Computational functional analysis

This course text fills a gap for first-year graduate-level students reading applied functional analysis or advanced engineering analysis and modern control theory. Containing 100 problem-exercises, answers, and tutorial hints, the first edition is often cited as a standard reference. Making a unique...

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Bibliographic Details
Main Author Moore, Ramon E.
Format Electronic eBook
LanguageEnglish
Published Chichester, UK [England] : Horwood Pub., 2007.
Edition2nd ed.
SeriesEllis Horwood series in mathematics and its applications.
Subjects
Functional analysis.
elektronické knihy
electronic books
Online AccessPlný text

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MARC

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245 1 0 |a Computational functional analysis  |h [elektronický zdroj] /  |c Ramon E. Moore, Michael J. Cloud. 
250 |a 2nd ed. 
260 |a Chichester, UK [England] :  |b Horwood Pub.,  |c 2007. 
300 |a 1 online zdroj (180 p.) :  |b ill. 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Ellis Horwood series in mathematics and its applications 
504 |a Includes bibliographical references (p. [173]-176) and index. 
505 0 |a Linear spaces -- Topological spaces -- Metric spaces -- Normed linear spaces and Banach spaces -- Inner product spaces and Hilbert spaces -- Linear functionals -- Types of convergence in function spaces -- Reproducing Kernel Hilbert spaces -- Order relations in function spaces -- Operators in function spaces -- Completely continuous (compact) operators -- Approximation methods for linear operator equations -- Interval methods for operator equations -- Contraction mappings and iterative methods -- Fréchet derivatives -- Newton's method in Banach spaces -- Variants of Newton's method -- Homotopy and continuation methods -- A hybrid method for a free boundary problem. 
520 |a This course text fills a gap for first-year graduate-level students reading applied functional analysis or advanced engineering analysis and modern control theory. Containing 100 problem-exercises, answers, and tutorial hints, the first edition is often cited as a standard reference. Making a unique contribution to numerical analysis for operator equations, it introduces interval analysis into the mainstream of computational functional analysis, and discusses the elegant techniques for reproducing Kernel Hilbert spaces. There is discussion of a successful ''hybrid'' method for difficult real-life problems, with a balance between coverage of linear and non-linear operator equations. The authors successful teaching philosophy: ''We learn by doing'' is reflected throughout the book. Contains 100 problem-exercises, answers and tutorial hints for students reading applied functional analysisIntroduces interval analysis into the mainstream of computational functional analysis. 
590 |a Knovel Library  |b ACADEMIC - General Engineering & Project Administration 
506 |a Plný text je dostupný pouze z IP adres počítačů Univerzity Tomáše Bati ve Zlíně nebo vzdáleným přístupem pro zaměstnance a studenty univerzity 
650 0 |a Functional analysis. 
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776 0 8 |i Print version:  |a Moore, Ramon E.  |t Computational functional analysis.  |b 2nd ed.  |d Chichester, UK [England] : Horwood Pub., 2007  |z 1904275249  |w (DLC) 2007275925  |w (OCoLC)85828485 
830 0 |a Ellis Horwood series in mathematics and its applications. 
856 4 0 |u https://proxy.k.utb.cz/login?url=http://app.knovel.com/hotlink/toc/id:kpCFAE000N/computational_functional_analysis_2nd_edition  |y Plný text 
992 |a BK  |c KNOVEL 
999 |c 79838  |d 79838 

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