Excerpt from Acta Mathematica, 1884, Vol. 4
Pour être plus bref, je désignerai fréquemment dans la suite seule ment par continuum un continuum de l'espèce qui vient d'être décrite.
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Paperback. Condition: New. Print on Demand. This book presents an in-depth exploration of the theory of monogenuous uniform functions of one independent variable, offering a comprehensive treatment of the subject using a novel approach developed by the author. The author introduces new concepts and theorems, including the notion of an isolated set, while also providing a detailed examination of the notion of a continuum. This book also offers a thorough discussion of the behavior of functions in the vicinity of points, singular or not, and explores the concept of a regular function within a continuum. The author demonstrates how a monogenuous uniform function can be represented through an analytic expression, offering a new method for finding such expressions that represent given functions. The work concludes by addressing the question of whether each continuum obtained from the domain of a variable by excluding a given set of isolated points forms a function that cannot be continued beyond that continuum. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9780259544777_0
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