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Titlebook: Real Analysis: Foundations; Sergei Ovchinnikov Textbook 2021 The Editor(s) (if applicable) and The Author(s), under exclusive license to S

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Integration,Integration in ordered fields is more variegated than in the field of real numbers. Notions that are equivalent in . may lead to different sets of integrable functions. In this chapter, the Riemann and Darboux integrable functions and the respective integrals are introduced in the context of a general ordered field.
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Sergei OvchinnikovExplores the foundations of real analysis using the framework of general ordered fields, demonstrating the multifaceted nature of the area.Illustrates the definitions and logical interrelations betwee
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978-3-030-64700-1The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Sergei Ovchinnikovle enterprise. In all of this, it is crucial to distinguish between what seems to be wishful and how companies behave in reality. In other words, there is a continuous need for both good policies and good research and a sound vision on how they interrelate.
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