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Functional analysis and applications

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Functional analysis and applications/ by Abul Hasan Siddiqi.
Author:	Siddiqi, Abul Hasan.
Published:	Singapore :Springer Singapore : : 2018.,
Description:	xvii, 562 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Functional analysis. -
Online resource:	http://dx.doi.org/10.1007/978-981-10-3725-2
ISBN:	9789811037252

Functional analysis and applications
Siddiqi, Abul Hasan.

Functional analysis and applications[electronic resource] /by Abul Hasan Siddiqi. - Singapore :Springer Singapore :2018. - xvii, 562 p. :ill., digital ;24 cm. - Industrial and applied mathematics,2364-6837. - Industrial and applied mathematics..

Metric Spaces and Banach Fixed Point Theorem -- Banach Spaces -- Hilbert Space -- Fundamental Theorems -- Differential and Integral Calculus in Banach Spaces -- Optimisation Problems -- Operator Equations and Variational Methods -- Finite Element and Boundary Element Methods -- Variational Inequalities and Applications -- Spectral Theory with Application -- Frame and Basis Theory in Hilbert Spaces -- Wavelet Theory -- Wavelet Method for Partial Dierential Equations and Image Processing -- Wavelet Frames -- Gabor Analysis.

This self-contained textbook discusses all major topics in functional analysis. Combining classical materials with new methods, it supplies numerous relevant solved examples and problems and discusses the applications of functional analysis in diverse fields. The book is unique in its scope, and a variety of applications of functional analysis and operator-theoretic methods are devoted to each area of application. Each chapter includes a set of problems, some of which are routine and elementary, and some of which are more advanced. The book is primarily intended as a textbook for graduate and advanced undergraduate students in applied mathematics and engineering. It offers several attractive features making it ideally suited for courses on functional analysis intended to provide a basic introduction to the subject and the impact of functional analysis on applied and computational mathematics, nonlinear functional analysis and optimization. It introduces emerging topics like wavelets, Gabor system, inverse problems and application to signal and image processing.

ISBN: 9789811037252

Standard No.: 10.1007/978-981-10-3725-2doiSubjects--Topical Terms:

527706
Functional analysis.

LC Class. No.: QA320 / .S533 2018

Dewey Class. No.: 515.7

Functional analysis and applications
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490 1 $a Industrial and applied mathematics, $x 2364-6837
505 0 $a Metric Spaces and Banach Fixed Point Theorem -- Banach Spaces -- Hilbert Space -- Fundamental Theorems -- Differential and Integral Calculus in Banach Spaces -- Optimisation Problems -- Operator Equations and Variational Methods -- Finite Element and Boundary Element Methods -- Variational Inequalities and Applications -- Spectral Theory with Application -- Frame and Basis Theory in Hilbert Spaces -- Wavelet Theory -- Wavelet Method for Partial Dierential Equations and Image Processing -- Wavelet Frames -- Gabor Analysis.
520 $a This self-contained textbook discusses all major topics in functional analysis. Combining classical materials with new methods, it supplies numerous relevant solved examples and problems and discusses the applications of functional analysis in diverse fields. The book is unique in its scope, and a variety of applications of functional analysis and operator-theoretic methods are devoted to each area of application. Each chapter includes a set of problems, some of which are routine and elementary, and some of which are more advanced. The book is primarily intended as a textbook for graduate and advanced undergraduate students in applied mathematics and engineering. It offers several attractive features making it ideally suited for courses on functional analysis intended to provide a basic introduction to the subject and the impact of functional analysis on applied and computational mathematics, nonlinear functional analysis and optimization. It introduces emerging topics like wavelets, Gabor system, inverse problems and application to signal and image processing.
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650 2 4 $a Optimization. $3 669174
650 2 4 $a Operator Theory. $3 672127
650 2 4 $a Partial Differential Equations. $3 671119
650 2 4 $a Algorithms. $3 527865
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830 0 $a Industrial and applied mathematics. $3 1070535
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