Basics of Functional Analysis

BASICS OF FUNCTIONAL ANALYSIS provides well-balanced introduction to functional analysis, constantly motivated by applications which make clear not only how but why the field developed. It gives fundamental concepts about the theory, application and various methods involving functional analysis for students, teachers, scientists and engineers. HIGHLIGHTS: * This book is intended to serve as a text book for an introductory course in functional analysis for the senior undergraduate and graduate students. * It can also be useful for the senior students of applied mathematics, statistics, operations research, engineering and theoretical physics. * The aim of this book is to make connection and describe them from the viewpoint of functional analysis. * The subject is exposed systematically and students are better prepared to solve the problems. * Interesting exercises and problems illustrated in this book. KEY FEATURES: * Presentation of the subject in a natural way. * Description of the concepts with justification. * Clear and precise exposition avoiding pedantry. * Various examples and counter examples * Graded problems throughout each chapter * Notes and remarks within the text enhances the utility of the book for the students.