Spectral geometry deals with the survey of these natural, differential operators' spectrums and among other things it tries to emphasize geometrical and topological properties of a manifold that can be recuperated from the spectrums. The present work is going to approach several issues referring to the spectrums of Hodge-de Rham operators on closed Riemannian manifolds. The author of this paper is going to discuss the continuous dependence on the Riemannian metrics on a smooth and closed differential manifold of the eigenvalues of the Hodge-de Rham operators and its restrictions regarding the...