CONTINUED FRACTIONS AND THEIR APPLICATIONS
This project explores continued fractions of real numbers, both rational numbers and irrational numbers, which are obtained through iteration. The iteration process can be carried out using the Euclid Algorithm method. From this process, simple finite continued fractions for rational numbers and...
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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/79755 |
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| Institution: | Institut Teknologi Bandung |
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id-itb.:797552024-01-15T14:15:30ZCONTINUED FRACTIONS AND THEIR APPLICATIONS Ramadani, Leni Indonesia Theses rational numbers, irrational numbers, quadratic irrational numbers, finite simple continued fractions, infinite simpel continued fractions, approximations, periodic continued fractions. INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/79755 This project explores continued fractions of real numbers, both rational numbers and irrational numbers, which are obtained through iteration. The iteration process can be carried out using the Euclid Algorithm method. From this process, simple finite continued fractions for rational numbers and simple infinite continued fractions for irrational numbers are obtained. Beside that, Lagrange Theorem about continued fractions for quadratic irrational numbers is also discussed. Knowledge about continued fractions enables teachers to give students better insights about rational and irrational numbers. text |
| institution |
Institut Teknologi Bandung |
| building |
Institut Teknologi Bandung Library |
| continent |
Asia |
| country |
Indonesia Indonesia |
| content_provider |
Institut Teknologi Bandung |
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Digital ITB |
| language |
Indonesia |
| description |
This project explores continued fractions of real numbers, both rational numbers
and irrational numbers, which are obtained through iteration. The iteration process
can be carried out using the Euclid Algorithm method. From this process, simple
finite continued fractions for rational numbers and simple infinite continued
fractions for irrational numbers are obtained. Beside that, Lagrange Theorem about
continued fractions for quadratic irrational numbers is also discussed. Knowledge
about continued fractions enables teachers to give students better insights about
rational and irrational numbers. |
| format |
Theses |
| author |
Ramadani, Leni |
| spellingShingle |
Ramadani, Leni CONTINUED FRACTIONS AND THEIR APPLICATIONS |
| author_facet |
Ramadani, Leni |
| author_sort |
Ramadani, Leni |
| title |
CONTINUED FRACTIONS AND THEIR APPLICATIONS |
| title_short |
CONTINUED FRACTIONS AND THEIR APPLICATIONS |
| title_full |
CONTINUED FRACTIONS AND THEIR APPLICATIONS |
| title_fullStr |
CONTINUED FRACTIONS AND THEIR APPLICATIONS |
| title_full_unstemmed |
CONTINUED FRACTIONS AND THEIR APPLICATIONS |
| title_sort |
continued fractions and their applications |
| url |
https://digilib.itb.ac.id/gdl/view/79755 |
| _version_ |
1822996477808476160 |