Introduction to Set Theory, Revised and Expanded

3rd revised and expanded Auflage
ISBN: 978-0-8247-7915-3
Verlag: CRC Press

Buch, Englisch, 310 Seiten, Format (B × H): 158 mm x 234 mm, Gewicht: 490 g

Reihe: Chapman & Hall/CRC Pure and Applied Mathematics

Thoroughly revised, updated, expanded, and reorganized to serve as a primary text for mathematics courses, Introduction to Set Theory, Third Edition covers the basics: relations, functions, orderings, finite, countable, and uncountable sets, and cardinal and ordinal numbers. It also provides five additional self-contained chapters, consolidates the material on real numbers into a single updated chapter affording flexibility in course design, supplies end-of-section problems, with hints, of varying degrees of difficulty, includes new material on normal forms and Goodstein sequences, and adds important recent ideas including filters, ultrafilters, closed unbounded and stationary sets, and partitions.

Zielgruppe

Undergraduate

Autoren/Hrsg.

Hrbacek, Karel

Jech, Thomas

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik

Inhaltsverzeichnis

Sets; relations, functions and orderings; natural numbers; finite, countable and uncountable sets; cardinal numbers; ordinal numbers; alephs; the axiom of choice; arithmetic of cardinal numbers; sets of real numbers; filters and ultrafilters; combinatorial set theory; large cardinals; the axiom of foundation; the axiomatic set theory.

Über Autor(innen)

Hrbacek, Karel; Jech, Thomas