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Beginning Partial Differential Equations.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: O'Neil, Peter V.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Wiley, 2014.
Temas:
Acceso en línea:Texto completo

MARC

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505 0 |a Intro -- Half Title page -- Title page -- Copyright page -- Preface -- Chapter 1: First Ideas -- 1.1 Two Partial Differential Equations -- 1.2 Fourier Series -- 1.3 Two Eigenvalue Problems -- 1.4 A Proof of the Convergence Theorem -- Chapter 2: Solutions of the Heat Equation -- 2.1 Solutions on an Interval [0, L] -- 2.2 A Nonhomogeneous Problem -- 2.3 The Heat Equation in Two Space Variables -- 2.4 The Weak Maximum Principle -- Chapter 3: Solutions of the Wave Equation -- 3.1 Solutions on Bounded Intervals -- 3.2 The Cauchy Problem -- 3.3 The Wave Equation in Higher Dimensions 
505 8 |a Chapter 4: Dirichlet and Neumann Problems -- 4.1 Laplace's Equation and Harmonic Functions -- 4.2 The Dirichlet Problem for a Rectangle -- 4.3 The Dirichlet Problem for a Disk -- 4.4 Properties of Harmonic Functions -- 4.5 The Neumann Problem -- 4.6 Poisson's Equation -- 4.7 Existence Theorem for a Dirichlet Problem -- Chapter 5: Fourier Integral Methods of Solution -- 5.1 The Fourier Integral of a Function -- 5.2 The Heat Equation on the Real Line -- 5.3 The Debate over the Age of the Earth -- 5.4 Burgers' Equation -- 5.5 The Cauchy Problem for the Wave Equation 
505 8 |a 5.6 Laplace's Equation on Unbounded Domains -- Chapter 6: Solutions Using Eigenfunction Expansions -- 6.1 A Theory of Eigenfunction Expansions -- 6.2 Bessel Functions -- 6.3 Applications of Bessel Functions -- 6.4 Legendre Polynomials and Applications -- Chapter 7: Integral Transform Methods of Solution -- 7.1 The Fourier Transform -- 7.2 Heat and Wave Equations -- 7.3 The Telegraph Equation -- 7.4 The Laplace Transform -- Chapter 8: First-Order Equations -- 8.1 Linear First-Order Equations -- 8.2 The Significance of Characteristics -- 8.3 The Quasi-Linear Equation -- Chapter 9: End Materials 
505 8 |a 9.1 Notation -- 9.2 Use of MAPLE -- 9.3 Answers to Selected Problems -- Index 
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