GERMAN

The Joy of Sets: Fundamentals of Contemporary Set Theory

By Keith Devlin

Book information

Publisher
Springer
Year
1994
ISBN
0387940944, 9780387940946
LCC
QA248 .D38 1993
Open Library ID
OL1397210M
Language
german
Format
DJVU
Filesize
2 MB (1958002 bytes)
Series
Undergraduate Texts in Mathematics
Edition
1
Pages
205\205
Time added
2011-01-06 10:13:16

Description

This book is intended to provide an account of those parts of contemporary set theory that are relevant to other areas of pure mathematics. Intended for advanced undergraduates and beginning graduate students, the text is written in an easy-going style, with a minimum of formalism. The book begins with a review of "naive" set theory; it then develops the Zermelo-Fraenkel axioms of the theory, showing how they arise naturally from a rigorous answer to the question, "what is a set?" After discussing the ordinal and cardinal numbers, the book then delves into contemporary set theory, covering such topics as: the Borel hierarchy, stationary sets and regressive functions, and Lebesgue measure. Two chapters present an extension of the Zermelo-Fraenkel theory, discussing the axiom of constructibility and the question of provability in set theory. A final chapter presents an account of an alternative conception of set theory that has proved useful in computer science, the non-well-founded set theory of Peter Aczel. The author is a well-known mathematician and the editor of the "Computers in Mathematics" column in the AMS Notices and of FOCUS, the magazine published by the MAA.

Similar books