V. A. Alexandrov, Sobolev Institute of Mathematics, Novosibirsk, Russia

This volume reviews how the implicit and inverse function theorems operate in polyhedron theory, and how they are used to deduce classical and new theorems on polyhedra. For example, the existence uniqueness and rigidity of a convex polyhedron with a given development; construction of flexible polyhedron with given areas and directions of faces, generalization of theorems for nonconvex polyhedra.

2010              120pp              PBK                978-1-904868–86-6