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This volume is not only intended for mathematicians who deal with applications of functional analysis, but also for those having only a moderate background in mathematics in their areas of work.
The materials covered, which includes practically all the information on functional analysis that may be necessary for those working in various areas of mathematics applications, as well as the simplicity of presentation, differentiates this book from others. The method and style of presentation of materials make it digestible and easily understood by readers.
This second edition includes new and updated 300 examples and more than 500 problems to help readers understand and master the theories presented. In addition, necessary improvements for bringing the contents more up to date with current fundamental and applied developments in Chapters 1–10 were made. Now, Chapter 9 covers nonlinear and stochastic problems and Chapter 10, devoted to elements of numerical functional analysis, has been completely revised and broadened.
Contents:
- Preface to the Second Edition
- Preface to the First Edition
- Sets. Spaces. Functions
- Measure Theory
- Integrals
- Topological Spaces
- Spaces of Operators and Functionals
- Linear Operators
- Linear Operators in Hilbert Spaces
- Spectral Theory of Linear Operators
- Nonlinear and Stochastic Problems of Functional Analysis
- Elements of Numerical Functional Analysis
- Appendices, Bibliographical Notes
Readership: Undergraduate and graduate students as well as researchers in applied mathematics, and engineers.
