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For the purposes of this article, "analysis" will be limited to the generalization and extension of the concepts of calculus, using the concepts of elementary [[point-set topology]].
 
For the purposes of this article, "analysis" will be limited to the generalization and extension of the concepts of calculus, using the concepts of elementary [[point-set topology]].
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The reader should be quite familiar with the concepts of calculus, especially limits and continuity.  In particular, the reader should be comfortable with the ramifications of the phrase "for every epsilon".
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The reader should be quite familiar with the concepts of calculus, especially limits and continuity.  In particular, the reader should be comfortable with the ramifications of the phrase "[[Limit_%28mathematics%29|for every epsilon]]".
    
==Open sets==
 
==Open sets==
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