株式会社極東書店トップ商品一覧Notes on Real Analysis and Measure Theory : Fine Properties of Real Sets and Functions. 2022 ed..

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Notes on Real Analysis and Measure Theory

Notes on Real Analysis and Measure Theory : Fine Properties of Real Sets and Functions. 2022 ed..

・ISBN 978-3-031-17035-5 paper EUR 99.99

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お気に入り
著者・編者Kharazishvili, Alexander,
シリーズSpringer Monographs in Mathematics
出版社(Springer International Publishing AG, SZ)
出版年月2023
ページ数253 pp.
言語ENG
ニュース番号<M25-14531>

解説

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.