I Fundamental Propkrtibs of Cauchy Integrals.- 1 The Holder Condition.- 2 Integrals of the Cauehy type.- 3 Some corollaries on Cauehy integrals.- 4 Cauehy integrals near ends of the line of integration.- II The Hilbert and the Biemann-Helbert Problems and Singular Integral Equations (Case of Contours).- 5 The Hilbert and Riemann-Hilbert boundary problems.- 6 Singular integral equations with Cauehy type kernels (case of contours).- III Applications to Some Boundary Problems.- 7 The Dirichlet problem.- 8 Various representations of holomorpkic functions by Cauehy and analogous integrals.- 9 Solution of the generalized Riemann-Hilbert-Poincaré problem.- IV The Hilbert Problem in the Case of Arcs or Discontinuous Boundary Conditions and Some of its Applications.- 10 The Hilbert problem in the case of arcs or discontinuous boundary conditions.- 11 Inversion formulae for arcs.- 12 Effective solution of some boundary problems of the theory of harmonic functions.- 13 Effective solution of the principal problems of the static theory of elasticity for the half-plane, circle and analogous regions.- V Singular Integral Equations for the Case of Arcs or Discontinuous Coefficients and Some of their Applications.- 14 Singular integral equations for the case of arcs and continuous coefficients.- 15 Singular integral equations in the case of discontinuous coefficients.- 16 Application to the Dirichlet problem and similar problems.- 17 Solution of the intgro-differential-equation of the theory of aircraft wings of finite span.- VI The Hilbert Problem for Several Unknown Functions and Systems of Singular Integral Equations.- 18 The Hilbert problem for several unknown functions.- 19 Systems of singular integral equations with Cauchy type kernels and some supplements.- Appendix 1 On smoothand piecewise smooth lines.- Appendix 2 On the behaviour of the Cauchy integral near corner points.- Appendix 3 An elementary proposition regarding bi-orthogpnal systems of functions.- References and author index.