A First Course in Functional Analysis: Theory and Applications
β Scribed by Sen R.
- Publisher
- Anthem Press
- Year
- 2013
- Tongue
- English
- Leaves
- 487
- Category
- Library
No coin nor oath required. For personal study only.
β¦ 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. Π²ΠΒA First Course in Functional AnalysisΠ²Πβ’ 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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A concise introduction to the major concepts of functional analysis Requiring only a preliminary knowledge of elementary linear algebra and real analysis, A First Course in Functional Analysis provides an introduction to the basic principles and practical applications of functional analysis. Key co