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Inequalities: With Applications to Engineering (Englisch) Gebundene Ausgabe – 19. Mai 2014


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“This second edition of Inequalities with Applications to Engineering is aimed at readers having customary backgrounds in engineering mathematics. … It is interesting to note that the authors included not only classical inequalities … but also some discussion of extremum problems and an introduction to interval analysis. … It should be of interest to both undergraduate and graduate students of mathematics, physics and engineering, as well as to practicing engineers.” (Victor A. Eremeyev, Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 95 (8), 2015)

“It reads at an undergraduate mathematics level but gives soft introductions and reviews on all topics leaving it possible for those without a formal mathematical or applied mathematical background to follow. … Any mathematician would enjoy this book and appreciate its clear, concise descriptions. … It simply is a very nice applied mathematics book.” (Anna Heffernan, Irish Mathematical Bulletin, Issue 75, 2015)

"...a remarkable addition to the literature on inequalities, and not only engineers or other applied scientists, but the students of mathematics and researchers will appreciate it." - József Sándor, zbMATH

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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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5.0 von 5 Sternen Shows how inequalities can simplify some tough physical science problems... 17. Mai 2015
Von Steven J. Wojtczuk - Veröffentlicht auf Amazon.com
Format: Gebundene Ausgabe Verifizierter Kauf
This is a very interesting book to browse through if one needs to make a lot of approximations to model physical phenomena. It is truly more useful to scientists and engineers that most mathematical texts on inequalities because of the application of the inequalities to physical science examples. For example, if one needs to estimate parasitic capacitance of a complex 3d structure, one can either resort to numerical modeling to get a near exact answer, or instead use the proof given in this book that the capacitance of such a structure can be bounded by a sphere that encloses it for a quick estimate in about a minute that will allow you to see whether the capacitance is significant and you need to calculate it more exactly. It has an easy to follow proof that the currents divide themselves in an electrical circuit to minimize dissipated power. It shows how to quickly bound tough integrals. I am not sure where it would fit into an engineering or science curriculum, but it sure is a nice book to remind one of what can be done by taking a complex problem and turning it into a simple one by developing upper and lower bounds of a simpler case. I have owned both the 1st and 2nd editions. The 2nd edition has more much material, and did not delete any parts of the 1st edition that I really liked,
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