Titlebook: A Modern Introduction to Mathematical Analysis; Alessandro Fonda Textbook 2023 The Editor(s) (if applicable) and The Author(s), under excl

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Textbook 2023ecessary tools – no preliminaries are needed. Both students and their instructors will benefit from this book and its novel approach, turning their course in mathematical analysis into a gratifying and successful experience..

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Kurzweil-Henstock integralThis textbook presents all the basics for the first two years of a course in mathematical analysis, from the natural numbers to Stokes-Cartan Theorem..The main novelty which distinguishes this book is the choice of introducing the Kurzweil-Henstock integral from the very b

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https://doi.org/10.1007/978-3-658-22708-1In this chapter, we introduce the main settings where all the theory will be developed. First, we discuss the sets of numbers ., ., ., ., and ., then the space ., and, finally, abstract metric spaces.

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Selected School Shootings Worldwide,We will now introduce another fundamental concept that, however, is strongly related to continuity. It is the notion of the “limit” of a function, a local notion, as we will see. As in Chap. ., the theory will be developed within the framework of metric spaces.

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The Encounter With the Concept Of Function,.In this chapter, we denote by . a . interval of the real line ..