Lectures on Convex Geometry

Focusing on convex geometry in Euclidean space, this book begins with foundational concepts before delving into Brunn-Minkowski theory, including mixed volumes and the Brunn-Minkowski inequality, along with its implications like the isoperimetric inequality. It also explores surface area measures, projection functions, zonoids, and geometric valuations. An introduction to integral-geometric formulas is included, and the numerous exercises and supplementary materials enhance the learning experience, making it a comprehensive resource for the subject.