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＜電子ブック＞
Inequalities : With Applications to Engineering / by Michael J. Cloud, Byron C. Drachman, Leonid P. Lebedev

版	2nd ed. 2014.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2014
大きさ	XIII, 239 p. 30 illus : online resource
著者標目	*Cloud, Michael J author Drachman, Byron C author Lebedev, Leonid P author SpringerLink (Online service)
件　名	LCSH:Functions of real variables LCSH:Special functions LCSH:Engineering mathematics LCSH:Engineering—Data processing FREE:Real Functions FREE:Special Functions FREE:Mathematical and Computational Engineering Applications
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-3-319-05311-0

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