Principles of Partial Differential Equations
Buch in deiner Nähe kaufen
Beschreibung
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 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.
Discusses: Classical tools of PDE theory used in today's science and engineering Characteristics, wave propagation, and the Fourier method Sobolev spaces and Green's functions Problem-oriented approach Includes supplementary material: sn.pub/extras
Autor*in
Alexander Komech
Themen in »Principles of Partial Differential Equations«
Green's functions PDEs Sobolev space distributions hyperbolic equation partial differential equation partial differential equations wave propagation