A First Course in Functional Analysis: Theory and Applications [2...

Title: A First Course in Functional Analysis: Theory and Applications
Author: Rabindranath Sen
Format: PDF
Hardcover: 486 pages
Publisher: Anthem Press (February 1, 2013)
Language: English
ISBN: 978-0857283207


This book provides the reader with a comprehensive introduction to functional analysis. Topics include normed linear and Hilbert spaces, the Hahn-Banach theorem, the closed graph theorem, the open mapping theorem, linear operator theory, the spectral theory, and a brief introduction to the Lebesgue measure. The book explains the motivation for the development of these theories, and applications that illustrate the theories in action. Applications in optimal control theory, variational problems, wavelet analysis and dynamical systems are also highlighted. ‘A First Course in Functional Analysis’ will serve as a ready reference to students not only of mathematics, but also of allied subjects in applied mathematics, physics, statistics and engineering.