Part I. Fundamentals. Introduction -- Shannon's Measure of Information -- Application of SMI to systems of non-interacting particles -- Part II. Applications. Thermodynamics of ideal gases -- Systems of adsorbed non-interacting ligands -- Cooperativity in binding processes -- One-dimensional lattice models -- Theory of a one-dimensional pure and simple fluid -- Theory of 1D dimensional mixtures -- A study of water and aqueous solutions in 1D.