ABSTRACT
Synopsis: The mathematics behind the deceptively simple ideas encountered in the spin measurements from the first chapter is further developed. Technically, we limit ourselves to finite dimensional Hilbert spaces, although exceptions are pointed out along the way. The operator/matrix analogy is developed, and important physical and mathematical concepts are defined and refined. These concepts include operator compatibility, uncertainty relations, and unitary transformations. Unitary transformations are applied to coordinate transformations and used to develop the Heisenberg time-development picture in quantum mechanics.
