Foundations of Functional Analysis provides fundamental concepts about the theory, application and various methods involving functional analysis for students, teachers, scientists and engineers. Divided into three parts it covers: ¨ Basic facts of linear algebra and real analysis ¨ Normed spaces, contraction mappings, linear operators between normed spaces and fundamental results on these topics. ¨ Hilbert spaces and the representation of continuous linear function with applications. In this self-contained book, all the concepts, results and their consequences are motivated and illustrated by numerous examples in each chapter with carefully chosen exercises.

I: Basic Analysis: Analysis and Linear Algebra / Concepts in Metric Spaces / II: Banach Spaces: Normed Spaces / Contraction Mappings and Applications / Linear Operators in Normed Spaces / III: Hilbert Spaces: Inner Product Spaces / Representation of Linear Functional Fourier Analysis and Applications / Bibliography / Index

Sudents, Teachers, Scientists and Engineers