Topics include characterizations of convex sets, polytopes, duality, optimization, and convex functions. Exercises appear throughout the text, with solutions, hints, and references at the end. 1982 edition. Reprint of the John Wiley & Sons, New York, 1982 edition.
Geometry and Convexity: A Study in Mathematical Methods by Paul J. Kelly, Max L. Weiss This text assumes no prerequisites, offering an easy-to-read treatment with simple notation and clear, complete proofs. From motivation to definition, its explanations feature concrete examples and theorems. 1979 edition.
Convex Surfaces by Herbert Busemann This exploration of convex surfaces focuses on extrinsic geometry and applications of the Brunn-Minkowski theory. It also examines intrinsic geometry and the realization of intrinsic metrics. 1958 edition.
