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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

評分☆☆☆☆☆

naive的意思就是盡量依靠直覺去解釋。但作者錶示，此書是在公理化的基礎上，用直覺思維去展開。

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非常不錯的書籍，推薦大傢購買

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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。

評分☆☆☆☆☆

開捲有益處,不忘送書人

評分☆☆☆☆☆

開捲有益處,不忘送書人

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　　 目次：全書其有四部分，新增加瞭5章，總共17章。（一）集閤論、實數和微積分：集閤論；實數體係和微積分。（二）測度、積分和微分：實綫上的勒貝格理論；實綫上的勒貝格積分；測度和乘積測度的擴展；概率論基礎；微分和絕對連續；單測度和復測度。（三）拓撲、度量和正規空間：拓撲、度量和正規空間基本理論；可分離性和緊性；完全空間和緊空間；希爾伯特空間和經典巴拿赫空間；正規空間和局部凸空間。（四）調和分析、動力係統和hausdorff側都：調和分析基礎；可測動力係統；hausdorff測度和分形。

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好

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P. Halmos的經典教材。。。值得推薦。。。不過貌似字體印刷的比較小，比較密集，容易纍看著。。。

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類似圖書 點擊查看全場最低價