Solution techniques for elementary partial differential equations
著者
書誌事項
Solution techniques for elementary partial differential equations
CRC Press, c2016
3rd ed
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注記
Includes bibliographical references (p. 353-354) and index
"A chapman & Hall Book"
内容説明・目次
内容説明
Solution Techniques for Elementary Partial Differential Equations, Third Edition remains a top choice for a standard, undergraduate-level course on partial differential equations (PDEs). Making the text even more user-friendly, this third edition covers important and widely used methods for solving PDEs.
New to the Third Edition
New sections on the series expansion of more general functions, other problems of general second-order linear equations, vibrating string with other types of boundary conditions, and equilibrium temperature in an infinite strip
Reorganized sections that make it easier for students and professors to navigate the contents
Rearranged exercises that are now at the end of each section/subsection instead of at the end of the chapter
New and improved exercises and worked examples
A brief Mathematica (R) program for nearly all of the worked examples, showing students how to verify results by computer
This bestselling, highly praised textbook uses a streamlined, direct approach to develop students' competence in solving PDEs. It offers concise, easily understood explanations and worked examples that allow students to see the techniques in action.
目次
Ordinary Differential Equations: Brief Revision. Fourier Series. Sturm-Liouville Problems. Some Fundamental Equations of Mathematical Physics. The Method of Separation of Variables. Linear Nonhomogeneous Problems. The Method of Eigenfunction Expansion. The Fourier Transformations. The Laplace Transformation. The Method of Green's Functions. General Second-Order Linear Equations. The Method of Characteristics. Perturbation and Asymptotic Methods. Complex Variable Methods. Appendix. Further Reading. Index.
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