This book contains the Proceedings of the International Symposium on Infinite Dimensional Holomorphy held at the Uni-versidade Estadual de Campinas, Brazil, during August 4-8,1975. It contains twenty five original research articles corresponding to the lectures given at the Symposium and some papers by invited lecturers who could not attend the meeting for one reason or another. The articles include complete proofs and they cover the current most active research lines of Inifinite Dimensional Holonorphy and its applications.