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Convex Bodies - NMAT092

Title:	Konvexní tělesa
Guaranteed by:	Mathematical Institute of Charles University (32-MUUK)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2014
Semester:	winter
E-Credits:	3
Hours per week, examination:	winter s.:2/0, Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	cancelled
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time

Guarantor:	prof. RNDr. Jan Rataj, CSc.
Classification:	Mathematics > Mathematics, Algebra, Differential Equations, Potential Theory, Didactics of Mathematics, Discrete Mathematics, Math. Econ. and Econometrics, External Subjects, Financial and Insurance Math., Functional Analysis, Geometry, General Subjects, , Real and Complex Analysis, Mathematics General, Mathematical Modeling in Physics, Numerical Analysis, Optimization, Probability and Statistics, Topology and Category
Is incompatible with:	NMAG262
Is interchangeable with:	NMAG262

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Annotation -

Last update: T_MUUK (16.05.2003)

Introduction to convex geometry in Euclidean spaces with orientation to integral-geometric relations.

Aim of the course - Czech

Last update: RATAJ/MFF.CUNI.CZ (02.05.2008)

Student se seznámí se základy konvexní geometrie.

Teaching methods - Czech

Last update: RATAJ/MFF.CUNI.CZ (02.05.2008)

přednáška

Syllabus -

Last update: T_MUUK (16.05.2003)

1. Convex bodies in Rn , Minkovski operations, support function, Hausdorff metric on the space of convex bodies. 2. Intrinsic volumes of a convex body, mixed volumes, basic integral-geometric relations. 3. Symmetrization, isoperimetric and isodiametric inequalities. 4. Hadwiger's characterization theorem.