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Commentary on the Algebra of Analysis and Algebra of Functions

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Abstract

Karl Menger’s interest in the Algebra of Analysis (which later evolved into the Algebra of Functions) grew out of his experience teaching calculus to large classes of potential naval officers at Notre Dame University during the Second World War. Now throughout his life, Menger was impelled to uncover the basic structure underlying any mathematical area he was involved with, and to express this structure in explicit axiomatic form. So, since calculus is predicated on the behavior of functions under various operations, he resolved to elucidate the fundamental properties of these operations.

Note that the phrase “ Algebra of Functions” already appears in [M1](in the Table of Contents!)

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Reference

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Authors
  1. A. Sklar
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Editor information

Editors and Affiliations

  1. Department of Mathematics and Statistics, University of Massachusetts, Lederle Graduate Research Center, Amherst, MA, USA

    Bert Schweizer

  2. Department of Mathematics, Illinois Institute of Technology, Chicago, IL, USA

    Abe Sklar

  3. Institute of Mathematics, University of Vienna, Austria

    Karl Sigmund  & Leopold Schmetterer  & 

  4. Institute of Analysis and Technical Mathematics, Technical University, Vienna, Austria

    Peter Gruber  & Edmund Hlawka  & 

  5. Institute of Mathematics, University of Graz, Austria

    Ludwig Reich

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© 2003 Springer-Verlag Wien

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Sklar, A. (2003). Commentary on the Algebra of Analysis and Algebra of Functions. In: Schweizer, B., et al. Selecta Mathematica. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6045-9_17

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  • DOI: https://doi.org/10.1007/978-3-7091-6045-9_17

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  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-7091-7294-0

  • Online ISBN: 978-3-7091-6045-9

  • eBook Packages: Springer Book Archive

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