622
B Review of Traditional Calculus
of the xy-plane, and it is assumed that the inverse functions u = u(x, y), v = v(x, y)
are defined and continuous in R xy , so that the correspondence between R xy and R uv
is one-to-one. It is also assumed that the Jacobian is either positive throughout R uv
or negative throughout R uv .
B Review of Traditional Calculus
of the xy-plane, and it is assumed that the inverse functions u = u(x, y), v = v(x, y)
are defined and continuous in R xy , so that the correspondence between R xy and R uv
is one-to-one. It is also assumed that the Jacobian is either positive throughout R uv
or negative throughout R uv .