Magnetic fields of axially symmetrical magnetic systems used for generation of the strong fields (methods of calculation, assessment of the edge effects) -- Calculating formulae and results of numerical estimations of parameters of the field for typical single-turn magnets -- Field diffusion into the conductors and their heating -- Matching of the parameters of solenoids and power supply sources -- Electromagnetic forces and mechanical stresses in multi-turns solenoids. The optimization of multi-layered windings -- Strong magnetic fields generations in multi-turn magnets -- Solenoids with quazi force-free winding -- Generation of strong pulsed magnetic fields in single-turn magnets. Magnetic systems for the formation of pulsed loads -- Generation of ultra high magnetic fields in destructive sungle-turn magnets -- Magnetic cumulation.