| 书目名称 | Introduction to Boolean Algebras |
| 编辑 | Paul‘Halmos,Steven Givant |
| 视频video | |
| 概述 | Provides a friendly introduction to Boolean algebras.Includes hundres of exercises and a solutions manual.Contains background chapters on topology and continuous functions.Author has streamlined many |
| 丛书名称 | Undergraduate Texts in Mathematics |
| 图书封面 |  |
| 描述 | .In a bold and refreshingly informal style, this exciting text steers a middle course between elementary texts emphasizing connections with philosophy, logic, and electronic circuit design, and profound treatises aimed at advanced graduate students and professional mathematicians. It is written for readers who have studied at least two years of college-level mathematics. With carefully crafted prose, lucid explanations, and illuminating insights, it guides students to some of the deeper results of Boolean algebra --- and in particular to the important interconnections with topology --- without assuming a background in algebra, topology, and set theory. The parts of those subjects that are needed to understand the material are developed within the text itself... ..Highlights of the book include the normal form theorem; the homomorphism extension theorem; the isomorphism theorem for countable atomless Boolean algebras; the maximal ideal theorem; the celebrated Stone representation theorem; the existence and uniqueness theorems for canonical extensions and completions; Tarski’s isomorphism of factors theorem for countably complete Boolean algebras, and Hanf’s related counterexamples; |
| 出版日期 | Textbook 2009 |
| 关键词 | Boolean algebra; Division; Lattice; algebra; homomorphism; set theory |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-0-387-68436-9 |
| isbn_softcover | 978-1-4419-2324-0 |
| isbn_ebook | 978-0-387-68436-9Series ISSN 0172-6056 Series E-ISSN 2197-5604 |
| issn_series | 0172-6056 |
| copyright | Springer-Verlag New York 2009 |
发表于 2025-3-21 17:07:57
