朴素集合论(Naive Set Theory)

王朝导购·作者佚名

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　　分类: 图书,科学与自然,数学,数理逻辑、数学基础,
　　品牌: 哈莫斯

基本信息·出版社：世界图书出版公司

·页码：104 页

·出版日期：2008年

·ISBN：7506292173/9787506292177

·条形码：9787506292177

·包装版本：1版

·装帧：平装

·开本：32

·正文语种：英语

·外文书名：Naive Set Theory

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内容简介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。

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 ZORN'S LEMMA

17 WELL ORDERING

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