We give a systematic account of a ''component approach'' to the algebr
a of forms on q-Minkowski space, introducing the corresponding exterio
r derivative, Hedge star operator, coderivative, Laplace-Beltrami oper
ator and Lie-derivative. Using this (braided) differential geometry, w
e then give a detailed exposition of the q-d'Alembert and q-Maxwell eq
uation and discuss same of their non-trivial properties, such as for i
nstance, plane wave solutions. For the q-Maxwell field, we also give a
q-spinor analysis of the q-field strength tensor.