Principles of Partial Differential Equations
(Sprache: Englisch)
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...
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Produktinformationen zu „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 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.
Klappentext zu „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 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.
Inhaltsverzeichnis zu „Principles of Partial Differential Equations “
Hyperbolic equations. Method of characteristics.- The Fourier method.- Distributions and Green's functions.- Fundamental solutions and Green's functions in higher dimensions.- Erratum.
Autoren-Porträt von Alexander Komech, Andrew Komech
Bibliographische Angaben
- Autoren: Alexander Komech , Andrew Komech
- 2009, X, 161 Seiten, Masse: 16,3 x 24,4 cm, Gebunden, Englisch
- Verlag: Springer, Berlin
- ISBN-10: 1441910956
- ISBN-13: 9781441910950
Sprache:
Englisch
Rezension zu „Principles of Partial Differential Equations “
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." (Vicentiu Radulescu, Mathematical Reviews, Issue 2010 k)
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