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Notes on Real Analysis and Measure Theory

Über Notes on Real Analysis and Measure Theory

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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  • Sprache:
  • Englisch
  • ISBN:
  • 9783031170355
  • Einband:
  • Taschenbuch
  • Seitenzahl:
  • 268
  • Veröffentlicht:
  • 25 September 2023
  • Ausgabe:
  • 23001
  • Abmessungen:
  • 155x15x235 mm.
  • Gewicht:
  • 411 g.
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Beschreibung von Notes on Real Analysis and Measure Theory

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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