Inequalities : With Applications to Engineering (2ND)

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Inequalities : With Applications to Engineering (2ND)

  • オンデマンド(OD/POD)版です。キャンセルは承れません。
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  • 製本 Paperback:紙装版/ペーパーバック版/ページ数 239 p.
  • 言語 ENG
  • 商品コード 9783319307701
  • DDC分類 515

Full Description

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, Hölder'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.

Contents

Preface.- 1. Basic Review and Elementary Facts.- 2. Methods from the Calculus.- 3. Some Standard Inequalities.- 4. Inequalities in Abstract Spaces.- 5. Some Applications.- 6. Inequalities for Differential Equations.- 7. Brief Introduction to Interval Analysis.- Hints for Selected Problems.- References.- Appendix.

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