chapter 1 Introduction to Magnetohydrodynamic Equations -- chapter 2 Introduction to Finite Difference Equations -- chapter 3 Finite Difference Methods for Elliptic Equations -- chapter 4 Plasma Equilibrium -- chapter 5 Magnetic Flux Coordinates in a Torus -- chapter 6 Diffusion and Transport in Axisymmetric Geometry -- chapter 7 Numerical Methods for Parabolic Equations -- chapter 8 Methods of Ideal MHD Stability Analysis -- chapter 9 Numerical Methods for Hyperbolic Equations -- chapter 10 Spectral Methods for Initial Value Problems -- chapter 11 The Finite Element Method.