A First Course in Functional Analysis: Theory and Applications
Author:   Rabindranath Sen
Publisher:   Anthem Press
ISBN:  

9789380601182


Pages:   550
Publication Date:   15 December 2012
Format:   Hardback
Availability:   Not yet available   Availability explained
This item is yet to be released. You can pre-order this item and we will dispatch it to you upon its release.

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A First Course in Functional Analysis: Theory and Applications


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Overview

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.

Full Product Details

Author:   Rabindranath Sen
Publisher:   Anthem Press
Imprint:   Anthem Press India
Dimensions:   Width: 15.20cm , Height: 3.80cm , Length: 22.90cm
Weight:   0.681kg
ISBN:  

9789380601182


ISBN 10:   9380601182
Pages:   550
Publication Date:   15 December 2012
Audience:   College/higher education ,  Tertiary & Higher Education
Format:   Hardback
Publisher's Status:   Out of Print
Availability:   Not yet available   Availability explained
This item is yet to be released. You can pre-order this item and we will dispatch it to you upon its release.

Table of Contents

I. Preliminaries; II. Normed Linear Space; III. Hilbert Space; IV. Linear Operators; V. Linear Functionals; VI. Space of Bounded Linear Functionals; VII. Closed Graph Theorem and its Consequences; VIII. Compact Operators on Normed Linear Spaces; IX. Elements of Spectral Theory of Self-Adjoint Operators in Hilbert Spaces; X. Measure and Integration Lp Spaces; XI. Unbounded Linear Operators; XII. The Hahn-Banach Theorem and Optimisation Problems; XIII. Variational Problems; XIV. The Wavelet Analysis; XV. The Dynamical System

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Author Information

Rabindranath Sen is a retired professor and former head of the Department of Applied Mathematics at the University of Calcutta.

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