A. D. Alexandrov Selected Works Part I: Selected Scientific Papers

On infinitesimal bendings of nonregular surfaces. An elementary proof of the Minkowski and some other theorems on convex polyhedra. To the theory of mixed volumes of convex bodies. Part I: Extension of certain concepts of the theory of convex bodies. To the theory of mixed volumes of convex bodies. Part II: New inequalities for mixed volumes and their applications. To the theory of mixed volumes of convex bodies. Part III: Extension of two Minkowski theorems on convex polyhedra to all convex bodies. To the theory of mixed volumes of convex bodies. Part IV: Mixed discriminants and mixed volumes. A general uniqueness theorem for closed surfaces. On the area function of a convex body. Intrinsic geometry of an arbitrary convex surface. Existence of a convex polyhedron and a convex surface with given metric. On tiling a space with polyhedra. On a generalization of Riemannian geometry. The Dirichlet problem. A general method for dominating solutions of the Dirichlet problem. On the principles of relativity theory. Index.