Sets: Naive, Axiomatic and Applied e-bog
473,39 DKK
(inkl. moms 591,74 DKK)
Sets: Naive, Axiomatic and Applied is a basic compendium on naive, 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 determinatenes...
E-bog
473,39 DKK
Forlag
Pergamon
Udgivet
9 maj 2014
Længde
360 sider
Genrer
Mathematics
Sprog
English
Format
pdf
Beskyttelse
LCP
ISBN
9781483150390
Sets: Naive, Axiomatic and Applied is a basic compendium on naive, 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 naive 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.