朴素集合论(Naive Set Theory)
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品牌: 哈莫斯
基本信息·出版社：世界图书出版公司
·页码：104 页
·出版日期：2008年
·ISBN：7506292173/9787506292177
·条形码：9787506292177
·包装版本：1版
·装帧：平装
·开本：32
·正文语种：英语
·外文书名：Naive Set Theory
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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 ZORN'S LEMMA
17 WELL ORDERING
…………
……[看更多目录]
