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Название: The Joy of Sets: Fundamentals of Contemporary Set Theory, Second Edition (Undergraduate Texts in Mathematics)
Автор: Devlin K.
This book provides an account of those parts of contemporary set theory of direct relevance to other areas of pure mathematics. The intended reader is
either an advanced-level mathematics undergraduate, a beginning graduate
student in mathematics, or an accomplished mathematician who desires or
needs some familiarity with modern set theory. The book is written in a
fairly easy-going style, with minimal formalism.
In Chapter 1, the basic principles of set theory are developed in a 'naive'
manner. Here the notions of 'set', 'union', 'intersection', 'power set', 'rela-
tion', 'function', etc., are defined and discussed. One assumption in writing
Chapter 1 has been that, whereas the reader may have met all of these
concepts before and be familiar with their usage, she 1 may not have con-
sidered the various notions as forming part of the continuous development
of a pure subject (namely, set theory). Consequently, the presentation is
at the same time rigorous and fast.