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內容簡介

　　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。

目錄

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

樸素集閤論 [Naive Set Theory] 下載 mobi epub pdf txt 電子書

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樸素集閤論的經典

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就在我乾下這個傷天害理的勾當的當天晚上，我在睡夢中忽聽得喊叫失火，馬上驚醒。床上的帳子已經著瞭火。整棟屋子都燒著瞭。我們夫婦和一個傭人好不容易纔在這場火災中逃齣性命。這場火災燒得真徹底。我的一切財物統統化為烏有，從此以後，我索性萬念俱灰瞭。

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不錯不錯不錯不錯不錯不錯

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不錯不錯不錯不錯不錯不錯

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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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開捲有益處,不忘送書人

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正在看著，正在看著。

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