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Partial Differential Equations I : Basic Theory. Second Edition 2011.
・ISBN 978-1-4614-2726-1 paper EUR 99.99
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お気に入り
★★★
| 著者・編者 | Taylor, Michael E., |
|---|---|
| シリーズ | Applied Mathematical Sciences |
| 出版社 | (Springer-Verlag New York Inc., US) |
| 出版年月 | 2012 |
| ページ数 | 654 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-20134＞ |
解説
The first of three volumes on partial differential equations, this one introduces basic examples arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, in particular Fourier analysis, distribution theory, and Sobolev spaces. These tools are then applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as well as more general elliptic, parabolic, and hyperbolic equations.The book is targeted at graduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis.