Beginning Partial Differential Equations
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PETER V. O'NEIL is Provost at the University of Alabama at Birmingham. His books include Advanced Engineering Mathematics, Fourth Edition.

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First Order Partial Differential Equations.

Linear Second Order Partial Differential Equations.

Elements of Fourier Analysis.

The Wave Equation.

The Heat Equation.

Dirichlet and Neumann Problems.

Conclusion.

Index.

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"It is a good book. It is a tract written by a pure mathematician for a fairly advanced audience. If you teach at Podunk U. and you think you are going to use this text to teach junior engineering students. . .then you had better think again: Read the book first." (The UMAP Journal Vol. 21, No. 2 Summer 2000)

The book gives an easy manipulative treatment of the subject with applications rather than a rigorous and systematic theory.... It can be used as a text book at a senior undergraduate and / or first-year graduate level course in mathematics, science and engineering. (Zentralblatt Math, Volume 938, No 13, 2000)
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