ENGLISH

Notes on Set Theory

By Jeffrey Harris , Mike Latimer

Book information

Publisher
Springer
Year
2005
ISBN
9780672327490, 067232749X
LCC
QA76.76.O63 L3586 2005
Open Library ID
OL16392319M
Language
english
Format
PDF
Filesize
2 MB (2340254 bytes)
Series
Undergraduate Texts in Mathematics
Edition
2nd
Pages
285\285
Time added
2010-02-18 13:16:04

Description

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.

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