On the shape of e

This paper is an exposition of an article entitled The Shape of e by Mary Coughlin published in Mathematics Magazine (Vol. 62, No. 1, Feb. 1989).Since the invention of e by the Greeks during the 1700's the question of what its geometric representation looks like has not yet been answered. The a...

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Main Authors: Feliciano, Cherry C., Villanueva, Anna Lyn S.
格式: text
語言:English
出版: Animo Repository 1993
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在線閱讀:https://animorepository.dlsu.edu.ph/etd_bachelors/16095
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總結:This paper is an exposition of an article entitled The Shape of e by Mary Coughlin published in Mathematics Magazine (Vol. 62, No. 1, Feb. 1989).Since the invention of e by the Greeks during the 1700's the question of what its geometric representation looks like has not yet been answered. The association of n with the circle makes a clearer representation of what the concept means and a supportive justification of its importance. The irrational number e is not closely identified with a definite geometric shape making its vague existence now even further from clarity.The purpose of this thesis is to identify and associate a definite geometric entity with the base e of the natural logarithm. This paper is focused on finding a geometric representation or shape of the base e of the natural logarithm.