Abstract:
This Report 'Lectures on Preliminaries to Functional Analysis', consists of 6 chapters. Chapter 1 gives an introduction about semi-metric, and metric spaces. Some examples, Comparison, Congruences, Equivalence classes and partition are discussed. In Chapter 2, Metric Topology and completion of metric spaces are discussed. Continuity and general topological spaces are explained in the Third Chapter. Chapter 4 details about Monoids, groups and morphisms. Endomorphisms of Abelian groups, Homomorphic images of a ring are discussed in Chapter 5. Sixth Chapter discusses on Modules and Vector spaces.
