By Michael J. Cloud, Leonid P. Lebedev
This e-book 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 significant inequalities of utilized research, illustrating a wide selection of functional purposes. The textual content offers a steady creation to summary areas, reminiscent of metric, normed and internal product areas. It additionally presents complete insurance of the vital inequalities of utilized research, resembling Young's inequality, the inequality of the capability, Hölder's inequality, Minkowski's inequality, the Cauchy–Schwarz inequality, Chebyshev's inequality, Jensen's inequality and the triangle inequality.
The moment version good points prolonged assurance of purposes, together with continuum mechanics and period research. it's also many extra examples and workouts with tricks and entire ideas which can 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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