Krzysztof Ciesielski (West Virginia University)

Set Theory for the Working Mathematician

• Broschiertes Buch

Produktbeschreibung

This text concentrates on the typical methods of modern set theory: transfinite induction, Zorn's Lemma, the Continuum Hypothesis, Martin's Axiom, the Diamond Principle and elements of forcing. It supplies students and researchers with the tools most applicable to other areas of pure mathematics, such as abstract geometry, real analysis, topology, and algebra.

Produktdetails

• London Mathematical Society Student Texts
• Verlag: Cambridge University Press
• Seitenzahl: 252
• Erscheinungstermin: 1. August 1997
• Englisch
• Abmessung: 229mm x 152mm x 15mm
• Gewicht: 382g
• ISBN-13: 9780521594653
• ISBN-10: 0521594650
• Artikelnr.: 22136046

Inhaltsangabe

Part I. Basics of Set Theory: 1. Axiomatic set theory
2. Relations, functions and Cartesian product
3. Natural, integer and real numbers
Part II. Fundamental Tools of Set Theory: 4. Well orderings and transfinite induction
5. Cardinal numbers
Part III. The Power of Recursive Definitions: 6. Subsets of Rn
7. Strange real functions
Part IV. When Induction is Too Short: 8. Martin's axiom
9. Forcing
Part V. Appendices: A. Axioms of set theory
B. Comments on forcing method
C. Notation.