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 contribution to numerical analysis for operator equations, it introduces interval analysis into the mainstream of computational functional analysis, and discusses the elegant techniques for reproduc…
Read More ↓Title Statements
- Full title :Computational functional analysis / Ramon E. Moore, Michael J. Cloud.
Summary
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.
Read More ↓Edition Statements
- Publication Date:2007.
- Edition:2nd ed
Publication Statements
- Publisher(s):Horwood Pub
- Place of Publication:Chichester, UK [England]
- Language:eng
- Publication Date:2007.
Notes
Titre de l'écran-titre (visionné le 16 janvier 2013).
The Physical Object
- Description:1 online resource (1 texte électronique (180 p.)) : : illustrations, fichiers PDF.
Edition Identifiers
- ISBN:1613448120, 9781613448120, 9780857099433, 0857099434
- oclc:ocn842343666
- LC Classification:QA320
- Dewey Decimal:515.7
Table of Contents
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.
Read More ↓
Rate & Review