Notes on Set Theory
暫譯: 集合論筆記
Moschovakis, Yiannis
- 出版商: Springer
- 出版日期: 2005-12-08
- 售價: $3,050
- 貴賓價: 9.5 折 $2,898
- 語言: 英文
- 頁數: 278
- 裝訂: Quality Paper - also called trade paper
- ISBN: 038728723X
- ISBN-13: 9780387287232
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商品描述
The axiomatic theory of sets is a vibrant part of pure mathematics, with its own basic notions, fundamental results, and deep open problems. It is also viewed as a foundation of mathematics so that "to make a notion precise" simply means "to define it in set theory." This book gives a solid introduction to "pure set theory" through transfinite recursion and the construction of the cumulative hierarchy of sets, and also attempts to explain how mathematical objects can be faithfully modeled within the universe of sets. In this new edition the author has added solutions to the exercises, and rearranged and reworked the text to improve the presentation.
商品描述(中文翻譯)
集合的公理理論是純數學中一個充滿活力的部分,擁有其基本概念、基本結果和深刻的未解問題。它也被視為數學的基礎,因此「使一個概念精確」簡單來說就是「在集合論中定義它」。本書通過超限遞歸和集合的累積層次結構的構建,為「純集合論」提供了堅實的介紹,並試圖解釋數學對象如何能夠在集合的宇宙中被忠實地建模。在這個新版本中,作者添加了習題的解答,並重新安排和修訂了文本以改善呈現。