朴素集合论

出版时间:2008-5-1  出版社:世界圖書出版公司  作者:Paul. R. Halmos  页数:104  
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内容概要

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。

书籍目录

SECTIONPREFACE 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 ZORN'S LEMMA 17 WELL ORDERING 18 TRANSFINITE RECURSION19 ORDINAL NUMBERS20 SETS OF ORDINAL NUMBERS21 ORDINAL ARITHMETIC22 THE SCHRODER-BERNSTEIN THEOREM23 COUNTABLE SETS24 CARDINAL ARITHMETIC25 CARDINAL NUMBERSINDEX

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用户评论 (总计7条)

 
 

  •     全英文版的书,印刷不错,但是没有课后习题。内容偏简单
  •     很经典的书,值得购买。
  •     书还可以,希望有中文版的。
  •     数学学习用
  •     虽然很薄,但内容并不浅,看起来还是很慢的
  •     因为这套丛书名气很大,所以特地买来看,但是发现内容过于简单,习题也少,很薄的一小本。感觉也就是本科生的水平,研究生和有集合论基础的,不推荐买。
  •     纸质一般,印刷字体比较粗,看起来不太清晰,书是好书
 

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