Graduation Year
2006
Document Type
Open Access Senior Thesis
Degree Name
Bachelor of Science
Department
Mathematics
Reader 1
Arthur T. Benjamin
Reader 2
Sanjai Gupta (Scripps)
Abstract
There are two main aims of this thesis. The first is to further develop and demonstrate applications of the combinatorial interpretation of continued fractions introduced in [Benjamin and Quinn, 2003]. The second is to investigate the theory of negative continued fractions, a relatively unresearched topic. That is, discuss the ways in which they are similar to and different from the regular class, describe how to convert between the two forms, and show that the central theorems concerning regular continued fractions also apply to the negative ones.
Recommended Citation
Eustis, Alexander, "The Negs and Regs of Continued Fractions" (2006). HMC Senior Theses. 180.
https://scholarship.claremont.edu/hmc_theses/180
Picture of Alexander Eustis
aeustis-2006-prop.pdf (55 kB)
Thesis Proposal
midyear_report.pdf (435 kB)
Midyear Report
aeustis-2006-thesis-poster.pdf (641 kB)
Poster
