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Concept of Limit in Real Analyses
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University of North London School of Education Concept of Limit in Real Analyses by Antonina Sculthorp Course BA/PGCE Secondary Mathematics Year: 1 Module MI 104 Seminar Tutor: M. Karamanou Course tutor: S. Woodage LONDON 2002 Introduction There is probably no other instance in human intellectual history in which so much time and effort was spent merely to reach a satisfactory definition as that for limit. The concept is very closely related with two other fundamental concepts of mathematics and exists alongside both infinity and continuity. The Greek scholars were the first who seriously considered problems of continuity and infinity based on the concept of 'number'. Various attempts were made by them to include the concept of number into geometry. Being able to construct a line segment of any rational m/n length (m,n, the Greeks discovered around 400 B.C. that a diagonal of a unit triangle is an irrational number, which falls out of the...
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