Paperback. 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. A comprehensive introduction to functional analysis, starting from the fundamentals and extending into theory and applications across multiple disciplines. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

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Bibliographic Details

Title: A First Course in Functional Analysis (Paperback)
Publisher: Anthem Press, London
Publication Date: 2014
Language: English
ISBN 10: 1783083247
ISBN 13: 9781783083244
Binding: Paperback
Condition: new

About this title

Synopsis

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.

About the Author

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

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