Krzysztof Ciesielski, Ciesielski Krzysztof

Set Theory for the Working Mathematician

• Gebundenes Buch

Produktbeschreibung

Presents those methods of modern set theory most applicable to other areas of pure mathematics.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 252
• Erscheinungstermin: 22. Dezember 2007
• Englisch
• Abmessung: 235mm x 157mm x 19mm
• Gewicht: 567g
• ISBN-13: 9780521594417
• ISBN-10: 0521594413
• Artikelnr.: 23509924

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.