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Viser: Inequalities - With Applications to Engineering
Inequalities
With Applications to Engineering
Michael J. Cloud, Byron C. Drachman og Leonid P. Lebedev
(2014)
Sprog: Engelsk
om ca. 10 hverdage
Detaljer om varen
- 2. Udgave
- Paperback: 239 sider
- Udgiver: Springer International Publishing AG (Maj 2014)
- Forfattere: Michael J. Cloud, Byron C. Drachman og Leonid P. Lebedev
- ISBN: 9783319307701
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.
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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