Electron scattering in solid matter : a theoretical and computational treatise Addressing graduate students and researchers this book gives a very detailed theoretical and computational description of multiple scattering in solid matter. Particular emphasis is placed on solids with reduced dimensions on full potential approaches and on relativistic treatments. For the first time approaches such as the Screened Korringa Kohn Rostoker method are reviewed considering all formal steps such as single site scattering structure constants and screening transformations and also the numerical point of view. Furthermore a very general approach is presented for solving the Poisson equation needed within density functional theory in order to achieve self consistency. Special chapters are devoted to the Coherent Potential Approximation and to the Embedded Cluster Method used for example for describing nanostructured matter in real space. In a final chapter physical properties related to the (single particle) Greens function such as magnetic anisotropies interlayer exchange coupling electric and magneto optical transport and spin waves serve to illustrate the usefulness of the methods described. TOC:Introduction. Preliminary Definitions. Multiple Scattering. Shape Functions. Non Relativistic Single Site Scattering for Spherically Symmetric Potentials. Non Relativistic Full Potential Single Site Scattering. Spin Polarized Non Relativistic Single Site Scattering. Relativisitc Single Scattering for Spherically Symmetric Potentials. Relativisitc Full Potential Single Site Scattering. Spin Polarized Relativistic Single Site Scattering for Spherically Symmetric Potentials. Spin Polarized Relativisitc Full Potential Single Site Scattering. Scalar Relativistic Single Site Scattering for Spherically Symmetric Potentials. Scalar Relativistic Full Potential Single Site Scattering. Phase Shifts and Resonance Energies. Structure Constants. Greens Functions. The Screened KKR Method for Two Dimensional Translationally Invariant Systems. Charge and Magnetization Densities. The Poisson Equation and the Generalized Madelung Problem. Total Energies. Near Field Corrections. Practical Aspects of Full Potential Calculations. Total Energies. The Coherent Potential Approximation. The Embedded Cluster Method. Magnetic Configurations Rotations of Frame. Related Physical Properties