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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很好的书,值得大家一读

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开卷有益处,不忘送书人

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朴素集合论的经典

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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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不错不错不错不错不错不错

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这本书覆盖了从入门机械制图工程师/技师所必需知道的关于产业的知识。书中还覆盖了所必需的进阶知识。《实分析教程(第2版)(英文影印版)》是一部备受专家好评的教科书，书中用现代的方式清晰论述了实分析的概念与理论，定理证明简明易懂，可读性强。在第一版的基础上做了全面修订，有200道例题，练习题由原来的1200道增加到1300习题。本书的写法像一部文学读物，这在数学教科书很少见，因此阅读本书会是一种享受。

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朴素集合论的经典