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Sets: Naïve, Axiomatic and Applied

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Sets: Naïve, Axiomatic and Applied is a basic compendium on naïve, axiomatic, and applied set theory and covers topics r... Weiterlesen
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Beschreibung

Sets: Naïve, Axiomatic and Applied is a basic compendium on naïve, axiomatic, and applied set theory and covers topics ranging from Boolean operations to union, intersection, and relative complement as well as the reflection principle, measurable cardinals, and models of set theory. Applications of the axiom of choice are also discussed, along with infinite games and the axiom of determinateness.
Comprised of three chapters, this volume begins with an overview of naïve set theory and some important sets and notations. The equality of sets, subsets, and ordered pairs are considered, together with equivalence relations and real numbers. The next chapter is devoted to axiomatic set theory and discusses the axiom of regularity, induction and recursion, and ordinal and cardinal numbers. In the final chapter, applications of set theory are reviewed, paying particular attention to filters, Boolean algebra, and inductive definitions together with trees and the Borel hierarchy.
This book is intended for non-logicians, students, and working and teaching mathematicians.

Produktinformationen

Titel: Sets: Naïve, Axiomatic and Applied
Untertitel: A Basic Compendium with Exercises for Use in Set Theory for Non Logicians, Working and Teaching Mathematicians and Students
Editor:
Autor:
EAN: 9781483150390
Digitaler Kopierschutz: Adobe-DRM
Format: E-Book (pdf)
Hersteller: Elsevier Reference Monographs
Genre: Mathematik
Anzahl Seiten: 363
Veröffentlichung: 09.05.2014
Dateigrösse: 20.3 MB
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