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ERIC Number: EJ875461
Record Type: Journal
Publication Date: 2004
Pages: 9
Abstractor: As Provided
Reference Count: 0
ISBN: N/A
ISSN: ISSN-0740-8404
Sky-High I's
Berry, Andrew J.
AMATYC Review, v25 n2 p2-10 Spr 2004
When discussing the topic of elementary complex variables, students are often mystified by the fact that ii is real. After seeing a proof of this statement, a standard question is "well, what about iii or iiii etc., are these real or complex?" In this paper the meaning of the infinite power-tower iii...is considered both from the "bottom-up" and the "top-down." Some surprising graphical representations are revealed and issues of convergence and evaluation are discussed. Finally, we introduce the elementary properties of the Lambert's W-function and it's relationship to the function f(x) = xxxx...which Euler explored in 1783.
American Mathematical Association of Two-Year Colleges. 5983 Macon Cove, Memphis, TN 38134. Tel: 901-333-4643; Fax: 901-333-4651; e-mail: amatyc@amatyc.org; Web site: http://www.amatyc.org
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Two Year Colleges
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A