集合论导论
Introduction to set theory
Karel Hrbacek · 初版 1978 年
3人推荐
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“本书经过全面修订、更新、扩充与重组，旨在作为数学课程的核心教材。Introduction to Set Theory（第三版）涵盖了‘基础知识’——关系、函数与偏序；有限集、可数集与不可数集；以及基数和序数——共九章内容，非常适合单学季或单学期的课程使用……提供另外五个独立的章节，可用作基础课程的补充或第二学期的教学大纲……将实数部分的内容整合为一个更新后的单章，为课程设计提供了灵活性……提供……
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……分别推荐一本集合论和数理逻辑的书。这两本都是我当年上对应课程时的教材，在亚马逊上的评价都相当不错：Karel Hrbacek 与 Thomas Jech 的《Introduction to Set Theory》，ISBN-13: 978-0824779153；Herbert Enderton 的《A Mathematical Introduction to Logic》，ISBN-13: 978-0122384523。希望对你有帮助！:-)
…recommendation of a book for each of set theory and mathematical logic. Each were the basis for the course I took on the topic, and recieved pretty good reviews on Amazon: Karel Hrbacek and Thomas Jech, Introduction to Set Theory. ISBN-13: 978-0824779153. Herbert Enderton, A Mathematical Introduction to Logic. ISBN-13: 978-0122384523. Hope this helps. :-)
……从 Magnus 的《ForallX》开始。然后接着读 Boolos 的《Computability and Logic》（不用全读，看前言了解搞懂哥德尔不完备定理需要哪些章节即可）。>集合论 Hrbacek 的《Introduction to Set Theory》—— 我目前正在开发一门在线课程，讲授逻辑、集合论和可计算性理论（包含哥德尔不完备定理）。用的就是上面提到的这些教材。你……
…with ForallX by Magnus. Then continue with Computability and Logic by Boolos (don't read all chapters, check out preface to see what you need for Godel Incompleteness Theorems). >Set Theory Hrbacek - Introduction to Set Theory --- I am currently developing an online course which teaches logic, set theory, and computability theory (this includes Godel Incompleteness Theorem). It uses the textbooks I've mentioned above. You…
……策略，比如：1. Chartrand、Polmeni、Zhang 写的《Mathematical Proofs》；2. Daniel Velleman 写的《How to Prove It》。第一本 Chartrand 等人的书更偏向传统教材，在各类数学证明的背景下对集合论做了全面的介绍。非常棒，尤其是它有专门的章节讲解比如线性代数、微积分、初等数论等领域的证明……
…strategies, such as: 1. Mathematical Proofs by Chartrand, Polmeni, Zhang 2. How to Prove It by Daniel Velleman The first book by Chartrand et al is more of a traditional textbook and gives a comprehensive introduction to set theory in the context of various types of mathematical proofs. It's very good, especially because it has chapters specifically covering proofs in e.g linear algebra, calculus, elementary number theory, etc.…
多谢！几年前我刚打算多学点数学时，把那本教材读了大半，但很快我就开始并行业务读另一本教材了（Hrbacek 和 Jech 写的《Introduction to Set Theory》），那是一本更深入、非朴素集合论的入门书。我现在还在继续啃的就是这本。
Thanks! I read through a bunch of that textbook when I first decided to learn more maths a few years ago, but I relatively quickly started dual-reading a different textbook ("Introduction to Set Theory" by Hrbacek and Jeck), which is a more in-depth, non-naive introduction. That's the book I'm continuing to work through now.