Principles of Partial Differential Equations [Hardcover]

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 their full rigor.? Many examples from physics are intended to keep the book intuitive and to illustrate the applied nature of the subject. The book is useful for a higher-level undergraduate course and for self-study.

This concise book covers the classical tools of Partial Differential Equations Theory in todays science and engineering. The rigorous theoretical presentation includes many hints, and the book contains many illustrative applications from physics.

Hyperbolic equations. Method of characteristics.- The Fourier method.- Distributions and Greens functions.- Fundamental solutions and Greens functions in higher dimensions.- Erratum.

From the reviews:

This book is intended to give the reader an opportunity to master solving problems in partial differential equations. & This book has been written specifically to satisfy the demand of a wide audience who needs knowledge of how to solve PDE problems & . The book under review is mainly addressed to those in higher-level undergraduate courses and for self-study for both graduate and higher-level undergraduate students.??? (Vicenciu Rdulescu, Mathematical Reviews, Issue 2010 k)

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 anlCÝ