By Michael J. Cloud,Byron C. Drachman,Leonid P. Lebedev
This ebook bargains a concise creation to mathematical inequalities for graduate scholars and researchers within the fields of engineering and utilized arithmetic. It starts via reviewing crucial proof from algebra and calculus and proceeds with a presentation of the primary inequalities of utilized research, illustrating a large choice of functional purposes. The textual content presents a steady advent to summary areas, akin to metric, normed and internal product areas. It additionally presents complete assurance of the crucial inequalities of utilized research, equivalent to Young's inequality, the inequality of the potential, Hölder's inequality, Minkowski's inequality, the Cauchy–Schwarz inequality, Chebyshev's inequality, Jensen's inequality and the triangle inequality.
The moment version beneficial properties prolonged assurance of functions, together with continuum mechanics and period research. it is usually many extra examples and workouts with tricks and whole recommendations which could attract upper-level undergraduate and graduate scholars, in addition to researchers in engineering, arithmetic, physics, chemistry or the other quantitative science.
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