Table of Contents

Lyapunov (A New Case of Integrability of Differential Equations of Motion of a Solid Body in Liquid); Luzin (Sur l'absolue convergence des series trigonometriques); Egorov (Mathematics and Religion in Moscow, by C E Ford); Smirnov (Sur les polynomes orthogonaux a une veriable complexe); Bernstein (Sur la meilleure approximation sur tout l'axe reel des fonctions continues par des fonctions entieres de degre fini); Urysohn; Chebotarev; Vinogradov (Representation of an Odd Number as the Sum of Three Primes); Aleksandrov (Sur la notion de dimension des ensembles fermes); Menshov; Gelfond (Sur le septierie probleme de Hilbert); Khinchin (Three Pearls of Number Theory); Kolmogorov (Local Structure of Turbulence in an Incompressible Viscous Fluid at Very Large Reynolds Numbers); Pontryagin (Homotopic Classification of an (n+2)-Dimensional Spheres into an n-Dimensional Spheres); Gelfand (On Identities for Eigenvalues of a Second Order Differential Operators); Sobolev (On a Theorem of Functional Analysis); Petrovsky (On Problem of some PDE's); Krein (On Extreme Points of Regularly Convex Sets); Liusternik (Topology and Variational Problem); Rokhlin (Proof of Gudkov's Hypothesis); Novikov (Periodic Groups); Bogoliubov (Mathematical Problems of Quantum Field Theory); Aleksadrov (Neue ungleichungen fur die mischvolumen konvexer korper); Kantorovich (A New Method of Solving of Some Classes of Extremal Problems); Malcev (Free Topological Algebras); Linnik (An Application of the Theory of Matrices and of Lobatschevskian Geometry to the Theory of Dirichlet's Real Characters); Markov (The Theory of Algorithms); Lavrentev (On the Theory of Quasi-Conformal Mapping of Three-Dimensional Domains); Tikhonov (Ueber die Erweiteung von Raumen); Delone (Sur le nombre de representations d'un nombre par une forme eubique a discriminent negatif); Keldysh (On the Completeness of the Eigenfunctions of Some Classes of Non-Self Adjoint Linear Operators); Fadeeev; and other articles.