The golden section and other topics.

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.