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 2024
樸素集閤論 [Naive Set Theory] 下載 epub mobi pdf txt 電子書
評分
☆☆☆☆☆
不錯不錯不錯不錯不錯不錯
評分
☆☆☆☆☆
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。。。
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。
評分
☆☆☆☆☆
書很好,發貨快,很滿意。這本書書很好!推薦大傢都看看!收到非常欣喜!快遞一天就到瞭!支持京東!
評分
☆☆☆☆☆
好
評分
☆☆☆☆☆
正在看著,正在看著。
評分
☆☆☆☆☆
不錯不錯不錯不錯不錯不錯
評分
☆☆☆☆☆
書很好,發貨快,很滿意。這本書書很好!推薦大傢都看看!收到非常欣喜!快遞一天就到瞭!支持京東!
評分
☆☆☆☆☆
對京東的購物方便很滿意。