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.

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Yes, you can access Sets: Naïve, Axiomatic and Applied by D. Van Dalen,H. C. Doets,H. De Swart, I. N. Sneddon in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Publisher

Pergamon

Year

2014

ISBN

9781483150390

Topic

Mathematics

Subtopic

Mathematics General

Index

Mathematics

Front Cover
Sets: Naïve, Axiomatic and Applied
Copyright Page
Table of Contents
Preface
Acknowledgements
Introduction
Chapter 1. Naive Set Theory
Chapter 2. Axiomatic Set Theory
Chapter 3. Applications
Appendix
Symbols
Literature
Index
Other Titles in the Series