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文件名称: Notes on Set Theory, 2ed (Undergraduate Texts in Mathematics)
  所属分类: 专业指导
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  文件大小: 2mb
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  上传时间: 2011-04-10
  提 供 者: liuz****
 详细说明: PREFACE What this book is about.The theory of sets is a vibrant, exciting mathematical theory, with its own basic notions, fundamental results and deep open prob- lems, andwith significantapplicationstoothermathematical theories. At the sametime,axiomaticsettheoryisoftenviewedasafoundationofmathematics: it is alleged that all mathematical objects are sets, and their properties can be derived from the relatively few and elegant axioms about sets. Nothing so simple-minded can be quite true, but there is little doubt that in standar d, current mathematical practice, “making a notion precise” is essentially syn- onymouswith “definingit in set theory”. Set theoryis the officiallanguageof mathematics, just as mathematics is the official language of science. Like most authors of elementary, introductory books about sets, I have tried to do justice to both aspects of the subject. ...展开收缩
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