Solution Techniques for Elementary Partial Differential Equations, Second Edition

✍ Scribed by Constanda, Christian

Publisher: CRC Press
Year: 2012
Tongue: English
Leaves: 340
Series: Chapman Hall/CRC Mathematics Series
Edition: 2nd ed
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

Ordinary Differential Equations: Brief RevisionFirst-Order Equations Homogeneous Linear Equations with Constant Coefficients Nonhomogeneous Linear Equations with Constant Coefficients Cauchy-Euler Equations Functions and OperatorsFourier SeriesThe Full Fourier Series Fourier Sine Series Fourier Cosine Series Convergence and Differentiation Sturm-Liouville ProblemsRegular Sturm-Liouville Problems Other Problems Read more...

Abstract: Ordinary Differential Equations: Brief RevisionFirst-Order Equations Homogeneous Linear Equations with Constant Coefficients Nonhomogeneous Linear Equations with Constant Coefficients Cauchy-Euler Equations Functions and OperatorsFourier SeriesThe Full Fourier Series Fourier Sine Series Fourier Cosine Series Convergence and Differentiation Sturm-Liouville ProblemsRegular Sturm-Liouville Problems Other Problems Bessel Functions Legendre Polynomials Spherical HarmonicsSome Fundamental Equations of Mathematical PhysicsThe Heat Equation The Laplace Equation The Wave EquationOther EquationsThe Meth

✦ Table of Contents

Content: Front cover
Contents
Foreword
Preface to the Second Edition
Preface to the First Edition
Body
Chapter 1: Ordinary DifferentialEquations: Brief Review
Chapter 2: Fourier Series
Chapter 3: Sturm-Liouville Problems
Chapter 4: Some Fundamental Equationsof Mathematical Physics
Chapter 5: The Method of Separation of Variables
Chapter 6: Linear Nonhomogeneous Problems
Chapter 7: The Method ofEigenfunction Expansion
Chapter 8: The Fourier Transformations
Chapter 9: The Laplace Transformation
Chapter 10: The Method of Green's Functions Chapter 11: General Second-Order LinearPartial DifferentialEquations with TwoIndependent VariablesChapter 12: The Method of Characteristics
Chapter 13: Perturbation and Asymptotic Methods
Chapter 14: Complex Variable Methods
Answers to Odd-Numbered Exercises
Appendix
Bibliography
Back cover

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