This introductory text is the first book about quantum principal bundles and their quantum
connections which are natural generalizations to non-commutative geometry of principal bundles
and their connections in differential geometry. To make for a more self-contained book there is
also much background material on Hopf algebras (covariant) differential calculi braid groups
and compatible conjugation operations. The approach is slow paced and intuitive in order to
provide researchers and students in both mathematics and physics ready access to the material.