The author (typically associated with the deep academic work from the 1990s/2000s on this topic) builds the entire theory from the ground up using vector notation. You will start with the general theory of electrical machines, then systematically derive the transformations (Clarke, Park) that make control possible.
It demonstrates how various machine models (like the matrix model of generalized machine theory) can be derived from the simpler space-vector model without needing complex matrix transformations. The author (typically associated with the deep academic
: Provides the deep theoretical understanding needed for simulating and designing advanced control strategies like Field-Oriented Control (FOC) and Direct Torque Control (DTC). then systematically derive the transformations (Clarke