Linear partial differential equations for scientists and engineers
著者
書誌事項
Linear partial differential equations for scientists and engineers
Birkhäuser, c2007
4th ed.
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内容説明・目次
内容説明
This significantly expanded fourth edition is designed as an introduction to the theory and applications of linear PDEs. The authors provide fundamental concepts, underlying principles, a wide range of applications, and various methods of solutions to PDEs. In addition to essential standard material on the subject, the book contains new material that is not usually covered in similar texts and reference books. It also contains a large number of worked examples and exercises dealing with problems in fluid mechanics, gas dynamics, optics, plasma physics, elasticity, biology, and chemistry; solutions are provided.
目次
Preface 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
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