On simple continued fractions
Date of Publication
1993
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/Summary
This thesis presents a study concerning a sequence of real numbers which gives rise to a continued fraction whenever the second equation is substituted to the first equation and each fraction after the second is substituted to the denominator of the fraction which precedes it in the sequence.Simple continued fractions are governed by certain theorems, that cover rational numbers expressible as simple finite continued fractions and vice versa, and irrational numbers expressible as simple infinite continued fractions and vice versa. These theorems are organized, analyzed, proven and completed. In addition, examples are provided for better understanding of such theorems.
Abstract Format
html
Language
English
Format
Accession Number
TU06293
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
[72] leaves
Keywords
Fractions, Continued; Processes, Infinite; Numbers, Theory of; Continued fractions
Recommended Citation
See, S. O., & Sy, P. (1993). On simple continued fractions. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/16121
