Mendeley出力
＜図書＞
A primer of infinitesimal analysis
| 責任表示 | John L. Bell |
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| データ種別 | 図書 |
| 版 | 2nd ed |
| 出版情報 | Cambridge ; New York : Cambridge University Press , c2008 |
| 本文言語 | 英語 |
| 大きさ | xi, 124 p. : ill. ; 24 cm |
| 目次 | Basic features of smooth worlds Basic differential calculus The derivative of a function Stationary points of functions Areas under curves and the constancy principle The special functions First applications of the differential calculus Areas and volumes Volumes of revolution Arc length; surfaces of revolution; curvature Application to physics Moments of inertia Centres of mass Pappus' theorems Centres of pressure Stretching a spring Flexure of beams The catenary, the loaded chain, and the bollard-rope The Kepler-Newton areal law of motion under a central force Multivariable calculus and applications Partial derivatives Stationary values of functions Theory of surfaces. Spacetime metrics The heat equation The basic equations of hydrodynamics The wave equation The Cauchy-Riemann equations for complex functions The definite integral. Higher-order infinitesimals The definite integral Higher-order infinitesimals and Taylor's theorem The three natural microneighbourhoods of zero Synthetic differential geometry Tangent vectors and tangent spaces Vector fields Differentials and directional derivatives Smooth infinitesimal analysis as an axiomatic system Natural numbers in smooth worlds Nonstandard analysis.続きを見る |
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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理系図3F 数理独自 | BELL/70/5 | 2008 |
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023212008002138 |
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書誌詳細
| 一般注記 | Includes bibliographical references and index |
|---|---|
| 著者標目 | *Bell, J. L. (John Lane) |
| 件 名 | LCSH:Nonstandard mathematical analysis |
| 分 類 | LCC:QA299.82 DC22:515 |
| 書誌ID | 1001242270 |
| ISBN | 9780521887182 |
| NCID | BA86344834 |
| 巻冊次 | ISBN:9780521887182 |
| 登録日 | 2009.09.18 |
| 更新日 | 2009.11.02 |