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Functions of a Single Variable

Published 25 Oct 2023 in math.HO | (2311.12863v1)

Abstract: These notes are a chapter in Real Analysis. While primarily standard, the reader will find a discussion of certain topics that are ordinarily not covered in the usual accounts. For example, the notion of bounded variation in the sense of Cesari is introduced. This is Volume 1 of 4, to be followed by Curves and Length, Functions of Several Variables, and Surfaces and Area.

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