This book constitutes the fifth and final volume to establish the results claimed by the great Indian mathematician Srinivasa Ramanujan in his "Notebooks" first published in 1957. Although each of the five volumes contains many deep results, perhaps the average depth in this volume is greater than in the first four. There are several results on continued fractions a subject that Ramanujan loved very much. It is the author's wish that this volume and previous volumes will serve as springboards for further investigations by mathematicians intrigued by Ramanujan's remarkable ideas.