Publication Date
1-1-2011
Document Type
Dissertation/Thesis
First Advisor
Blecksmith, Richard
Degree Name
B.S. (Bachelor of Science)
Legacy Department
Department of Mathematical Sciences
Abstract
The focus of this project is to study the mathematical relationship of the continued fraction sum and the continuedfraction product. Any real number can be written as a continued fraction, so the addition and multiplication of any two continued fractions is the same as the real numbers they represent. However, the continued fraction sum and continued fraction product each result in another continued fraction. The problem is the determining the relationship that this new continued fraction has with the original two. This will be achieved by observing the characteristics ofthe 3D graphs contained within the unit cube. This topic is interesting because it is relatively unexplored. Whether or not these relationships will lead to anything significant is yet to be determined.
Recommended Citation
Rodgers, Erik, "Continued Fractions Sums and Products" (2011). Honors Capstones. 337.
https://huskiecommons.lib.niu.edu/studentengagement-honorscapstones/337
Extent
18 pages
Language
eng
Publisher
Northern Illinois University
Rights Statement
In Copyright
Rights Statement 2
NIU theses are protected by copyright. They may be viewed from Huskie Commons for any purpose, but reproduction or distribution in any format is prohibited without the written permission of the authors.
Media Type
Text
