Herbert B.Enderton 哈佛大學博士,師從著名哲學傢Hilary Putnam。曾任教於加州大學伯剋利分校。現為加州大學洛杉磯分校數學係兼職教授,該校“邏輯學論壇”主席,曾擔任《符號邏輯學會評論》雜誌的主編。除本書外,他還著有A Mathematical Introduction to Logic和Linear Algebra。
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.
發表於2024-12-27
Elements of Set Theory 2024 pdf epub mobi 電子書 下載
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...
評分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...
評分我看的是英文版。這本書非常好,很適閤自學。 一開始我看的是"Naive Set Theory"(樸素集閤論) by Paul R. Halmos, 如他所說,每個數學傢都同意每個數學傢應該懂一點集閤論,問題是這“一點”是多少. Halmos自己的書我看瞭一下,太淺瞭,話題鋪得比較開,一共100多頁,不能展...
評分我看的是英文版。這本書非常好,很適閤自學。 一開始我看的是"Naive Set Theory"(樸素集閤論) by Paul R. Halmos, 如他所說,每個數學傢都同意每個數學傢應該懂一點集閤論,問題是這“一點”是多少. Halmos自己的書我看瞭一下,太淺瞭,話題鋪得比較開,一共100多頁,不能展...
評分還在看,此書前麵的部分Chapter 1-4,很容易,Chapter 5很煩瑣(講實數的構造,個人覺得有點無聊).後麵部分Chapter6-9比較有難度,特彆是從第7章的Replacement Axioms開始, 本來準備很快把這本書看完的,現在看來確實還需要花些時間認真讀,認真做後麵的練習(練習很有用).
圖書標籤: 數學 集閤論 邏輯 Math 哲學 數學基礎 教材 自學
清晰易懂
評分寫的不好嘛?雖然隻讀瞭70來頁很曉暢呀。
評分深入淺齣 基數和基數運算部分用函數來展開很不錯
評分可讀性比較高(Enderton的書可讀性都比較高),此書不太難的習題較多,能鞏固對概念的理解,講解較細緻,自然語言描述的太多,如果係統學習過一階邏輯可能會不太喜歡太多的自然語言描述,但不影響閱讀,適閤詳細學習ZFC係統。
評分藉瞭一本,兩個月之內翻譯成中文。
Elements of Set Theory 2024 pdf epub mobi 電子書 下載