Explorations in continued fractions.

dc.contributor.author	Bathula, Alexander.
dc.date.accessioned	2012-12-13T17:46:20Z
dc.date.available	2012-12-13T17:46:20Z
dc.date.created	1978	en_US
dc.date.issued	2012-12-13
dc.identifier.uri	http://hdl.handle.net/123456789/2315
dc.description	89 leaves	en_US
dc.description.abstract	In order to make any type of exploration, some tools are necessary. The fraction 5/3 is chosen as a tool to make explorations in continued fractions. This thesis mainly consists of the following things. Discussion about the numbers 5/3, 5 and 3 and their significant contributions to the world of mathematics and to the theory of continued fractions in particular. It is to be noticed that 5/3 is the only fraction, when expanded in the form of a continued fraction, that has terms in its expansion whose sum is equal to the average of 5 and 3. Forty theorems in relation to the theory of continued fractions. Also some interesting observations. Famous numbers such as Fibonacci numbers, Theon diameters, et cetera, yield some properties in common to each other when they are studied in the light of continued fractions. A method is explained to get a magic square of order 3 from the magic hexagon of order 3.	en_US
dc.language.iso	en_US	en_US
dc.subject	Continued fractions.	en_US
dc.title	Explorations in continued fractions.	en_US
dc.type	Thesis	en_US
dc.college	las	en_US
dc.department	mathematics, computer science, and economics	en_US