Description
Book SynopsisFirst-Order, Quasi-Linear Equations and Method of Characteristics.- Mathematical Models.- Classification of Second-Order Linear Equations.- The Cauchy Problem and Wave Equations.- Fourier Series and Integrals with Applications.- Method of Separation of Variables.- Eigenvalue Problems and Special Functions.- Boundary-Value Problems and Applications.- Higher-Dimensional Boundary-Value Problems.- Green's Functions and Boundary-Value Problems.- Integral Transform Methods with Applications.- Nonlinear Partial Differential Equations with Applications.- Numerical and Approximation Methods.- Tables of Integral Transforms.
Table of ContentsPreface to the Fourth Edition Preface to the Third Edition Introduction First-Order, Quasi-Linear Equations and Method of Characteristics Mathematical Models Classification of Second-Order Linear Equations The Cauchy Problem and Wave Equations Fourier Series and Integrals with Applications Method of Separation of Variables Eigenvalue Problems and Special Functions Boundary-Value Problems and Applications Higher-Dimensional Boundary-Value Problems Green's Functions and Boundary-Value Problems Integral Transform Methods with Applications Nonlinear Partial Differential Equations with Applications Numerical and Approximation Methods Tables of Integral Transforms Answers and Hints to Selected Exercises Appendix: Some Special Functions and Their Properties Bibliography Index
