Notes on Set Theory (Undergraduate Texts in Mathematics) pdf epub mobi txt 電子書下載2025

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出版者:Springer

作者:Yiannis Moschovakis

出品人:

頁數:292

译者:

出版時間:2005-12-21

價格:USD 79.95

裝幀:Hardcover

isbn號碼:9780387287225

叢書系列:Undergraduate Texts in Mathematics

圖書標籤:

集閤論
數學
Math
Spy

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The axiomatic theory of sets is a vibrant part of pure mathematics, with its own basic notions, fundamental results, and deep open problems. At the same time, it is often viewed as a foundation of mathematics so that in the most prevalent, current mathematical practice "to make a notion precise" simply means "to define it in set theory." This book tries to do justice to both aspects of the subject: it gives a solid introduction to "pure set theory" through transfinite recursion and the construction of the cumulative hierarchy of sets (including the basic results that have applications to computer science), but it also attempts to explain precisely how mathematical objects can be faithfully modeled within the universe of sets. In this new edition the author added solutions to the exercises, and rearranged and reworked the text in several places to improve the presentation. The book is aimed at advanced undergraduate or beginning graduate mathematics students and at mathematically minded graduate students of computer science and philosophy.