Principles of Partial Differential Equations

This concise book covers the classical tools of PDE theory used in today's science and engineering: characteristics, the wave propagation, the Fourier method, distributions, Sobolev spaces, fundamental solutions, and Green's functions.  The approach is problem-oriented, giving the reader an opportunity to master solution techniques.  The theoretical part is rigorous and with important details presented with care.  Hints are provided to help the reader restore the arguments to