By Ovidiu Furdui
This ebook good points tough difficulties of classical research that invite the reader to discover a number of concepts and instruments used for fixing difficulties of contemporary subject matters in genuine research. This quantity deals an strange selection of difficulties — a lot of them unique — focusing on 3 issues of mathematical research: limits, sequence, and fractional half integrals.
The paintings is split into 3 components, every one containing a bankruptcy facing a specific challenge variety in addition to a truly brief element of tricks to pick difficulties. the 1st bankruptcy collects difficulties on limits of distinctive sequences and Riemann integrals; the second one chapter focuses on the calculation of fractional half integrals with a different part known as ‘Quickies’ which includes difficulties that experience had unforeseen succinct options. the ultimate bankruptcy bargains the reader an collection of issues of a taste in the direction of the computational facets of countless sequence and distinctive items, lots of that are new to the literature. every one bankruptcy features a portion of tricky difficulties that are influenced by means of different difficulties within the e-book. those ‘Open difficulties’ will be thought of learn tasks for college students who're learning complex calculus, and which are meant to stimulate creativity and the invention of recent and unique tools for proving identified effects and setting up new ones.
This stimulating selection of difficulties is meant for undergraduate scholars with a robust history in research; graduate scholars in arithmetic, physics, and engineering; researchers; and someone who works on subject matters on the crossroad among natural and utilized arithmetic. additionally, the extent of difficulties is acceptable for college students eager about the Putnam pageant and different excessive point mathematical contests.
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Limits, Series, and Fractional Part Integrals: Problems in Mathematical Analysis (Problem Books in Mathematics) by Ovidiu Furdui