Set Theory and Algebra

Edwin Hewitt and Karl Stromberg
Additional contact information
Edwin Hewitt: The University of Washington
Karl Stromberg: The University of Oregon

Chapter Chapter One in Real and Abstract Analysis, 1965, pp 1-52 from Springer

Abstract: Abstract From the logician’s point of view, mathematics is the theory of sets and its consequences. For the analyst, sets and concepts immediately definable from sets are essential tools, and manipulation of sets is an operation he must carry out continually. Accordingly we begin with two sections on sets and functions, containing few proofs, and intended largely to fix notation and terminology and to form a review for the reader in need of one. Sections 3 and 4, on the axiom of choice and infinite arithmetic, are more serious: they contain detailed proofs and are recommended for close study by readers unfamiliar with their contents.

Keywords: Cauchy Sequence; Choice Function; Ordinal Number; Cardinal Number; Maximal Chain (search for similar items in EconPapers)
Date: 1965
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-88044-5_1

Ordering information: This item can be ordered from
http://www.springer.com/9783642880445

DOI: 10.1007/978-3-642-88044-5_1

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().