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Theory and Applications of Partial Differential Equations / by Piero Bassanini, Alan R. Elcrat
(Mathematical Concepts and Methods in Science and Engineering ; 46)
版 | 1st ed. 1997. |
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出版者 | (New York, NY : Springer US : Imprint: Springer) |
出版年 | 1997 |
本文言語 | 英語 |
大きさ | IX, 444 p : online resource |
著者標目 | *Bassanini, Piero author Elcrat, Alan R author SpringerLink (Online service) |
件 名 | LCSH:Differential equations LCSH:Mathematical physics FREE:Differential Equations FREE:Theoretical, Mathematical and Computational Physics |
一般注記 | to Partial Differential Equations -- Wave Equation -- Heat Equation -- Laplace Equation -- Elliptic Partial Differential Equations of Second Order -- Abstract Evolution Equations -- Hyperbolic Systems of Conservation Laws in One Space Variable -- Distributions and Sobolev Spaces This book is a product of the experience of the authors in teaching partial differential equations to students of mathematics, physics, and engineering over a period of 20 years. Our goal in writing it has been to introduce the subject with precise and rigorous analysis on the one hand, and interesting and significant applications on the other. The starting level of the book is at the first-year graduate level in a U.S. university. Previous experience with partial differential equations is not required, but the use of classical analysis to find solutions of specific problems is not emphasized. From that perspective our treatment is decidedly theoretical. We have avoided abstraction and full generality in many situations, however. Our plan has been to introduce fundamental ideas in relatively simple situations and to show their impact on relevant applications. The student is then, we feel, well prepared to fight through more specialized treatises. There are parts of the exposition that require Lebesgue integration, distributions and Fourier transforms, and Sobolev spaces. We have included a long appendix, Chapter 8, giving precise statements of all results used. This may be thought of as an introduction to these topics. The reader who is not familiar with these subjects may refer to parts of Chapter 8 as needed or become somewhat familiar with them as prerequisite and treat Chapter 8 as Chapter O HTTP:URL=https://doi.org/10.1007/978-1-4899-1875-8 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9781489918758 |
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電子リソース |
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EB00226315 |
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