Partial differential equations : analytical solution techniques
著者
書誌事項
Partial differential equations : analytical solution techniques
（Texts in applied mathematics, 35）
Springer, c2000
2nd ed
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
A broad treatment of important partial differential equations, particularly emphasizing the analytical techniques. In each chapter the author raises various questions concerning the particular equations discussed, treats different methods for tackling these equations, gives applications and examples, and concludes with a list of proposed problems and a relevant bibliography. This new edition has been substantially updated to take account of the new techniques available, making it valuable for students and researchers in mathematics, physics and engineering.
目次
1. The Diffusion Equation.- 2. Laplace's Equation.- 3. The Wave Equation.- 4. Linear Second-Order Equations with Two Independent Variables.- 5. The Scalar Quasilinear First-Order Equation.- 6. Nonlinear First-Order Equations.- 7. Quasilinear Hyperbolic Systems.- 8. Approximate Solutions by Perturbation Methods.- A.1. Review of Green's Function for ODEs Using the Dirac Delta Function.- A.2. Review of Fourier and Laplace Transforms.- A.3. Review of Asymptotic Expansions.- References.
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