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Suhubi, Erdogan S.:
Functional Analysis - pocketboek

2010

ISBN: 9789048164196

Paperback, New., 691 p. XI, 691 p. Intended for professional and scholarly audience., Dordrecht, [PU: Springer]

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E. Suhubi:
Functional Analysis - pocketboek

2010, ISBN: 9789048164196

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Functional Analysis - pocketboek

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Functional Analysis

Functional Analysis is primarily concerned with the structure of infinite dimensional vector spaces and the transformations, which are frequently called operators, between such spaces. The elements of these vector spaces are usually functions with certain properties, which map one set into another. Functional analysis became one of the success stories of mathematics in the 20th century, in the search for generality and unification.

Gedetalleerde informatie over het boek. - Functional Analysis


EAN (ISBN-13): 9789048164196
ISBN (ISBN-10): 9048164192
Gebonden uitgave
pocket book
Verschijningsjaar: 2010
Uitgever: Springer
704 Bladzijden
Gewicht: 1,046 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2012-05-03T13:23:07+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2021-05-14T14:07:45+02:00 (Amsterdam)
ISBN/EAN: 9789048164196

ISBN - alternatieve schrijfwijzen:
90-481-6419-2, 978-90-481-6419-6


Gegevens van de uitgever

Auteur: E. Suhubi
Titel: Functional Analysis
Uitgeverij: Springer; Springer Netherland
691 Bladzijden
Verschijningsjaar: 2010-12-01
Dordrecht; NL
Gedrukt / Gemaakt in
Gewicht: 1,068 kg
Taal: Engels
117,69 € (DE)
120,99 € (AT)
130,00 CHF (CH)
POD

BC; Previously published in hardcover; Hardcover, Softcover / Mathematik/Analysis; Funktionalanalysis und Abwandlungen; Compact operator; Hilbert space; functional analysis; integration; linear optimization; materials; C; Functional Analysis; Classical Mechanics; Calculus of Variations and Optimal Control; Optimization; Economic Theory/Quantitative Economics/Mathematical Methods; Solid Mechanics; Functional Analysis; Classical Mechanics; Calculus of Variations and Optimization; Quantitative Economics; Solid Mechanics; Mathematics and Statistics; Klassische Mechanik; Variationsrechnung; Optimierung; Wirtschaftstheorie und -philosophie; Maschinenbau: Festkörpermechanik; BB; BC

Preface. I: Preliminaries. 1.1. Scope of the Chapter. 1.2. Sets. 1.3. Set Operations. 1.4. Cartesian Product. Relations. 1.5. Functions. 1.6. Inverse Functions. 1.7. Partial Ordering. 1.8. Equivalence Reaction. 1.9. Operations on Sets. 1.10. Cardinality of Sets. 1.11. Abstract Mathematical Systems. 1.12. Various Abstract Systems. Exercises. II: Linear Vector Spaces. 2.1. Scope of the Chapter. 2.2. Linear Vector Spaces. 2.3. Subspaces. 2.4. Linear Independence and Dependence. 2.5. Basis and Dimension. 2.6. Tensor Product of Linear Spaces. 2.7. Linear Transformations. 2.8. Matrix Representations of Linear Transformations. 2.9. Equivalent and Similar Linear Transformations. 2.10. Linear Functionals. Algebraic Dual. 2.11. Linear Equations. 2.12. Eigenvalues and Eigenvectors. Exercises. III: Introduction to Real Analysis. 3.1. Scope of the Chapter. 3.2. Properties of Sets of Real Numbers. 3.3. Compactness. 3.4. Sequences. 3.5. Limit and Continuity in Functions. 3.6. Differentiation and Integration. 3.7. Measure of a Set. Lesbegue Integral. Exercises. IV: Topological Spaces. 4.1. Scope of the Chapter. 4.2. Topological Structure. 4.3. Bases and Subbases. 4.4. Some Topological Concepts. 4.5. Numerical Functions. 4.6. Topological Vector Spaces. Exercises. V: Metric Spaces. 5.1. Scope of the Chapter. 5.2. The Metric and the Metric Topology. 5.3. Various Metric Spaces. 5.4. Topological Properties of Metric Spaces. 5.5. Compactness of Metric Spaces. 5.6. Contraction Mappings. 5.7. Compact Metric Spaces. 5.8. Approximation. 5.9. The Space of Fractals. Exercises. VI: Normed Spaces. 6.1. Scope of the Chapter. 6.2. Normed Spaces. 6.3. Semi-Norms. 6.4. Series of Vectors. 6.5. Bounded Linear Operators. 6.6. Equivalent Normed Spaces. 6.7. Bounded Below Operators. 6.8. Continuous Linear Functionals. 6.9. Topological Dual. 6.10. Strong and Weak Topologies. 6.11. Compact Operators. 6.12. Closed Operators. 6.13. Conjugate Operators. 6.14. Classification of Continuous Linear Operators. Exercises. VII: Inner Product Spaces. 7.1. Scope of the Chapter. 7.2. Inner Product Spaces. 7.3. Orthogonal Subspaces. 7.4. Orthonormal Sets and Fourier Series. 7.5. Duals of Hilbert Spaces. 7.6. Linear Operators in Hilbert Spaces. 7.7. Forms and Variational Equations. Exercises. VIII: Spectral Theory of Linear Operators. 8.1. Scope of the Chapter. 8.2. The Resolvent Set and the Spectrum. 8.3. The Resolvent Operator. 8.4. The Spectrum of a Bounded Operator. 8.5. The Spectrum of a Compact Operator. 8.6. Functions of Operators. 8.7. Spectral Theory in Hilbert Spaces. Exercises. IX: Differentiation of Operato

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