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商品詳細
Inequalities : With Applications to Engineering. 2nd ed. 2014.
・ISBN 978-3-319-30770-1 paper EUR 49.99
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| 著者・編者 | Cloud, Michael J. / Drachman, Byron C. / Lebedev, Leonid P., |
|---|---|
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2014 |
| ページ数 | 239 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-22364＞ |
解説
This book offers a concise introduction to mathematical inequalities for graduate students and researchers in the fields of engineering and applied mathematics. It begins by reviewing essential facts from algebra and calculus and proceeds with a presentation of the central inequalities of applied analysis, illustrating a wide variety of practical applications. The text provides a gentle introduction to abstract spaces, such as metric, normed and inner product spaces. It also provides full coverage of the central inequalities of applied analysis, such as Young's inequality, the inequality of the means, Hoelder's inequality, Minkowski's inequality, the Cauchy-Schwarz inequality, Chebyshev's inequality, Jensen's inequality and the triangle inequality.
The second edition features extended coverage of applications, including continuum mechanics and interval analysis. It also includes many additional examples and exercises with hints and full solutions that may appeal to upper-level undergraduate and graduate students, as well as researchers in engineering, mathematics, physics, chemistry or any other quantitative science.