It was once believed that magnetic ordering and superconductivity are mutually exclusive due to Meissner effect. Recent discovery of iron pnictide superconductors served well to experimentally challenge that view. Even prior to this discovery, theoretical work suggested that such "unconventional" superconducting materials should exist in which multi-component nature of the order parameter opens up possibility for exotic pairing states, and even magnetic ordering. The book in your hands recaps the theoretical findings of Dr. V. Barzykin and V. Kuznetsova, and offers experimental testing of the developed theory on the example of a non-centrosymmertic superconductor Re3W.