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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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