This course aims to acquaint students with the fundamental notions of Normed and Inner Product Spaces including Normed linear spaces, linear subspaces, infinite series, convex sets, linear functionals, finite-dimensional spaces, dual space and second dual space, weak convergence, inner product spaces, orthogonal complements, Fourier series, Riesz representation theorem

Normed linear spaces, linear subspaces, infinite series, convex sets, linear functionals, finite-dimensional spaces, dual space and second dual space, weak convergence, inner product spaces, orthogonal complements, Fourier series, Riesz representation theorem