Lectures on Convex Geometry

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Focusing on convex geometry in Euclidean space, this book introduces fundamental concepts and results, progressing to the Brunn-Minkowski theory, including mixed volumes and the Brunn-Minkowski inequality. It also explores key topics like surface area measures, projection functions, zonoids, and geometric valuations. An introduction to integral-geometric formulas concludes the text. The inclusion of numerous exercises and supplementary materials enhances the learning experience, making it a comprehensive resource for students and researchers alike.