English

Axiomatic Definition of Limit of Real-Valued Functions

Classical Analysis and ODEs 2009-09-24 v1

Abstract

We present a new way of organizing the few mathematical statements which form introduction to Calculus: the epsilon-delta characterization of the limit is now d e r i v e d from four simple, intuitive and frequently used statements, which we choose as axioms.

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Cite

@article{arxiv.0909.4178,
  title  = {Axiomatic Definition of Limit of Real-Valued Functions},
  author = {Bogdan Baishanski},
  journal= {arXiv preprint arXiv:0909.4178},
  year   = {2009}
}

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6 pages