Half Title Page.
1: Variational Principle for Three-Dimensional Steady-State Flows of an Ideal Fluid.
2: On the Riemann Curvature of Diffeomorphism Groups.
3: Topologie. — Sur La Topologie Des écoulements Stationnaires Des Fluides Parfaits. Note (*) De M. Vladimir Arnold, Présentée Par m. Jean Leray..
4: Conditions for Non-Linear Stability of Stationary Plane Curvilinear Flows of an Ideal Fluid.
5: On the Topology of Three-Dimensional Steady Flows of an Ideal Fluid.
6: On an Apriori Estimate in the Theory of Hydrodynamical Stability.
7: On the Differential Geometry of Infinite-Dimensional Lie Groups and Its Applications to the Hydrodynamics of Perfect Fluids∗.
8: On a Variational Principle for the Steady Flows of Perfect Fluids and Its Applications to Problems of Non-Linear Stability.
9: Characteristic Class Entering in Quantization Conditions.
10: A Note on Weierstrass' Auxiliary Theorem.
11: The Stability Problem and Ergodic Properties for Classical Dynamical System.
12: A Remark on the Ramification of Hyperelliptic Integrals as Functions of Parameters.
13: Singularities of Smooth Mappings.
14: Remarks on Singularities of Finite Codimension in Complex Dynamical Systems.
15: Braids of Algebraic Functions and the Cohomology of Swallowtails.
16: Hamiltonian Nature of the Euler Equations in the Dynamics of a Rigid Body and of an Ideal Fluid.
17: On the One-Dimensional Cohomology of the Lie Algebra of Divergence-Free Vector Fields and Rotation Numbers of Dynamical Systems.
18: The Cohomology Ring of the Colored Braids Group.
19: On Cohomology Classes of Algebraic Functions Invariant under Tschirnhausen Transformations.
20: Trivial Problems.
21: Algebraic Unsolvability of the Problem of Stability and the Problem of Topological Classification of Singular Points of Analytic Systems of Differential Equations (Russian).
22: On Some Topological Invariants of Algebraic Functions1).
23: Topological Invariants of Algebraic Functions ii.
24: Algebraic Unsolvability of the Problem of Lyapunov Stability and the Problem of Topological Classification of Singular Points of an Analytic System of Differential Equations.
25: On the Arrangement of Ovals of Real Plane Algebraic Curves, Involutions of Four-Dimensional Smooth Manifolds, and the Arithmetic of Integral Quadratic Forms.
26: Topology of Real Algebraic Curves (Works of I.g. Petrovsky and Their Development)∗.
27: On Matrices Depending on Parameters.
28: Lectures on Bifurcations in Versal Families.
29: Versal Families and Bifurcations of Differential Equations (Russian).
30: Notes on the Three Dimensional Flow Pattern of a Perfect Fluid in the Presence of a Small Perturbation of the Initial Velocity Field.
31: The Asymptotic Hopf Invariant and Its Application*.
32: A Magnetic Field in a Moving Conducting Fluid.
33: A Magnetic Field in a Stationary Flow with Stretching in Riemannian Space.
34: Steady-State Magnetic Field in a Periodic Flow.
35: Some Remarks on the Antidynamo Theorem.
36: Evolution of a Magnetic Field under the Action of Transfer and Diffusion.
37: The Growth of a Magnetic Field in a Three-Dimensional Steady Incompressible Flow.
38: On Evolution of a Magnetic Field under the Action of Drift and Diffusion (Russian).
39: Exponential Scattering of Trajectories and Its Hydrodynamical Applications.
40: Kolmogorov's Hydrodynamic Attractors.
41: Topological Methods in Hydrodyamics.
42: Translator’s Preface to J. Milnor’s Book “morse Theory”.
43: Henri Poincaré: Selected Works in Three Volumes: Vol. I. New Methods of Celestial Mechanics.
44: Comments on the Paper “on a Geometric Theorem” by Henri Poincaré.