Mendeley出力
＜図書＞
Advanced mathematics for applications
| 責任表示 | Andrea Prosperetti |
|---|---|
| データ種別 | 図書 |
| 出版情報 | Cambridge ; New York : Cambridge University Press , 2011 |
| 本文言語 | 英語 |
| 大きさ | xviii, 724 p. ; 26 cm |
| 概要 | "The partial differential equations that govern scalar and vector fields are the very language used to model a variety of phenomena in solid mechanics, fluid flow, acoustics, heat transfer, electromag...etism and many others. A knowledge of the main equations and of the methods for analyzing them is therefore essential to every working physical scientist and engineer. Andrea Prosperetti draws on many years' research experience to produce a guide to a wide variety of methods, ranging from classical Fourier-type series through to the theory of distributions and basic functional analysis. Theorems are stated precisely and their meaning explained, though proofs are mostly only sketched, with comments and examples being given more rominence. The book structure does not require sequential reading: each chapter is elf-contained and users can fashion their own path through the material. Topics are first introduced in the context of applications, and later complemented by a more thorough presentation"--続きを見る |
| 目次 | Machine generated contents note: Preface; To the reader; List of tables; Part I. General Remarks and Basic Concepts: 1. The classical field equations; 2. Some simple preliminaries; Part II. Applications: 3. Fourier series: applications; 4. Fourier transform: applications; 5. Laplace transform: applications; 6. Cylindrical systems; 7. Spherical systems; Part III. Essential Tools: 8. Sequences and series; 9. Fourier series: theory; 10. The Fourier and Hankel transforms; 11. The Laplace transform; 12. The Bessel equation; 13. The Legendre equation; 14. Spherical harmonics; 15. Green's functions: ordinary differential equations; 16. Green's functions: partial differential equations; 17. Analytic functions; 18. Matrices and finite-dimensional linear spaces; Part IV. Some Advanced Tools: 19. Infinite-dimensional spaces; 20. Theory of distributions; 21. Linear operators in infinite-dimensional spaces; Appendix; References; Index. |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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: hbk. | 理系図3F 数理独自 | PROS/7/1 | 2011 |
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033212010005523 |
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書誌詳細
| 一般注記 | Includes bibliographical references (p. [699]-706) and index |
|---|---|
| 著者標目 | *Prosperetti, Andrea |
| 件 名 | LCSH:Mathematics FREE:MATHEMATICS / General bisacsh |
| 分 類 | LCC:QA36 DC22:510 |
| 書誌ID | 1001439267 |
| ISBN | 9780521515320 |
| NCID | BB04588506 |
| 巻冊次 | : hbk. ; ISBN:9780521515320 |
| 登録日 | 2011.01.28 |
| 更新日 | 2011.01.28 |