This book deals with the mathematical properties of dimensioned
quantities, such as length, mass, voltage, and viscosity.
Beginning with a careful examination of how one expresses the numerical
results of a measurement and uses these results in subsequent
manipulations, the author rigorously constructs the notion of
dimensioned numbers and discusses their algebraic structure. The result
is a unification of linear algebra and traditional dimensional analysis
that can be extended from the scalars to which the traditional analysis
is perforce restricted to multidimensional vectors of the sort
frequently encountered in engineering, systems theory, economics, and
other applications.