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Inequalities : With Applications to Engineering. 2nd ed. 2014

種類:
電子ブック
責任表示:
by Michael J. Cloud, Byron C. Drachman, Leonid P. Lebedev
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2014
著者名:
ISBN:
9783319053110 [3319053116]  CiNii Books  Calil
注記:
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 stud
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