A Book of Set Theory (Paperback)
暫譯: 集合論入門 (平裝本)

Charles C Pinter

  • 出版商: Dover Publications
  • 出版日期: 2014-07-16
  • 售價: $608
  • 語言: 英文
  • 頁數: 256
  • 裝訂: Paperback
  • ISBN: 0486497089
  • ISBN-13: 9780486497082
  • 下單後立即進貨 (約5~7天)

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商品描述

Suitable for upper-level undergraduates, this accessible approach to set theory poses rigorous but simple arguments. Each definition is accompanied by commentary that motivates and explains new concepts. Starting with a repetition of the familiar arguments of elementary set theory, the level of abstract thinking gradually rises for a progressive increase in complexity.
A historical introduction presents a brief account of the growth of set theory, with special emphasis on problems that led to the development of the various systems of axiomatic set theory. Subsequent chapters explore classes and sets, functions, relations, partially ordered classes, and the axiom of choice. Other subjects include natural and cardinal numbers, finite and infinite sets, the arithmetic of ordinal numbers, transfinite recursion, and selected topics in the theory of ordinals and cardinals. This updated edition features new material by author Charles C. Pinter.

商品描述(中文翻譯)

適合高年級本科生,本書以易於理解的方式介紹集合論,提出嚴謹但簡單的論證。每個定義都附有評論,旨在激發並解釋新概念。從重複熟悉的初等集合論論證開始,抽象思維的層次逐漸上升,複雜性逐步增加。

歷史導言簡要介紹了集合論的發展,特別強調了導致各種公理集合論系統發展的問題。隨後的章節探討了類別和集合、函數、關係、部分有序類別以及選擇公理。其他主題包括自然數和基數、有限集合和無限集合、序數的算術、超限遞歸,以及序數和基數理論中的選定主題。本次更新版包含了作者 Charles C. Pinter 的新材料。