Description

Book Synopsis
This book is intended for those having only a moderate background in mathematics, who need to increase their mathematical knowledge for development in their areas of work and to read the related mathematical literature. The material covered, which includes practically all the information on functional analysis that may be necessary for those working in various areas of applications of mathematics, as well as the simplicity of presentation, differentiates this book from others. About 300 examples and more than 500 problems are provided to help readers understand and master the theories presented. The list of references enables readers to explore those topics in which they are interested, and gather further information about applications used as examples in the book.Applications: Probability Theory and Statistics, Signal and Image Processing, Systems Analysis and Design.

Table of Contents
Sets, spaces and functions; measure theory; integrals; topological spaces; spaces of operators and functionals; linear operators; linear operators in Hilbert spaces; spectral theory of linear operators; nonlinear problems of functional analysis; elements of approximate methods in abstract spaces.

Lectures On Functional Analysis And Applications

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    A Hardback by V S Pugachev, Igor Sinitsyn

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      Book details

      Publisher World Scientific Publishing Co Pte Ltd
      Published 6 July 1999
      ISBN-13 9789810237226
      978-9810237226
      ISBN-10 9810237227

      Description

      Book Synopsis
      This book is intended for those having only a moderate background in mathematics, who need to increase their mathematical knowledge for development in their areas of work and to read the related mathematical literature. The material covered, which includes practically all the information on functional analysis that may be necessary for those working in various areas of applications of mathematics, as well as the simplicity of presentation, differentiates this book from others. About 300 examples and more than 500 problems are provided to help readers understand and master the theories presented. The list of references enables readers to explore those topics in which they are interested, and gather further information about applications used as examples in the book.Applications: Probability Theory and Statistics, Signal and Image Processing, Systems Analysis and Design.

      Table of Contents
      Sets, spaces and functions; measure theory; integrals; topological spaces; spaces of operators and functionals; linear operators; linear operators in Hilbert spaces; spectral theory of linear operators; nonlinear problems of functional analysis; elements of approximate methods in abstract spaces.

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