Principles of Partial Differential Equations

By (author) Komech, Alexander; By (author) Komech, Andrew

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.

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[目次]

  • Hyperbolic equations. Method of characteristics.- The Fourier method.- Distributions and Green's functions.- Fundamental solutions and Green's functions in higher dimensions.- Erratum.

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この本の情報

書名 Principles of Partial Differential Equations
著作者等 Komech, Andrew
Komech, Alexander
シリーズ名 Problem Books in Mathematics
出版元 Springer-Verlag New York Inc.
刊行年月 2012.03.03
ページ数 171p
大きさ H235 x W155
ISBN 9781461424628
言語 英語
出版国 アメリカ合衆国
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