朴素集合论 [Naive Set Theory] 下载 mobi epub pdf 电子书 2024

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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 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] 下载 mobi epub pdf txt 电子书 格式

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双十一优惠活动买的。 留着以后慢慢 。

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naive的意思就是尽量依靠直觉去解释。但作者表示，此书是在公理化的基础上，用直觉思维去展开。

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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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P. Halmos的经典教材。。。值得推荐。。。不过貌似字体印刷的比较小，比较密集，容易累看着。。。

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this book is suitable for all people in the first process to learn some basis knowlege. i am studying and thinking this course this year. i hope it can play imoportant role for my research level.

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开卷有益处,不忘送书人

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很好很满意很好很满意

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不错不错不错不错不错不错

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。

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