Q. Why should (a) engineers, (b) physicists, (c)
take Math 5451?
A. Math 5451 occupies a
and natural role in
the engineering arts, in physics, in mathematics,
(a) In the engineering arts optimization
processes on infinite dimensional parameter spaces and their
dimensional approximations, open new conceptual vistas
which would remain inaccessible
within the framework of finite-dimensional calculus.
(b) In physics Math
among others, very powerful extremum principles. By cutting across
aspects of nature, these principles allow, for example, a
of classical and wave mechanics
single perspective and with respect to any coordinate frame.
(c) For mathematics Math 5451 provides a
natural connecting link between theoretical
analysis, differential geometry, etc.) and its foundational roots in
classical and wave mechanics, covariant differentiation, etc.)