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Notes on Real Analysis and Measure Theory: Fine Properties of Real Sets and Functions (Springer Monographs in Mathematics) - Hardcover
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This monograph gives the reader an up-to-date account of the fine properties of real-valued functions and measures. The unifying theme of the book is the notion of nonmeasurability, from which one gets a full understanding of the structure of the subsets of the real line and the maps between them. The material covered in this book will be of interest to a wide audience of mathematicians, particularly to those working in the realm of real analysis, general topology, and probability theory. Set theorists interested in the foundations of real analysis will find a detailed discussion about the relationship between certain properties of the real numbers and the ZFC axioms, Martin’s axiom, and the continuum hypothesis.
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Über die Autorin bzw. den Autor
Alexander Kharazishvili is a Professor of Mathematics at I. Chavachavadze Tibilisi State University in Georgia. An expert in classical Real Analysis in the tradition of the Lusin school, he is the author of the well known monograph Strange Functions in Real Analysis.
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This monograph gives the reader an up-to-date account of the fine properties of real-valued functions and measures. The unifying theme of the book is the notion of nonmeasurability, from which one gets a full understanding of the structure of the subsets of the real line and the maps between them. The material covered in this book will be of interest to a wide audience of mathematicians, particularly to those working in the realm of real analysis, general topology, and probability theory. Set theorists interested in the foundations of real analysis will find a detailed discussion about the relationship between certain properties of the real numbers and the ZFC axioms, Martin's axiom, and the continuum hypothesis.
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Notes on Real Analysis and Measure Theory: Fine Properties of Real Sets and Functions (Springer Monographs in Mathematics)
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Notes on Real Analysis and Measure Theory : Fine Properties of Real Sets and Functions
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Notes on Real Analysis and Measure Theory
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Springer Nature Switzerland Sep 2022, 2022
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ISBN 13: 9783031170324
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Buch. Zustand: Neu. Neuware -This monograph gives the reader an up-to-date account of the fine properties of real-valued functions and measures. The unifying theme of the book is the notion of nonmeasurability, from which one gets a full understanding of the structure of the subsets of the real line and the maps between them. The material covered in this book will be of interest to a wide audience of mathematicians, particularly to those working in the realm of real analysis, general topology, and probability theory. Set theorists interested in the foundations of real analysis will find a detailed discussion about the relationship between certain properties of the real numbers and the ZFC axioms, Martin's axiom, and the continuum hypothesis.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 268 pp. Englisch. Artikel-Nr. 9783031170324
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Notes on Real Analysis and Measure Theory : Fine Properties of Real Sets and Functions
Verlag:
Springer International Publishing, 2022
ISBN 10: 3031170326
ISBN 13: 9783031170324
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This monograph gives the reader an up-to-date account of the fine properties of real-valued functions and measures. The unifying theme of the book is the notion of nonmeasurability, from which one gets a full understanding of the structure of the subsets of the real line and the maps between them. The material covered in this book will be of interest to a wide audience of mathematicians, particularly to those working in the realm of real analysis, general topology, and probability theory. Set theorists interested in the foundations of real analysis will find a detailed discussion about the relationship between certain properties of the real numbers and the ZFC axioms, Martin's axiom, and the continuum hypothesis. Artikel-Nr. 9783031170324
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