A First Course in Functional Analysis Theory and Applications
A First Course in Functional Analysis Theory and Applications by Rabindranath Sen is a reprint edition published by Anthem Press on November 1, 2014. This comprehensive text, spanning 486 pages, offers an introduction to functional analysis, covering essential topics such as normed linear and Hilbert spaces, the Hahn-Banach theorem, and linear operator theory. The book aims to clarify the motivations behind these theories and presents various applications that demonstrate their practical use.
Readers will find detailed explanations of key concepts in functional analysis, alongside applications in areas like optimal control theory, variational problems, wavelet analysis, and dynamical systems. This edition serves as a valuable resource for students of mathematics and related fields, including applied mathematics, physics, statistics, and engineering. The structured approach and thorough coverage make it a useful reference for those looking to deepen their understanding of functional analysis.
Official synopsis Publisher
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.
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