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Set Theory and Algebra

In: Real and Abstract Analysis

Author

Listed:
  • Edwin Hewitt

    (The University of Washington)

  • Karl Stromberg

    (The University of Oregon)

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.

Suggested Citation

  • Edwin Hewitt & Karl Stromberg, 1965. "Set Theory and Algebra," Springer Books, in: Real and Abstract Analysis, chapter 0, pages 1-52, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-88044-5_1
    DOI: 10.1007/978-3-642-88044-5_1
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