1 Non-equilibrium Thermodynamics.- 2 The Problem. 2.1 Conservation Equations. 2.2 The H Theorem and Local Equilibrium.- 3 Solution of the Boltzmann Equation.- 4 Calculation of the Currents. 4.1 Diffusion Effects. 4.2 Flow of Heat.- 5 Solution of the Integral Equations.- 6 The Transport Coefficients.- 7 Discussion of the Results.- 8 Viscomagnetism. 8.1 The Integral Equation. 8.2 The Stress Tensor. 8.3 The Integral Equation. 8.4 Comparison with Thermodynamics.- 9 Magnetohydrodynamics.- A Calculation of M. B Linearized Boltzmann Collision Kernels. C The case when = 0. D The collision integrals. E Calculation of the coefficients. F Appendix F. G Appendix G. H Appendix H. I List of Marshall s equations and notation. I.1 Equations. I.2 Notation.