Notes on Set Theory (Undergraduate Texts in Mathematics) by Yiannis Moschovakis
English | December 21, 2005 | ISBN: 0387287221 | 284 Pages | PDF | 2 MB
English | December 21, 2005 | ISBN: 0387287221 | 284 Pages | PDF | 2 MB
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.