朴素集合论 [Naive Set Theory] pdf epub mobi txt 电子书下载 2025

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出版社：世界图书出版公司

ISBN：9787506292177

版次：1

商品编码：10096469

包装：平装

外文名称：Naive Set Theory

开本：24开

出版时间：2008-05-01

用纸：胶版纸

页数：104

正文语种：英语

具体描述

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。

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

用户评价

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好

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不错不错不错不错不错不错

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非常不错的书籍，推荐大家购买

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Goooooooooooooooooooooooooooood

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经典集合论的内容基本都包括了，很耐读

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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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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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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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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。。。