This volume contains the proceedings of the Eighth Taniguchi Interna- tional Symposium on the Theory of Condensed Matter which was held at Shima Kanko Hotel in Shima Japan 10-13 April 1985. The topic of the Symposium was Valence Fluctuation and Heavy Fermion Systems one of the most fundamental problems in present-day condensed matter physics. The dilute Kondo problem which is one of the most typical and unique many-body problems in condensed matter physics developed recently into the dense Kondo and the coherent Kondo lattice problems in the 4f elec- tron systems. It is accepted now that a large degeneracy in f-electron systems makes this latter situation possible by enhancing the single-site Kondo state relative to the inter-site magnetic interactions. Now anoma- lous behavior in f-electron systems show rich variety and are called valence fluctuation phenomena as a whole. They have however a common fea- ture. In the lowest temperature region they show either heavy Fermion- like character or a narrow gap formation at the Fermi energy. Discovery of superconductivity in the heavy Fermion systems is attracting more in- terest. Anyway the valence fluctuating states are thought to be of fun- damental importance to bridge the gap between the localized magnetic states and the delocalized nownagnetic states.