Selected Works of S.L. Sobolev

• Equations of Mathematical Physics.- Application of the Theory of Plane Waves to the Lamb Problem.- On a New Method in the Plane Problem on Elastic Vibrations.- On Application of a New Method to Study Elastic Vibrations in a Space with Axial Symmetry.- On Vibrations of a Half-Plane and a Layer with Arbitrary Initial Conditions.- On a New Method of Solving Problems about Propagation of Vibrations.- Functionally Invariant Solutions of the Wave Equation.- General Theory of Diffraction of Waves on Riemann Surfaces.- The Problem of Propagation of a Plastic State.- On a New Problem of Mathematical Physics.- On Motion of a Symmetric Top with a Cavity Filled with Fluid.- On a Class of Problems of Mathematical Physics.- Computational Mathematics and Cubature Formulas.- Schwarz’s Algorithm in Elasticity Theory.- On Solution Uniqueness of Difference Equations of Elliptic Type.- On One Difference Equation.- Certain Comments on the Numeric Solutions of Integral Equations.- Certain Modern Questions of Computational Mathematics.- Functional Analysis and Computational Mathematics.- Formulas of Mechanical Cubatures in n-Dimensional Space.- On Interpolation of Functions of n Variables.- Various Types of Convergence of Cubature and Quadrature Formulas.- Cubature Formulas on the Sphere Invariant under Finite Groups of Rotations.- The Number of Nodes in Cubature Formulas on the Sphere.- Certain Questions of the Theory of Cubature Formulas.- A Method for Calculating the Coefficients in Mechanical Cubature Formulas.- On the Rate of Convergence of Cubature Formulas.- Theory of Cubature Formulas.- Convergence of Approximate Integration Formulas for Functions from L 2 (m) .- Evaluation of Integrals of Infinitely Differentiable Functions.- Cubature Formulas with Regular Boundary Layer.- ADifference Analogue of the Polyharmonic Equation.- Optimal Mechanical Cubature Formulas with Nodes on a Regular Lattice.- Constructing Cubature Formulas with Regular Boundary Layer.- Convergence of Cubature Formulas on Infinitely Differentiable Functions.- Convergence of Cubature Formulas on the Elements of .- The Coefficients of Optimal Quadrature Formulas.- On the Roots of Euler Polynomials.- On the End Roots of Euler Polynomials.- On the Asymptotics of the Roots of the Euler Polynomials.- More on the Zeros of Euler Polynomials.- On the Algebraic Order of Exactness of Formulas of Approximate Integration.

From the reviews: "Even I, who know very little about partial differential equations and related mathematics, recognize the name of S.L. Sobolev (1908-1989) as one of the most influential contributors to the field in the 20th century. This book is the first volume of his 'selected works' ... . There is no question that all good research libraries will want to have a copy of this one." (Fernando Q. Gouvea, Math DL, October, 2006)