The exposition is replete with examples, problems and solutions that
complement the material to enhance understanding and solidify comprehension.
The only prerequisites are advanced differential calculus and some basic Lp
theory. The work can serve as a text for advanced undergraduates and graduate
students in mathematics, physics, engineering, and the natural sciences, as
well as an excellent reference for applied mathematicians and mathematical
physicists.


This self-contained text offers an elementary introduction to partial
differential equations (pdes), primarily focusing on linear equations,
but also providing some perspective on nonlinear equations. The classical
treatment is mathematically rigorous with a generally theoretical layout,
though indications to some of the physical origins of pdes are made
throughout in references to potential theory, similarity solutions for the
porous medium equation, generalized Riemann problems, and others.

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