Analytic inequalities by Nicholas D. Kazarinoff

By Nicholas D. Kazarinoff

Mathematical research is essentially a scientific research and exploration of inequalities — yet for college students the learn of inequalities usually is still a international nation, tricky of entry. This booklet is a passport to that kingdom, delivering a heritage on inequalities that might arrange undergraduates (and even highschool scholars) to deal with the innovations of continuity, by-product, and integral.
Beginning with reasons 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 conceal the quantity e, examples from the calculus, and approximations by means of polynomials. the ultimate sections current sleek theorems, together with Bernstein's evidence of the Weierstrass approximation theorem and the Cauchy, Bunyakovskii, Hölder, and Minkowski inequalities. a number of figures, difficulties, and examples seem through the publication, delivering scholars a superb beginning for extra stories of calculus.

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