Quantum Waveguides This monograph explains the theory of quantum waveguides that is dynamics of quantum particles confined to regions in the form of tubes layers networks etc. The focus is on relations between the confinement geometry on the one hand and the spectral and scattering properties of the corresponding quantum Hamiltonians on the other. Perturbations of such operators in particular by external fields are also considered. The volume provides a unique summary of twenty five years of research activity in this area and indicates ways in which the theory can develop further. The book is fairly self contained. While it requires some broader mathematical physics background all the basic concepts are properly explained and proofs of most theorems are given in detail so there is no need for additional sources. Without a parallel in the literature the monograph by Exner and Kovarik guides the reader through this new and exciting field