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The algebra of functions: past, present, future

In: Selecta Mathematica

Author

Listed:
  • K. Menger

Abstract

Riassunto Virianto, si dice, nell’età dell’algebra e delle teoria astratte assiomatiche. Ma uno dei concetti matematici più importante — il concetto di funzioue —non è stato nè « algebrizzato » nè assiomatizzato. Coaì come nelle definizioani astratte di gruppo e di corpo gli algebristi pongono assiomi corrispondenti a qualche proprietà essenziale dei numeri, in questa Conferenza mi propongo di precisare talune proprietà essenziali di funzioni reali, e di scegliere qualcuna fra esse che possa servire come fondamento di una teoria astratta — un’algebra di funzioni.

Suggested Citation

  • K. Menger, 2003. "The algebra of functions: past, present, future," Springer Books, in: Bert Schweizer & Abe Sklar & Karl Sigmund & Peter Gruber & Edmund Hlawka & Ludwig Reich & Leopold Sc (ed.), Selecta Mathematica, pages 225-246, Springer.
    • Handle: RePEc:spr:sprchp:978-3-7091-6045-9_23
    DOI: 10.1007/978-3-7091-6045-9_23
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