E-Book, Englisch, 296 Seiten, eBook
Moschovakis Notes on Set Theory
2. Auflage 2006
ISBN: 978-0-387-31609-3
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 296 Seiten, eBook
Reihe: Mathematics and Statistics (R0)
ISBN: 978-0-387-31609-3
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Lower undergraduate
Autoren/Hrsg.
Weitere Infos & Material
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
