Notes on Real Analysis and Measure Theory: Fine Properties of Real Sets and Functions

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Alexander Kharazishvili

Notes on Real Analysis and Measure Theory

Fine Properties of Real Sets and Functions

Alexander Kharazishvili

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English

Springer International Publishing AG
24 September 2022

Real analysis, real variables; Integral calculus & equations

Series: Springer Monographs in Mathematics

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.

By: Alexander Kharazishvili
Imprint: Springer International Publishing AG
Country of Publication: Switzerland
Edition: 2022 ed.
Dimensions: Height: 235mm, Width: 155mm,
Weight: 571g
ISBN: 9783031170324
ISBN 10: 3031170326
Series: Springer Monographs in Mathematics
Pages: 253
Publication Date: 24 September 2022
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

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.

Reviews for Notes on Real Analysis and Measure Theory: Fine Properties of Real Sets and Functions

“The text is mostly self-contained and at the end of each chapter are exercises providing additional information to the presented topic. It makes the book accessible to graduate and post-graduate students.” (Jaroslav Tišer, zbMATH 1504.26003, 2023)