图书标签: 数学 集合论 逻辑 Math 哲学 数学基础 教材 自学
发表于2024-12-23
Elements of Set Theory pdf epub mobi txt 电子书 下载 2024
This is an introductory undergraduate textbook in set theory. In mathematics these days, essentially everything is a set. Some knowledge of set theory is necessary part of the background everyone needs for further study of mathematics. It is also possible to study set theory for its own interest--it is a subject with intruiging results anout simple objects. This book starts with material that nobody can do without. There is no end to what can be learned of set theory, but here is a beginning.
Herbert B.Enderton 哈佛大学博士,师从著名哲学家Hilary Putnam。曾任教于加州大学伯克利分校。现为加州大学洛杉矶分校数学系兼职教授,该校“逻辑学论坛”主席,曾担任《符号逻辑学会评论》杂志的主编。除本书外,他还著有A Mathematical Introduction to Logic和Linear Algebra。
可读性比较高(Enderton的书可读性都比较高),此书不太难的习题较多,能巩固对概念的理解,讲解较细致,自然语言描述的太多,如果系统学习过一阶逻辑可能会不太喜欢太多的自然语言描述,但不影响阅读,适合详细学习ZFC系统。
评分这本只作参考,上课没怎么按照书讲,但我听不懂了还是看了一些。集合论同样学得云里雾里,但是感觉比逻辑有意思,集合论更疯狂,逻辑更干燥。当然当时的老师也更有激情,讲得更好。
评分看完这本书,我就不再学集合论了。太累了。
评分这才比较像正常数学书啊……在学院教材面前这本像“baby set theory”otz
评分好像有点明白了什么是“w+1”,但对“良序的不可数集”还是一头雾水……书本身写得很好,大部分时候严谨简练,一些重要的地方又会娓娓道来。
I definitely recommend this book to anyone that would like to self-study Set Theory. This is a quite good book introducing Set Theory. It's a bit more than "Naive Set Theory" by Paul R. Halmos, while not so deep as discussing proofs and forcing. I was rea...
评分我看的是英文版。这本书非常好,很适合自学。 一开始我看的是"Naive Set Theory"(朴素集合论) by Paul R. Halmos, 如他所说,每个数学家都同意每个数学家应该懂一点集合论,问题是这“一点”是多少. Halmos自己的书我看了一下,太浅了,话题铺得比较开,一共100多页,不能展...
评分I definitely recommend this book to anyone that would like to self-study Set Theory. This is a quite good book introducing Set Theory. It's a bit more than "Naive Set Theory" by Paul R. Halmos, while not so deep as discussing proofs and forcing. I was rea...
评分还在看,此书前面的部分Chapter 1-4,很容易,Chapter 5很烦琐(讲实数的构造,个人觉得有点无聊).后面部分Chapter6-9比较有难度,特别是从第7章的Replacement Axioms开始, 本来准备很快把这本书看完的,现在看来确实还需要花些时间认真读,认真做后面的练习(练习很有用).
评分还在看,此书前面的部分Chapter 1-4,很容易,Chapter 5很烦琐(讲实数的构造,个人觉得有点无聊).后面部分Chapter6-9比较有难度,特别是从第7章的Replacement Axioms开始, 本来准备很快把这本书看完的,现在看来确实还需要花些时间认真读,认真做后面的练习(练习很有用).
Elements of Set Theory pdf epub mobi txt 电子书 下载 2024