Książka Set Theory for the Working Mathematician Krzysztof Ciesielski

Set Theory for the Working Mathematician

Język: Angielski
Oprawa: Miękka
Dostępność: Dostępna u dostawcy
Wysyłamy za 14-21 dni
282.42
This text presents methods of modern set theory as tools that can be usefully applied to other areas...

Informacje o książce

Język
Angielski
Oprawa
Książka - Miękka
Data wydania
1997
strony
252
EAN
9780521594653
ISBN
0521594650
Enbook ID
02036777
Waga
382
Wymiary
152 x 229 x 14

Pełny opis

This text presents methods of modern set theory as tools that can be usefully applied to other areas of mathematics. The author describes numerous applications in abstract geometry and real analysis and, in some cases, in topology and algebra. The book begins with a tour of the basics of set theory, culminating in a proof of Zorn's Lemma and a discussion of some of its applications. The author then develops the notions of transfinite induction and descriptive set theory, with applications to the theory of real functions. The final part of the book presents the tools of 'modern' set theory: Martin's Axiom, the Diamond Principle, and elements of forcing. Written primarily as a text for beginning graduate or advanced level undergraduate students, this book should also interest researchers wanting to learn more about set theoretical techniques applicable to their fields.

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