【Springer 应用数学】 Inequalities : With Applications to Engineering (2e)

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Inequalities
With Applications to Engineering

Authors: Michael J. Cloud, Byron C. Drachman, Leonid P. Lebedev



New edition extensively revised and updated

Provides full coverage of the central inequalities of applied analysis: Young's inequality, the inequality of the means, Hölder's inequality, Minkowski's inequality, the Cauchy–Schwarz inequality, Chebyshev's inequality, Jensen's inequality, the triangle inequality, and many more

Includes applications to continuum mechanics and an introduction to the field of interval analysis

Presents a thorough review of background topics that make the book suitable for undergraduate students and practicing engineers, as well as graduate students and researchers

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.

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关键词：inequalities Applications Application Engineering engineerin triangle 应用数学 Michael Schwarz central

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