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Book Cover
E-book
Author Henner, Victor

Title Ordinary and Partial Differential Equations
Published Hoboken : CRC Press, 2013

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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
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
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
Print version record
Subject Differential equations -- Textbooks
Differential equations, Partial -- Textbooks
MATHEMATICS -- Calculus.
MATHEMATICS -- Mathematical Analysis.
Differential equations
Differential equations, Partial
Genre/Form Textbooks
Form Electronic book
Author Belozerova, Tatyana
Khenner, Mikhail
ISBN 9781466515031
1466515031
9781466599253
1466599251
9780429096136
0429096135