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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| Main Author: | |
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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 |
| Language: | Indonesia |
| Summary: | 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. |
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