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.
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© 1965 Springer-Verlag Berlin Heidelberg
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Hewitt, E., Stromberg, K.R. (1965). Set Theory and Algebra. In: Real and Abstract Analysis. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-29794-0_1
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DOI: https://doi.org/10.1007/978-3-662-29794-0_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-28275-5
Online ISBN: 978-3-662-29794-0
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