Singular Integral Equations: Linear and Non-linear Theory and its Applications in Science and Engineering
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1 - Introduction.- 2 - Finite-Part Singular Integral Equations.- 3 - Finite-Part Singular Integral Equations in Elasticity and Fracture Mechanics.- 4 - Singular Integral Equations in Aerodynamics.- 5 - Multidimensional Singular Integral Equations.- 6 - Multidimensional Singular Integral Equations in Elasticity and Fracture Mechanics of Isotropic Solids.- 7 - Multidimensional Singular Integral Equations in Relativistic Elastic Stress Analysis for Moving Frames.- 8 - Multidimensional Singular Integral Equations in Elasticity and Fracture Mechanics of Anisotropic Solids.- 9 - Multidimensional Singular Integral Equations in Plasticity of Isotropic Solids.- 10 - Non-Linear Singular Integral Equations.- 11 - Numerical Evaluation Methods for Non-Linear Singular Integral Equations.- 12 - Non-Linear Singular Integral Equations in Fluid Mechanics.- 13 - Non-Linear Integro-Differential Equations in Structural Analysis.- 14 - Non-Linear Singular Integral Equations in Elastodynamics.- 15 - Conclusions.- Appendix - Mathematical Definitions.- Author Index.