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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.
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.
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