Part 1 Preliminaries: the sunspot story - black spots on a shining disk, the golden century; the flow of concepts - the foundations - Zollner's flow and Lebedinski's anisotropy, the mean-field concept - Eddy Viscosity and the A-effect, instability theory - cconvection and rotation, determination of A - plane layer and oblique rotation; current observations - convective modes, rotation laws, horizontal cross-correlation meridional flow - mean temperature, temporal variations; transporters of angular momentum - the conservation law, viscosity, meridional flow - Lorentz force, the main transporter - Reynolds stress, turbulence, turbulent angular momentum transport (TMT), structure of the A-effect, boundary conditions. Part 2 Macroscopy: meridional circulation and differential rotation - slow flow, fast flow, sources of meridional circulation; the A-effect and differential rotation - the fundamental A-mode, the higher A-modes, the thin-shell approximation, the thick shell approximation, conclusions; anisotropic viscosity and differential rotation - on the Wasiutynski-Kippenhahn theory, negative viscosity?, diffusive contributions to the turbulent momentum transport; energy transport in rotating turbulence - screening effects, energy transport, the temperature equation; the Pole-Equator temperature difference - the simplest model, two-shell model with constant but different densities; a complete model - the zero-order equations, rotation equations; differential rotation, meridional circulation and Pole-Equator temperature difference - results - a simple model, moderately inhomogeneous models, models in which V(1)...HV(1) decrease strongly, a new instability for fast rotation?; Lorentz force and differential rotation - introduction, toroidal Lorentz force and dynamo models, hydrodynamics with Lorentz force, preliminary numerical results. Part 3 Microscopy: turbulence models - the correlation tensor, the spectral tensor, spectral functions; theory of the A-effect - the spectral tensor for rotating turbulence, the two parts of the correlation tensor, the fundamental mode of A, stratified medium with isotropic forces; the higher modes of A - axisymmetric turbulence, non-axisymmetric turbulence, another approach, the TMT modes required; the theory of Eddy viscosity - the viscosity terms, determination of the viscosity tensor, Eddy viscosities of simple turbulences; the theory of Eddy conductivity - the Eddy conductivity tensor, the scalar Eddy conductivity, the turbulent Prandtl number, the simplest approximation for rotating turbulence.
