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Axiomatic Definition of Limit of Real-Valued Functions

2009/09/23 by Bogdan M. Baishanski, Baishanski, Bogdan
Mathematics · #00A05 #97I99 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical and Theoretical Analysis

paper · pdf · doi:10.48550/arxiv.0909.4178

openalex publication_date 2009/09/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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