Download E-books Analytic Inequalities (Dover Books on Mathematics) PDF

By Nicholas D. Kazarinoff

Mathematical research is essentially a scientific research and exploration of inequalities — yet for college students the learn of inequalities usually continues to be a overseas state, tricky of entry. This ebook is a passport to that nation, delivering a history on inequalities that would arrange undergraduates (and even highschool scholars) to deal with the techniques of continuity, spinoff, and integral.
Beginning with motives of the algebra of inequalities and conditional inequalities, the textual content introduces a couple of historical theorems and their purposes. Explorations of inequalities and calculus hide the quantity e, examples from the calculus, and approximations via polynomials. the ultimate sections current smooth theorems, together with Bernstein's facts of the Weierstrass approximation theorem and the Cauchy, Bunyakovskii, Hölder, and Minkowski inequalities. a variety of figures, difficulties, and examples look in the course of the ebook, providing scholars a good beginning for additional stories of calculus.

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