On simple continued fractions
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...
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1993
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oai:animorepository.dlsu.edu.ph:etd_bachelors-166342022-01-28T04:09:09Z On simple continued fractions See, Shirley Ong Sy, Phyllis Lim 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. 1993-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/etd_bachelors/16121 Bachelor's Theses English Animo Repository Fractions, Continued Processes, Infinite Numbers, Theory of Continued fractions |
| institution |
De La Salle University |
| building |
De La Salle University Library |
| continent |
Asia |
| country |
Philippines Philippines |
| content_provider |
De La Salle University Library |
| collection |
DLSU Institutional Repository |
| language |
English |
| topic |
Fractions, Continued Processes, Infinite Numbers, Theory of Continued fractions |
| spellingShingle |
Fractions, Continued Processes, Infinite Numbers, Theory of Continued fractions See, Shirley Ong Sy, Phyllis Lim On simple continued fractions |
| description |
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. |
| format |
text |
| author |
See, Shirley Ong Sy, Phyllis Lim |
| author_facet |
See, Shirley Ong Sy, Phyllis Lim |
| author_sort |
See, Shirley Ong |
| title |
On simple continued fractions |
| title_short |
On simple continued fractions |
| title_full |
On simple continued fractions |
| title_fullStr |
On simple continued fractions |
| title_full_unstemmed |
On simple continued fractions |
| title_sort |
on simple continued fractions |
| publisher |
Animo Repository |
| publishDate |
1993 |
| url |
https://animorepository.dlsu.edu.ph/etd_bachelors/16121 |
| _version_ |
1772835059867320320 |