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] epub pdf mobi txt 電子書 下載 2025
樸素集閤論 [Naive Set Theory] 下載 epub mobi pdf txt 電子書
評分
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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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樸素集閤論的經典
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雙十一優惠活動買的。 留著以後慢慢 。
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開捲有益處,不忘送書人
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書中的很多對於産業介紹和機械製圖方麵的知識很完整,很係統。但是某些部分關於計算機配置的部分稍微落後。同時,部分機械草圖有些小錯誤。但是,基本上對於想挑戰自己的機械製圖的工程師們來說,是很好的sample.
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很好很滿意很好很滿意
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很薄的一本,很簡練!很好!
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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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