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Functional Analysis and Applications
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Catalogue Information
Field name
Details
Dewey Class
515.7
Title
Functional Analysis and Applications ([EBook]) / by Abul Hasan Siddiqi.
Author
Siddiqi, Abul Hasan
Other name(s)
SpringerLink (Online service)
Publication
Singapore : : Springer Singapore : : Imprint: Springer, , 2018.
Physical Details
XVII, 562 p. 23 illus. : online resource.
Series
Industrial and Applied Mathematics
2364-6837
ISBN
9789811037252
Summary Note
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.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-981-10-3725-2
Links to Related Works
Subject References:
Algorithms
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Functional Analysis
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Mathematical Modeling and Industrial Mathematics
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Mathematical models
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Mathematical optimization
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Mathematics
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Operator Theory
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Optimization
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Partial differential equations
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Authors:
Siddiqi, Abul Hasan
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Corporate Authors:
SpringerLink (Online service)
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Series:
Industrial and Applied Mathematics
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Classification:
515.7
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