Notes on set theory
Author(s)
Bibliographic Information
Notes on set theory
（Undergraduate texts in mathematics）
Springer, c2006
2nd ed
- : hbk
- : pbk
Available at / 36 libraries
-
Hiroshima University Central Library, Interlibrary Loan
: hbk410.9:Mo-812000443685,
: pbk410.9:Mo-814030403067 -
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Note
Includes index
Description and Table of Contents
Description
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. In this new edition the author has added solutions to the exercises, and rearranged and reworked the text to improve the presentation.
Table of Contents
Introduction * Equinumerosity * Paradoxes and axioms * Are sets all there is? * The natural numbers * Fixed points * Well ordered sets * Choices * Choice's consequences * Baire space * Replacement and other axioms * Ordinal numbers * A. The real numbers * B. Axioms and universes * Index
by "Nielsen BookData"
