PDEs + transport¶

Five ranked references. Rank 1 is the default spine, not a requirement to read all five.

1 | Partial Differential Equations: An Introduction¶

Walter A. Strauss | Primary spine | Upper undergraduate

Excellent first serious treatment of waves, diffusion, Laplace equations, Fourier methods, and characteristics.

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2 | Partial Differential Equations¶

Lawrence C. Evans | Rigor / reference | Graduate

The modern graduate standard for weak solutions, Sobolev methods, elliptic/parabolic/hyperbolic PDEs, and nonlinear PDEs.

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3 | Applied Partial Differential Equations with Fourier Series and Boundary Value Problems¶

Richard Haberman | Applications | Undergraduate

Strong engineering/science treatment of separation of variables, transforms, and physical boundary-value problems.

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4 | Applied Partial Differential Equations¶

J. David Logan | Modeling | Undergraduate / graduate

Connects PDE forms to transport, conservation, diffusion, waves, and real applied models.

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5 | Partial Differential Equations for Scientists and Engineers¶

Stanley J. Farlow | Problem-solving | Undergraduate

Compact and practical introduction to the major PDE families and classical solution techniques.

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Strongest legal free/open path¶

• Free companion / course: Legal free companion: open