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The golden section and other topics.

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dc.contributor.author Barnes, Cathrine M.
dc.date.accessioned 2012-07-10T15:00:44Z
dc.date.available 2012-07-10T15:00:44Z
dc.date.created 1991 en_US
dc.date.issued 2012-07-10
dc.identifier.uri http://hdl.handle.net/123456789/1822
dc.description 62 leaves en_US
dc.description.abstract In Chapter I the statement of the problem and the scope of the thesis were given. Historical background and the geometrical foundation of the Golden Section were presented in Chapter II. The general additive sequence and the Fibonacci sequence were introduced and a survey of their properties, ranging from simple sums to a sequence which converges to the Golden Ratio, were established III Chapter III. The Golden Ratio and its properties were investigated in Chapter IV. This investigation included some special sequences, Binet's Formula, convergence of some infinite geometric series and a graph associat9d with I-he cyclic group generated by the Golden Ratio. Chapter V summarizes the preceding chapters, suggests possible uses for the information contained in the thesis and concludes the paper. en_US
dc.language.iso en_US en_US
dc.subject Golden section. en_US
dc.subject Geometry, Plane. en_US
dc.subject Ratio and proportion. en_US
dc.title The golden section and other topics. en_US
dc.type Thesis en_US
dc.college las en_US
dc.advisor Larry Scott en_US
dc.department mathematics, computer science, and economics en_US

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