{"product_id":"linear-algebra-and-its-applications-2e-functional-analysis-set-9780470555545","title":"Linear Algebra and Its Applications 2e  Functional Analysis Set","description":"\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003ci\u003e\u003cb\u003eLinear Algebra and Its Applications, 2nd Edition\u003c\/b\u003e\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003ePreface.\u003c\/p\u003e \u003cp\u003ePreface to the First Edition.\u003c\/p\u003e \u003cp\u003e1. Fundamentals.\u003c\/p\u003e \u003cp\u003e2. Duality.\u003c\/p\u003e \u003cp\u003e3. Linear Mappings.\u003c\/p\u003e \u003cp\u003e4. Matrices.\u003c\/p\u003e \u003cp\u003e5. Determinant and Trace.\u003c\/p\u003e \u003cp\u003e6. Spectral Theory.\u003c\/p\u003e \u003cp\u003e7. Euclidean Structure.\u003c\/p\u003e \u003cp\u003e8. Spectral Theory of Self-Adjoint Mappings.\u003c\/p\u003e \u003cp\u003e9. Calculus of Vector- and Matrix-Valued Functions.\u003c\/p\u003e \u003cp\u003e10. Matrix Inequalities.\u003c\/p\u003e \u003cp\u003e11. Kinematics and Dynamics.\u003c\/p\u003e \u003cp\u003e12. Convexity.\u003c\/p\u003e \u003cp\u003e13. The Duality Theorem.\u003c\/p\u003e \u003cp\u003e14. Normed Linear Spaces.\u003c\/p\u003e \u003cp\u003e15. Linear Mappings Between Normed Linear Spaces.\u003c\/p\u003e \u003cp\u003e16. Positive Matrices.\u003c\/p\u003e \u003cp\u003e17. How to Solve Systems of Linear Equations.\u003c\/p\u003e \u003cp\u003e18. How to Calculate the Eigenvalues of Self-Adjoint Matrices.\u003c\/p\u003e \u003cp\u003e19. Solutions.\u003c\/p\u003e \u003cp\u003eBibliography.\u003c\/p\u003e \u003cp\u003eAppendix 1. Special Determinants.\u003c\/p\u003e \u003cp\u003eAppendix 2. The Pfaffian.\u003c\/p\u003e \u003cp\u003eAppendix 3. Symplectic Matrices.\u003c\/p\u003e \u003cp\u003eAppendix 4. Tensor Product.\u003c\/p\u003e \u003cp\u003eAppendix 5. Lattices.\u003c\/p\u003e \u003cp\u003eAppendix 6. Fast Matrix Multiplication.\u003c\/p\u003e \u003cp\u003eAppendix 7. Gershgorin's Theorem.\u003c\/p\u003e \u003cp\u003eAppendix 8. The Multiplicity of Eigenvalues.\u003c\/p\u003e \u003cp\u003eAppendix 9. The Fast Fourier Transform.\u003c\/p\u003e \u003cp\u003eAppendix 10. The Spectral Radius.\u003c\/p\u003e \u003cp\u003eAppendix 11. The Lorentz Group.\u003c\/p\u003e \u003cp\u003eAppendix 12. Compactness of the Unit Ball.\u003c\/p\u003e \u003cp\u003eAppendix 13. A Characterization of Commutators.\u003c\/p\u003e \u003cp\u003eAppendix 14. Liapunov's Theorem.\u003c\/p\u003e \u003cp\u003eAppendix 15. The Jordan Canonical Form.\u003c\/p\u003e \u003cp\u003eAppendix 16. Numerical Range.\u003c\/p\u003e \u003cp\u003eIndex.\u003c\/p\u003e \u003cp\u003e\u003ci\u003e\u003cb\u003eFunctional Analysis\u003c\/b\u003e\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003eForeword.\u003c\/p\u003e \u003cp\u003eLinear Spaces.\u003c\/p\u003e \u003cp\u003eLinear Maps.\u003c\/p\u003e \u003cp\u003eThe Hahn-Banach Theorem.\u003c\/p\u003e \u003cp\u003eApplications of the Hahn-Banach Theorem.\u003c\/p\u003e \u003cp\u003eNormed Linear Spaces.\u003c\/p\u003e \u003cp\u003eHilbert Space.\u003c\/p\u003e \u003cp\u003eApplications of Hilbert Space Results.\u003c\/p\u003e \u003cp\u003eDuals of Normed Linear Space.\u003c\/p\u003e \u003cp\u003eApplications of Duality.\u003c\/p\u003e \u003cp\u003eWeak Convergence.\u003c\/p\u003e \u003cp\u003eApplications of Weak Convergence.\u003c\/p\u003e \u003cp\u003eThe Weak and Weak* Topologies.\u003c\/p\u003e \u003cp\u003eLocally Convex Topologies and the Krein-Milman Theorem.\u003c\/p\u003e \u003cp\u003eExamples of Convex Sets and their Extreme Points.\u003c\/p\u003e \u003cp\u003eBounded Linear Maps.\u003c\/p\u003e \u003cp\u003eExamples of Bounded Linear Maps.\u003c\/p\u003e \u003cp\u003eBanach Algebras and their Elementary Spectral Theory.\u003c\/p\u003e \u003cp\u003eGelfand's Theory of Commutative Banach Algebras.\u003c\/p\u003e \u003cp\u003eApplications of Gelfand's Theory of Commutative Banach Algebras.\u003c\/p\u003e \u003cp\u003eExamples of Operators and their Spectra.\u003c\/p\u003e \u003cp\u003eCompact Maps.\u003c\/p\u003e \u003cp\u003eExamples of Compact Operators.\u003c\/p\u003e \u003cp\u003ePositive Compact Operators.\u003c\/p\u003e \u003cp\u003eFredholm's Theory of Integral Equations.\u003c\/p\u003e \u003cp\u003eInvariant Subspaces.\u003c\/p\u003e \u003cp\u003eHarmonic Analysis on a Halfline.\u003c\/p\u003e \u003cp\u003eIndex Theory.\u003c\/p\u003e \u003cp\u003eCompact Symmetric Operators in Hilbert Space.\u003c\/p\u003e \u003cp\u003eExamples of Compact Symmetric Operators.\u003c\/p\u003e \u003cp\u003eTrace Class and Trace Formula.\u003c\/p\u003e \u003cp\u003eSpectral Theory of Symmetric, Normal and Unitary Operators.\u003c\/p\u003e \u003cp\u003eSpectral Theory of Self-Adjoint Operators.\u003c\/p\u003e \u003cp\u003eExamples of Self-Adjoint Operators.\u003c\/p\u003e \u003cp\u003eSemigroups of Operators.\u003c\/p\u003e \u003cp\u003eGroups of Unitary Operators.\u003c\/p\u003e \u003cp\u003eExamples of Strongly Continuous Semigroups.\u003c\/p\u003e \u003cp\u003eScattering Theory.\u003c\/p\u003e \u003cp\u003eA Theorem of Beurling.\u003c\/p\u003e \u003cp\u003eAppendix A: The Riesz-Kakutani Representation Theorem.\u003c\/p\u003e \u003cp\u003eAppendix B: Theory of Distributions.\u003c\/p\u003e \u003cp\u003eAppendix C: Zorn's Lemma.\u003c\/p\u003e \u003cp\u003eAuthor Index.\u003c\/p\u003e \u003cp\u003eSubject Index.\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":53515417846103,"sku":"9780470555545","price":999.99,"currency_code":"GBP","in_stock":false}],"url":"https:\/\/bookcurl.com\/products\/linear-algebra-and-its-applications-2e-functional-analysis-set-9780470555545","provider":"Book Curl","version":"1.0","type":"link"}