This first chapter begins with an introduction to BFMC , covering basic systemic definitions and nature of friction material composites applied to automotive braking systems. The rudimentary aspects of friction material composite with their definitions based on polymeric, metallic, and multiple matrix with some of the issues at the interphases are discussed to give an account of the fundamentals. AFM (Atomic Force Microscopy), FIM (Field Ion Microscope), and MD (Molecular Dynamics) observations, a study of size of the asperity in situ and a transition from “Microscopic Single Atom” friction to “Macroscopic” friction are also discussed. Independence of the coefficient of friction from weight and velocity, based on the governing factors of frictional force and molecular forces , are explained. An account of what exactly happens in a frictional contact surface as a heat affected film or layer is explained in this chapter. Relationships between the aperiodic atomic structure of quasicrystals and their effect on lowering friction, for both elastic and inelastic regimes, are brought to the limelight with their effect on crystallographic planes of contact. The significance of quasicrystals, in the future research, applied to brake friction material composites and their usefulness are explained in brief. Essential virtues of BFMC with its theoretical considerations of static, kinetic-coefficiency are highlighted. Further, hot and cold compressibility measurements in BFMC, low- and high-speed judder characteristics and its relation to noise, and its role in static and dynamic coefficiency are explained. Basic information on the science of noise as applied to braking contact and its possible elimination sequence with matrix alteration will find a useful input in the introductory chapter.