A.D. Alexandrov: Intrinsic Geometry of Convex Surfaces (Classics of Soviet Mathematics)

A.D. Alexandrov is considered by many to be the father of intrinsic geometry. A two-volume set, A.D. Alexandrov Selected Works contains some of the most important papers by this renowned geometer. Volume 1 covers convex polyhedrons and closed surfaces, an elementary proof and extension of Minkowski's theorem, Riemannian geometry and a method for Dirichlet problems. Volume 2 covers general propositions on an intrinsic metric, angles and curvature, the existence of a convex polyhedron with prescribed metric, curves on convex surfaces, and the role of specific curvature. These monographs, published in English for the first time, will appeal to advanced students and researchers in mathematics and geometry.