By Nicholas D. Kazarinoff
Mathematical research is essentially a scientific research and exploration of inequalities — yet for college kids the examine of inequalities frequently continues to be a overseas nation, tricky of entry. This e-book is a passport to that kingdom, providing a historical past on inequalities that would arrange undergraduates (and even highschool scholars) to deal with the recommendations of continuity, by-product, and integral.
Beginning with factors 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 glossy theorems, together with Bernstein's facts of the Weierstrass approximation theorem and the Cauchy, Bunyakovskii, Hölder, and Minkowski inequalities. quite a few figures, difficulties, and examples look in the course of the e-book, providing scholars a very good starting place for extra stories of calculus.
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Analytic inequalities by Nicholas D. Kazarinoff