1986, ISBN: 9027723281
[EAN: 9789027723284], Neubuch, [PU: Springer Netherlands Okt 1986], ANALYSIS; CALCULUS; BANACHFIXED-POINTTHEOREM; HILBERTSPACE; DIFFERENTIALEQUATION; ORTHOGONALPOLYNOMIALS, This item is p… Meer...
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1986, ISBN: 9027723281
[EAN: 9789027723284], Neubuch, [SC: 0.0], [PU: Springer Netherlands], ANALYSIS; CALCULUS; BANACHFIXED-POINTTHEOREM; HILBERTSPACE; DIFFERENTIALEQUATION; ORTHOGONALPOLYNOMIALS, Druck auf An… Meer...
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1986, ISBN: 9027723281
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1986, ISBN: 9027723281
[EAN: 9789027723284], Neubuch, [PU: Springer Netherlands Okt 1986], ANALYSIS; CALCULUS; BANACHFIXED-POINTTHEOREM; HILBERTSPACE; DIFFERENTIALEQUATION; ORTHOGONALPOLYNOMIALS, This item is p… Meer...
1986, ISBN: 9027723281
[EAN: 9789027723284], Neubuch, [SC: 0.0], [PU: Springer Netherlands], ANALYSIS; CALCULUS; BANACHFIXED-POINTTHEOREM; HILBERTSPACE; DIFFERENTIALEQUATION; ORTHOGONALPOLYNOMIALS, Druck auf An… Meer...
ISBN: 9789027723284
Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find… Meer...
ISBN: 9789027723284
Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find… Meer...
1986, ISBN: 9027723281
1986 Gebundene Ausgabe Analysis, Calculus, Banachfixed-pointtheorem; Hilbertspace; calculus; differentialequation; Orthogonalpolynomials, mit Schutzumschlag 11, [PU:Springer Netherlands… Meer...
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Gedetalleerde informatie over het boek. - Applied Analysis A.M. Krall Author
EAN (ISBN-13): 9789027723284
ISBN (ISBN-10): 9027723281
Gebonden uitgave
Verschijningsjaar: 1986
Uitgever: Springer Netherlands Core >2 >T
580 Bladzijden
Gewicht: 1,017 kg
Taal: eng/Englisch
Boek bevindt zich in het datenbestand sinds 2007-05-07T13:36:39+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2024-02-13T16:48:41+01:00 (Amsterdam)
ISBN/EAN: 9027723281
ISBN - alternatieve schrijfwijzen:
90-277-2328-1, 978-90-277-2328-4
alternatieve schrijfwijzen en verwante zoekwoorden:
Auteur van het boek: krall, allan, van lie, chesterton
Titel van het boek: analysis, applied mathematics
Gegevens van de uitgever
Auteur: A.M. Krall
Titel: Mathematics and Its Applications; Applied Analysis
Uitgeverij: Springer; Springer Netherland
561 Bladzijden
Verschijningsjaar: 1986-10-31
Dordrecht; NL
Taal: Engels
106,99 € (DE)
109,99 € (AT)
118,00 CHF (CH)
Available
XI, 561 p.
BB; Hardcover, Softcover / Mathematik/Analysis; Mathematische Analysis, allgemein; Verstehen; Banach fixed-point theorem; Hilbert space; calculus; differential equation; orthogonal polynomials; Analysis; BC; EA; BA
I. Some Inequalities.- 1. Young’s Inequality.- 2. Hölder’s Inequality.- 3. Minkowski’s Inequality.- 4. A Relation between Different Norms.- II. Linear Spaces and Linear Operators.- 1. Linear Spaces.- 2. Linear Operators.- 3. Norms and Banach Spaces.- 4. Operator Convergence.- III. Existence and Uniqueness Theorems.- 1. The Contraction Mapping Theorem.- 2. Existence and Uniqueness of Solutions for Ordinary Differential Equations.- 3. First Order Linear Systems.- 4. n-th Order Differential Equations.- 5. Some Extensions.- IV. Linear Ordinary Differential Equations.- 1. First Order Linear Systems.- 2. Fundamental Matrices.- 3. Nonhomogeneous Systems.- 4. n-th Order Equations.- 5. Nonhomogeneous n-th Order Equations.- 6. Reduction of Order.- 7. Constant Coefficients.- V. Second Order Ordinary Differential Equations.- 1. A Brief Review.- 2. The Adjoint Operator.- 3. An Oscillation Theorem.- 4. The Regular Sturm-Liouville Problem.- 5. The Inverse Problem, Green’s Functions.- VI. The Stone-Weierstrass Theorem.- 1. Preliminary Remarks.- 2. Algebras and Subalgebras.- 3. The Stone-Weierstrass Theorem.- 4. Extensions and Special Cases.- VII. Hilbert Spaces.- 1. Hermitian Forms.- 2. Inner Product Spaces.- 3. Hilbert Spaces.- 4. Orthogonal Subspaces.- 5. Continuous Linear Functionals.- 6. Fourier Expansions.- 7. Isometric Hilbert Spaces.- VIII. Linear Operators on a Hilbert Space.- 1. Regular Operators on a Hilbert Space.- 2. Bilinear Forms, the Adjoint Operator.- 3. Self-Adjoint Operators.- 4. Projections.- 5. Some Spectral Theorems.- 6. Operator Convergence.- 7. The Spectral Resolution of a Self-Adjoint Operator.- 8. The Spectral Resolution of a Normal Operator.- 9. The Spectral Resolution of a Unitary Operator.- IX. Compact Operators on a Hilbert Space.- 1. Compact Operators.- 2. Some Special Examples.- 3. The Spectrum of a Compact Self-Adjoint Operator.- 4. The Spectral Resolution of a Compact, Self-Adjoint Operator.- 5. The Regular Sturm-Liouville Problem.- X. Special Functions.- 1. Orthogonal Polynomials.- 2. The Legendre Polynomials.- 3. The Laguerre Polynomials.- 4. The Hermite Polynomials.- 5. Bessel Functions.- XI. The Fourier Integral.- 1. The Lebesgue Integral.- 2. The Fourier Integral in L1(-?, ?).- 3. The Fourier Integral in L2(-?, ?).- XII. The Singular Sturm-Liouville Problem.- 1. Circles under Bilinear Transformations.- 2. Helly’s Convergence Theorems.- 3. Limit Points and Limit Circles.- 4. The Limit Point Case.- 5. The Limit Circle Case.- 6. Examples.- XIII. An Introduction to Partial Differential Equations.- 1. The Cauchy-Kowaleski Theorem.- 2. First Order Equations.- 3. Second Order Equations.- 4. Green’s Formula.- XIV. Distributions.- 1. Test Functions and Distributions.- 2. Limits of Distributions.- 3. Fourier Transforms of Distributions.- 4. Applications of Distributions to Ordinary Differential Equations.- 5. Applications of Distributions to Partial Differential Equations.- XV. Laplace’s Equation.- 1. Introduction, Well Posed Problems.- 2. Dirichlet, Neumann, and Mixed Boundary Value Problems.- 3. The Dirichlet Problem.- 4. The Dirichlet Problem on the Unit Circle.- 5. Other Examples.- XVI. The Heat Equation.- 1. Introduction, the Cauchy Problem.- 2. The Cauchy Problem with Dirichlet Boundary Data.- 3. The Solution to the Nonhomogeneous Cauchy Problem.- 4. Examples.- 5. Homogeneous Problems.- XVII. The Wave Equation.- 1. Introduction, the Cauchy Problem.- 2. Solutions in 1, 2 and 3 Dimensions.- 3. The Solution to the Nonhomogeneous Cauchy Problem.- 4. Examples.- Appendix I The Spectral Resolution of an Unbounded Self-Adjoint Operator.- 1. Unbounded Linear Operators.- 2. The Graph of an Operator.- 3. Symmetric and Self-Adjoint Operators.- 4. The Spectral Resolution of an Unbounded Self-Adjoint Operator.- Appendix II The Derivation of the Heat, Wave and Lapace Equations.- 1. The Heat Equation.- 2. Boundary Conditions.- 3. The Wave Equation.- 4. Boundary Conditions.- 5. Laplace’s Equation.Andere boeken die eventueel grote overeenkomsten met dit boek kunnen hebben:
Laatste soortgelijke boek:
9789400947481 Applied Analysis (A.M. Krall)
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