朴素集合论

图书标准信息

• 作者 [美]哈莫斯 著
• 出版社 世界图书出版公司
• 出版时间 2008-05
• 版次 1
• ISBN 9787506292177
• 定价 25.00元
• 装帧 平装
• 开本 24开
• 纸张 胶版纸
• 页数 104页
• 正文语种 英语
• 原版书名 Naive Set Theory

【内容简介】

　　Everymathematicianagreesthateverymathematicianmustknowsomesettheory;thedisagreementbeginsintryingtodecidehowmuchissome.Thisbookcontainsmyanswertothatquestion.Thepurposeofthebookistotellthebeginningstudentofadvancedmathematicsthebasicsettheoreticfactsoflife,andtodosowiththeminimumofphilosophicaldiscourseandlogicalformalism.Thepointofviewthroughoutisthatofaprospectivemathematiciananxioustostudygroups,orintegrals,ormanifolds.Fromthispointofviewtheconceptsandmethodsofthisbookaremerelysomeofthestandardmathematicaltools;theexpertspecialistwillfindnothingnewhere。

【目录】

SECTION
PREFACE
1THEAXIOMOFEXTENSION
2THEAXIOMOFSPECIFICATION
3UNORDEREDPAIRS
4UNIONSANDINTERSECTIONS
5COMPLEMENTSANDPOWERS
6ORDEREDPAIRS
7RELATIONS
8FUNCTIONS
9FAMILIES
10INVERSESANDCOMPOSITES
11NUMBERS
12THEPEANOAXIOMS
13ARITHMETIC
14ORDER
15THEAXIOMOFCHOICE
16ZORNSLEMMA
17WELLORDERING
18TRANSFINITERECURSION
19ORDINALNUMBERS
20SETSOFORDINALNUMBERS
21ORDINALARITHMETIC
22THESCHRODER-BERNSTEINTHEOREM
23COUNTABLESETS
24CARDINALARITHMETIC
25CARDINALNUMBERS
INDEX