This book is new because emphasis is placed on the aspect that the statistical laws in turbulence are not disconnected with the coherent structures distributing randomly in space and forming/decaying spontaneously in time, and that the anomalous scaling laws of a passive scalar in turbulence are captured from the first principle. Existence of such coherences in the stochastic processes of turbulence leads to the intermittency and also non-Gaussian statistics. Details of the geometrical structures are investigated how they are described in terms of vortices of shear layers. The current state of the art is presented in this book for graduate- and advanced-level students, by scientists working in the frontier of diverse areas of turbulence study theoretically, computationally, and experimentally, centered at the subject Structure and Statistics.