Computational Functional Analysis
Autor Ramon E Moore, Michael J. Clouden Limba Engleză Paperback – 31 mai 2007
- Contains 100 problem-exercises, answers and tutorial hints for students reading applied functional analysis
- Introduces interval analysis into the mainstream of computational functional analysis
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Specificații
ISBN-13: 9781904275244
ISBN-10: 1904275249
Pagini: 212
Dimensiuni: 160 x 234 x 10 mm
Greutate: 0.3 kg
Ediția:Revised
Editura: ELSEVIER SCIENCE
ISBN-10: 1904275249
Pagini: 212
Dimensiuni: 160 x 234 x 10 mm
Greutate: 0.3 kg
Ediția:Revised
Editura: ELSEVIER SCIENCE
Cuprins
- Preface
- Acknowledgements
- Notation
- 1: Introduction
- 2: Linear spaces
- 3: Topological spaces
- 4: Metric spaces
- 5: Normed linear spaces and Banach spaces
- 6: Inner product spaces and Hilbert spaces
- 7: Linear functionals
- 8: Types of convergence in function spaces
- 9: Reproducing kernel Hilbert spaces
- 10: Order relations in function spaces
- 11:
Operators
in
function
spaces
- Neumann series
- Adjoint operators
- 12: Completely continuous (compact) operators
- 13: Approximation methods for linear operator equations
- 14: Interval methods for operator equations
- 15: Contraction mappings and iterative methods for operator equations in fixed point form
- 16: Fréchet derivatives
- 17: Newton’s method in Banach spaces
- 18:
Variants
of
Newton’s
method
- Numerical examples
- 19:
Homotopy
and
continuation
methods
- Davidenko’s method
- Computational aspects
- 20: A hybrid method for a free boundary problem
- Hints for selected exercises
- Further reading
- Index
Recenzii
A
stimulating
and
challenging
introduction,
(Review
of
the
first
edition)
SIAM
Review,
USA,
(William
W.
Hager,
Pennsylvania
State
University).
A very readable introduction, excellent., The Mathematical Gazette
A very readable introduction, excellent., The Mathematical Gazette