The last decade has been marked by substantial advamces in understanding of the role and properties of astrophysical turbulent magnetic fields. This has induced substancial paradigm shifts for the problem of cosmic ray propagation and acceleration. This book introduces to the reader the mordern understanding of magnetohydrodynamic (MHD) turbulence and describes how the advances in MHD turbulence theory affect the key aspects of particle acceleration and transport in astrophysical environments. The book presents the implications of the improved treatment of cosmic ray dynamics for...