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By Piotr Mikusinski, Jan Mikusinski

The booklet features a rigorous exposition of calculus of a unmarried genuine variable. It covers the traditional subject matters of an introductory research path, specifically, capabilities, continuity, differentiability, sequences and sequence of numbers, sequences and sequence of services, and integration. an immediate remedy of the Lebesgue necessary, dependent completely at the notion of totally convergent sequence, is gifted, that is a distinct function of a textbook at this point. the normal fabric is complemented by way of themes often no longer present in related textbooks, for instance, common services are conscientiously outlined and their houses are conscientiously derived and an creation to Fourier sequence is gifted as an instance of software of the Lebesgue integral.The textual content is for a post-calculus direction for college students majoring in arithmetic or arithmetic schooling. it's going to offer scholars with a superb heritage for extra reports in research, deepen their realizing of calculus, and supply sound education in rigorous mathematical evidence.

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