内容简介
Every mathematician agrees that every mathematician must know some set theory; the disagreement begins in trying to decide how much is some. This book contains my answer to that question. The purpose of the book is to tell the beginning student of advanced mathematics the basic settheoretic facts of life, and to do so with the minimum of philosophical discourse and logical formalism. The point of view throughout is that of a prospective mathematician anxious to study groups, or integrals, or manifolds. From this point of view the concepts and methods of this book are merely some of the standard mathematical tools; the expert specialist will find nothing new here。
目录
SECTION
PREFACE
1 THE AXIOM OF EXTENSION
2 THE AXIOM OF SPECIFICATION
3 UNORDERED PAIRS
4 UNIONS AND INTERSECTIONS
5 COMPLEMENTS AND POWERS
6 ORDERED PAIRS
7 RELATIONS
8 FUNCTIONS
9 FAMILIES
10 INVERSES AND COMPOSITES
11 NUMBERS
12 THE PEANO AXIOMS
13 ARITHMETIC
14 ORDER
15 THE AXIOM OF CHOICE
16 ZORNS LEMMA
17 WELL ORDERING
18 TRANSFINITE RECURSION
19 ORDINAL NUMBERS
20 SETS OF ORDINAL NUMBERS
21 ORDINAL ARITHMETIC
22 THE SCHRODER-BERNSTEIN THEOREM
23 COUNTABLE SETS
24 CARDINAL ARITHMETIC
25 CARDINAL NUMBERS
INDEX
前言/序言
朴素集合论 [Naive Set Theory] epub pdf mobi txt 电子书 下载 2024
朴素集合论 [Naive Set Theory] 下载 epub mobi pdf txt 电子书 2024
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☆☆☆☆☆
就在我干下这个伤天害理的勾当的当天晚上,我在睡梦中忽听得喊叫失火,马上惊醒。床上的帐子已经着了火。整栋屋子都烧着了。我们夫妇和一个佣人好不容易才在这场火灾中逃出性命。这场火灾烧得真彻底。我的一切财物统统化为乌有,从此以后,我索性万念俱灰了。
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☆☆☆☆☆
读者对象:数学及相关专业的大学高年级学生和研究生。
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☆☆☆☆☆
经典教材,经典图书,建议购买
评分
☆☆☆☆☆
非常不错的书籍,推荐大家购买
评分
☆☆☆☆☆
读者对象:数学及相关专业的大学高年级学生和研究生。
评分
☆☆☆☆☆
不错不错不错不错不错不错
评分
☆☆☆☆☆
很好的书,值得大家一读
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☆☆☆☆☆
朴素集合论的经典
评分
☆☆☆☆☆
非常不错的书籍,推荐大家购买