Description |
1 online resource (642 pages) |
Contents |
Front Cover; Contents; Preface; Part I -- Ordinary Differential Equations, Boundary Value Problems, Fourier Series, and the Introduction to Integral Equations; Chapter 1 -- First-Order Differential Equations; Chapter 2 -- Second-Order Differential Equations; Chapter 3 -- Systems of Differential Equations; Chapter 4 -- Boundary Value Problems for Second-Order ODE and Sturm-Liouville Theory; Chapter 5 -- Qualitative Methods and Stability of ODE Solutions; Chapter 6 -- Method of Laplace Transforms for ODE; Chapter 7 -- Integral Equations |
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Chapter 8 -- Series Solutions of ODE and Bessel and Legendre EquationsChapter 9 -- Fourier Series; Part II -- Partial Differential Equations; Chapter 19 -- One-Dimensional Hyperbolic Equations; Chapter 11 -- Two-Dimensional Hyperbolic Equations; Chapter 12 -- One-Dimensional Parabolic Equations; Chapter 13 -- Two-Dimensional Parabolic Equations; Chapter 14 -- Elliptic Equations; Appendix 1 -- Eigenvalues and Eigenfunctions of One-Dimensional Sturm-Liouville Boundary Value Problem for Different Types of Boundary Conditions |
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Appendix 2 -- Auxiliary Functions, w(x, t), for Different Types of Boundary ConditionsAppendix 3 -- Eigenfunctions of Sturm-Liouville Boundary Value Problem for the Laplace Equation in a Rectangular Domain for Different Types of Boundary Conditions; Appendix 4 -- A Primer on the Matrix Eigenvalue Problems and the Solution of the Selected Examples in Section 5.2; Appendix 5 -- How to Use the Software Associated with the Book; Bibliography; Back Cover |
Summary |
Ordinary Differential Equations, Boundary Value Problems, Fourier Series, and the Introduction to Integral EquationsFirst-Order Differential Equations Second-Order Differential EquationsSystems of Differential EquationsBoundary Value Problems for Second-Order ODE and Sturm-Liouville TheoryQualitative Methods and Stability of ODE SolutionsMethod of Laplace Transforms for ODE Integral EquationsSeries Solutions of ODEs and Bessel and Legendre Equations Fourier SeriesPartial Differential EquationsIntroduction to PDEOne-Dimensional Hyperbolic EquationsTwo-Dimensional Hyperbolic EquationsOne-Dimensi |
Bibliography |
Includes bibliographical references and index |
Notes |
English |
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Print version record |
Subject |
Differential equations -- Textbooks
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Differential equations, Partial -- Textbooks
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MATHEMATICS -- Calculus.
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MATHEMATICS -- Mathematical Analysis.
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Differential equations
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Differential equations, Partial
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Genre/Form |
Textbooks
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Form |
Electronic book
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Author |
Belozerova, Tatyana
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Khenner, Mikhail
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ISBN |
9781466515031 |
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1466515031 |
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9781466599253 |
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1466599251 |
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9780429096136 |
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0429096135 |
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