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 格式
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非常不錯的書籍,推薦大傢購買
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非常不錯的書籍,推薦大傢購買
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對京東的購物方便很滿意。
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我倒也不至於那麼懦弱,會在自己所犯罪孽和這場火災之間找因果關係。不過我要把事實的來龍去脈詳細說一說,但願彆把任何環節拉下。失火的第二天,我去憑吊這堆廢墟。牆壁都倒坍瞭,隻有一道還沒塌下來。一看原來是一堵牆壁,厚倒不大吼,正巧在屋子中間,我的床頭就靠近這堵牆。牆上的灰泥大大擋住瞭火勢,我把這件事看成是新近粉刷的緣故。牆根前密密麻麻聚集瞭一堆人,看來有不少人非常仔細和專心的在查看這堵牆,隻聽得大傢連聲喊著“奇怪”,以及諸如此類的話,我不由感到好奇,就走近一看,但見白壁上赫然有個淺浮雕,原來是隻偌大的貓。這貓刻得惟妙惟肖,一絲不差,貓脖子還有一根絞索。
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不錯不錯不錯不錯不錯不錯
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經典集閤論的內容基本都包括瞭,很耐讀
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樸素集閤論的經典
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讀者對象:數學及相關專業的大學高年級學生和研究生。
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對京東的購物方便很滿意。