Syllabus
- Convex bodies in Rn , Minkovski operations, support function, Hausdorff metric on the space of convex bodies.
- Intrinsic volumes of a convex body, mixed volumes, basic integral-geometric relations.
- Symmetrization, isoperimetric and isodiametric inequalities.
- Hadwiger's characterization theorem.
Annotation
An elective course for bachelor's students of General Mathematics.
Introduction to convex geometry in Euclidean spaces with orientation to integral-geometric relations.