This book 'Integral And Functional Analysis' is based on two closely-related courses:(a) Integration and Metric Spaces; (b) Functional Analysis, which have been offered over the past four years at Memorial University of Newfoundland (MUN). Though the contents of Functional Analysis have been used for both an undergraduate course and an introductory graduate course, this text is designed primarily for the undergraduate students. It is assumed that students have some familiarity with Introductory Calculus and Linear Algebra plus the basic (direct, indirect) proof methods.