ENGLISH

Notes on set theory

By Yiannis Moschovakis

Book information

Publisher
Springer
Year
2006
ISBN
0387287221, 9780387287232, 9780387287225, 038728723X
Open Library ID
OL7445100M
Language
english
Format
PDF
Filesize
2 MB (1644942 bytes)
Series
Undergraduate texts in mathematics
Edition
2nd ed
Pages
284\284
Topic
Mathematics Algebra
Library
kolxoz
Time added
2009-07-20 03:45:11

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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