Notes on Real Analysis and Measure Theory: Fine Properties of Real Sets and Functions
暫譯: 實分析與測度論筆記：實集合與函數的精細性質
Kharazishvili, Alexander
- 出版商: Springer
- 出版日期: 2023-09-25
- 售價: $4,400
- 貴賓價: 9.5 折 $4,180
- 語言: 英文
- 頁數: 253
- 裝訂: Quality Paper - also called trade paper
- ISBN: 3031170350
- ISBN-13: 9783031170355
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相關分類:
離散數學 Discrete-mathematics
海外代購書籍(需單獨結帳)
商品描述
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.
商品描述(中文翻譯)
這本專著為讀者提供了有關實值函數和測度的最新細緻特性。書中的統一主題是不可測性（nonmeasurability）的概念，從中可以全面理解實數線的子集及其之間的映射結構。本書所涵蓋的內容將吸引廣泛的數學家讀者，特別是那些在實分析、一般拓撲學和概率論領域工作的研究者。對於對實分析基礎感興趣的集合論學者，本書將詳細討論實數的某些性質與ZFC公理、馬丁公理（Martin's axiom）以及連續假設（continuum hypothesis）之間的關係。
作者簡介
作者簡介(中文翻譯)
亞歷山大·卡哈拉茲維利（Alexander Kharazishvili）是喬治亞州I. Chavachavadze第比利斯國立大學的數學教授。他是遵循盧辛學派傳統的古典實分析專家，也是著作《實分析中的奇異函數》（Strange Functions in Real Analysis）的知名作者。
