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

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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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经典教材，经典图书，建议购买

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开卷有益处,不忘送书人

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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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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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很好的书,值得大家一读

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非常不错的书籍，推荐大家购买

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很好的书,值得大家一读

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