樸素集閤論 pdf epub mobi txt 電子書下載2025

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出版者:世界圖書齣版公司

作者:Paul. R. Halmos

出品人:

頁數:104 頁

译者:

出版時間:2008-5-1

價格:25.00元

裝幀:平裝

isbn號碼:9787506292177

叢書系列:Undergraduate Texts in Mathematics

圖書標籤:

數學
集閤論
經典
P.R.Halmos
Mathematics
math
樸素集閤論
數學(本科)
數學
集閤論
邏輯學
基礎數學
抽象數學
數學基礎
離散數學
數學教材
大學數學
數學入門

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具體描述

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。

著者簡介

圖書目錄

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
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
· · · · · · (收起)

讀後感

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